Geometry Final Exam Review 2012

Geometry Final Exam Review 2012

Multiple Choice

Identify the choice that best completes the statement or answers the question.

____1.is an altitude, , and . Find .

a. / 34 / c. / 18
b. / 32 / d. / 31

____2.An isosceles triangle has a base 9.6 units long. If the congruent side lengths have measures to the first decimal place, what is the shortest possible length of the sides?

a. / 4.9 / c. / 4.7
b. / 19.3 / d. / 9.7

____3.Which segment is the shortest possible distance from point D to plane P?

a. / / c. /
b. / / d. /

____4.Find the measure of each interior angle for a regular pentagon. Round to the nearest tenth if necessary.

a. / 360 / c. / 540
b. / 108 / d. / 72

____5.Find the measure of an interior angle of a regular polygon with 14 sides. Round to the nearest tenth if necessary.

a. / 2160 / c. / 154.3
b. / 25.7 / d. / 360

Complete the statement about parallelogram ABCD.

____6.

a. / ; Alternate interior angles are congruent.
b. / ; Alternate interior angles are congruent.
c. / ; Opposite angles of parallelograms are congruent.
d. / ; Opposite angles of parallelograms are congruent.

____7.

a. / ; Opposite sides of parallelograms are congruent.
b. / ; Diagonals of parallelograms bisect each other.
c. / ; Opposite sides of parallelograms are congruent.
d. / ; Diagonals of parallelograms bisect each other.

Refer to parallelogram ABCD to answer to following questions.

____8.What is the length of segment AK?

a. / / c. /
b. / / d. /

____9.What is the distance between points A and C?

a. / / c. /
b. / / d. /

____10.Do the diagonals bisect each other? Justify your answer.

a. / Yes; and
b. / Yes; The diagonals are not congruent.
c. / No; and
d. / No; The diagonals are not congruent.

Determine whether the quadrilateral is a parallelogram. Justify your answer.

____11.

a. / No; Opposite angles are congruent.
b. / Yes; Consecutive angles are not congruent.
c. / No; Consecutive angles are not congruent.
d. / Yes; Opposite angles are congruent.

Determine whether a figure with the given vertices is a parallelogram. Use the method indicated.

____12., , , ; Slope Formula

a. / Yes; The opposite sides have the same slope.
b. / No; Opposite sides are the same length.
c. / No; The opposite sides have the same slope.
d. / Yes; Opposite sides are the same length.

Quadrilateral ABCD is a rectangle.

____13.If and , find .

a. / 96 / c. / 24
b. / –6 / d. / 48

____14.In rhombus TUVW, if , find .

a. / 56 / c. / 34
b. / 68 / d. / 112

Given each set of vertices, determine whether parallelogram ABCD is a rhombus, a rectangle, or a square. List all that apply.

____15., , ,

a. / square; rectangle; rhombus / c. / square
b. / rhombus / d. / rectangle

____16., , ,

a. / rhombus / c. / square
b. / square; rectangle; rhombus / d. / rectangle

____17.For trapezoid JKLM, A and B are midpoints of the legs. Find ML.

a. / 4 / c. / 68
b. / 34 / d. / 40

____18.For trapezoid ABCD, E and F are midpoints of the legs. Let be the median of ABFE.

Find GH.

a. / 7 / c. / 4
b. / 8 / d. / 6

____19.At WhitewaterJunior High School, there are 360 students and 39 teachers. What is the ratio of students to each teacher rounded to the nearest tenth?

a. / 1:9.2 / c. / 120:13
b. / 9.2:1 / d. / 13:120

____20.Use the number line below to determine the ratio of AD to EI.

a. / 3:8 / c. / 3:4
b. / 4:3 / d. / 8:3

____21.For a recent project, a teacher purchased 250 pieces of red construction paper and 114 pieces of blue construction paper. What is the ratio of red to blue?

a. / 57:125 / c. / 125:182
b. / 125:57 / d. / 182:125

____22.A baseball player made six hits in nine innings. What is the ratio of hits to innings?

a. / 2:3 / c. / 2:5
b. / 3:2 / d. / 5:2

Solve each proportion.

____23.

a. / / c. /
b. / / d. /

____24.

a. / / c. /
b. / / d. /

____25.A hockey player made 9 goals in 12 games. Find the ratio of goals to games.

a. / 3:4 / c. / 1:3
b. / 4:3 / d. / 3:1

____26.A basketball player made 36 free throws in 16 games. Find the ratio of free throws to games.

a. / 4:9 / c. / 6:4
b. / 9:4 / d. / 9:5

Each pair of polygons is similar. Write a similarity statement, and find x, the measures of the indicated sides, and the scale factor.

____27. and

a. / ; ; ;
b. / ; ; ; 3.8
c. / ; ; ; ; 3.8
d. / ; ; ; ; 3.8

____28.CB and AB

a. / ; ; ; 3.6
b. / ; ; ;
c. / ; ; ; ; 3.6
d. / ; ; ; ; 3.6

Identify the similar triangles. Find x.

____29.

a. / ;
b. / ;
c. / ;
d. / ;

____30.

a. / ;
b. / ;
c. / ;
d. / ;

Determine whether each pair of triangles is similar. Justify your answer.

____31.

a. / No; sides are not proportional.
b. / yes; by SSS Similarity
c. / yes; by SSS Similarity
d. / yes; by SSS Similarity

____32.

a. / yes; by AA Similarity
b. / yes; by AA Similarity
c. / yes; by ASA Similarity
d. / No; there is not enough information to determine similarity.

Find x and the measures of the indicated parts.

____33.AB and AC

a. / / c. /
b. / / d. /

____34.BC and AC

a. / / c. /
b. / / d. /

____35.BC and AC

a. / / c. /
b. / / d. /

____36.BD and CE

a. / / c. /
b. / / d. /

____37.Determine whether . Justify your answer.

, , ,

a. / no, / c. / yes,
b. / yes, , / d. / no, ,

Find the perimeter of the given triangle.

____38. if

a. / 18 / c. / 15.23
b. / 60.5 / d. / 22

____39. if perimeter of

a. / 72 / c. / 108
b. / 18 / d. / 24

____40.Find PS if is an altitude of is an altitude of

a. / 7.5 / c. / 4.62
b. / 19.2 / d. / 19.5

____41.Find ST if and are altitudes and

a. / 7 / c. / 17
b. / 5 / d. / 19

____42.Find the geometric mean between each pair of numbers.

and

a. / 22.5 / c. / 464
b. / / d. /

____43.Find the measure of the .

a. / / c. /
b. / 11.5 / d. / 120

____44.Find x.

a. / 6 / c. /
b. / 16 / d. /

Determine whether is a right triangle for the given vertices. Explain.

____45.Q(–6, –2), R(2, –5), S(–3, 6)

a. / no; QR = , QS = , RS = ; QR2 + QS2 RS2
b. / yes; QR = , QS = , RS = ; QR2 + QS2 = RS2
c. / yes; QR = , QS = , RS = ; RS2 + QS2 = RQ2
d. / no; QR = , QS = , RS = ; RS2 + QS2 RQ2

____46.Q(18, 13), R(17, –3), S(–18, 12)

a. / no; QR = , QS = , RS = ; QR2 + QS2 RS2
b. / yes; QR = , QS = , RS = ; RS2 + QS2 = RQ2
c. / yes; QR = , QS = , RS = ; QR2 + QS2 RS2
d. / no; QR = , QS = , RS = ; RS2 + QS2 = RQ2

____47.Find x and y.

a. / / c. /
b. / / d. /

____48.Find x and y.

a. / / c. /
b. / / d. /

____49.Find the measure of the angle to the nearest tenth of a degree.

a. / 30.9 / c. / 0.5135
b. / 59.1 / d. / 27.2

____50.Use the figure to find the trigonometric ratio below. Express the answer as a decimal rounded to the nearest ten-thousandth.

cos B

AC = , CB = , AD = 11, CD = 2, DB = 1
a. / 2.2361 / c. / 0.4472
b. / 0.9839 / d. / 0.8944

____51.Lynn is standing at horizontal ground level with the base of the SearsTower in Chicago. The angle formed by the ground and the line segment from her position to the top of the building is 15.7°. The height of the SearsTower is 1450 feet. Find her distance from the SearsTower to the nearest foot.

a. / 408 ft / c. / 5159 ft
b. / 7 ft / d. / 5358 ft

____52.A space shuttle is one kilometer above sea level when it begins to climb at a constant angle of 3° for the next 80 ground kilometers. About how far above sea level is the space shuttle after its climb?

a. / 4.2 km / c. / 79.9 km
b. / 5.2 km / d. / 80.9 km

A 60-yard long drawbridge has one end at ground level. The other end is initially at an incline of 5°.

____53.How far off the ground is the raised end of the drawbridge in its initial setting?

a. / 5.23 yd / c. / 685.80 yd
b. / 59.77 yd / d. / 688.42 yd

____54.During one stage of the drawbridge’s motion, the raised end is 18 yards above the ground. What is the incline of the drawbridge to the nearest hundredth?

a. / 0.005° / c. / 17.46°
b. / 16.70° / d. / 72.54°

____55.While paddling a canoe up the river, Jan saw some beautiful flowers along the river bank. The canoe is 35 yards lower than the flowers. The distance from the canoe to the flowers is 225 yards. What is the angle of elevation?

a. / 8.8° / c. / 81.1°
b. / 8.9° / d. / 81.2°

____56.A traffic helicopter pilot 60 meters above the road spotted two antique cars. The angles of depression are 10.2° and 8.7°. How far apart are the cars?

a. / 58.6 m / c. / 333.5 m
b. / 392.1 m / d. / 57.8 m

____57.Two cabins are observed by a ranger in a 60-foot tower above a park. The angles of depression are 11.6° and 9.4°. How far apart are the cabins?

a. / 70.1 ft / c. / 362.4 ft
b. / 292.3 ft / d. / 69.0 ft

____58.Two swimmers are observed by a lifeguard in a 30-foot tower above the water. The angles of depression are 12.7° and 14.5°. How far apart are the swimmers?

a. / 16.6 ft / c. / 116.0 ft
b. / 133.1 ft / d. / 17.1 ft

____59.After flying at an altitude of 600 meters, a hot air balloon starts to descend when its ground distance from the landing pad is 10 kilometers. What is the angle of depression for this part of the flight?

a. / 0.95° / c. / 86.57°
b. / 3.43° / d. / 89.05°

____60.A water slide is 400 yards long with a vertical drop of 36.3 yards. Find the angle of depression of the slide.

a. / 5.2° / c. / 436.3°
b. / 84.8° / d. / 363.7°

Find each measure using the given measures of . Round measures to the nearest tenth.

____61.If 47.1, 59.6, and 52.2, find .

a. / 45.8 / c. / 56.7
b. / 0.8 / d. / 43.6

____62.David and his friends are building a fort on a triangular plot of land. They want to dig a moat around the fort. The length of one side of the plot of land is 27 feet. If the angles at the end of this side are 45° and 75°, find the length of the moat that will enclose the entire plot of land on which the fort is built.

a. / 22.0 ft / c. / 60 ft
b. / 30.1 ft / d. / 79.2 ft

____63.A playground is situated on a triangular plot of land. Two sides of the plot are 175 feet long and they meet at an angle of 70°. For safety reasons, a fence is to be placed along the perimeter of the property. How much fencing material is needed?

a. / 110 ft / c. / 375.8 ft
b. / 200.8 ft / d. / 550.8 ft

____64.Kim’s route from her front door to the mailbox, the swing set, and back to the front door forms a triangle. Two legs of the triangle are 245 feet long and they meet at an angle of 38°. How long is the entire route?

a. / 142 ft / c. / 404.5 ft
b. / 159.5 ft / d. / 649.5 ft

____65.Two observation stations that are 15 miles apart located a ship at the same time. The first station indicated that the position of the ship made an angle of 38° with the line between the stations. The second station indicated that it made an angle of 36° with the same line. How far is the first station from the ship?

a. / 9.17 mi / c. / 15 mi
b. / 9.6 mi / d. / 18.77 mi

____66.In , given the following measures, find the measure of the missing side to the nearest tenth..

, ,

a. / b 6.7 / c. / b 14.5
b. / b 394 / d. / b 45.3

Members of the soccer team are trying to map out some new plays before their next game. The goal is 24 feet wide.

____67.Nina put a player 25 feet from one goal post and 35 feet from the other post. What is the player’s angle to make a shot on goal?

a. / 43.3 / c. / 91.1
b. / 45.6 / d. / 1274

____68.Pedro came up with a play that would put him 35 feet from one goal post and 45 feet from the other post. What is his angle to make a shot on goal?

a. / 31.9 / c. / 100.8
b. / 48.4 / d. / 180

____69.Sophie’s favorite play has a player standing 18 feet from one goal post and 21 feet from the other post. What is the angle to make a shot on goal?

a. / 43.4 / c. / 57.9
b. / 46.6 / d. / 75.5

____70.Zack, Rachel, and Maddie are unraveling a huge ball of yarn to see how long it is. As they move away from each other, they form a triangle. The distance from Zack to Rachel is 3 meters. The distance from Rachel to Maddie is 2.5 meters. The distance from Maddie to Zack is 4 meters. Find the measures of the three angles in the triangle.

a. / , ,
b. / , ,
c. / , ,
d. / , ,

____71.Tomas, Ling, and Daniel are experimenting with a giant rubber band. They each hold the rubber band to create a triangle. The distance from Tomas to Ling is 24 inches. The distance from Ling to Daniel is 36 inches. The distance from Daniel to Tomas is 20 inches. Find the measures of the three angles in the triangle.

a. / , ,
b. / , ,
c. / , ,
d. / , ,

____72.Tiffany, Lori, and Mika are practicing for an egg-toss contest. The distance from Tiffany to Lori is 17 inches. The distance from Lori to Mika is 32 inches. The distance from Mika to Tiffany is 28 inches. Find the measures of the three angles in the triangle.

a. / , ,
b. / , ,
c. / , ,
d. / , ,

____73.Find the magnitude and direction of for the given coordinates. Round to the nearest tenth.

a. / 18.4, / c. / 220.6,
b. / 8.9, / d. / ,

____74.Find the exact circumference of the circle.

a. / 7 cm / c. / 10 cm
b. / 5 cm / d. / 4cm

Use the diagram to find the measure of the given angle.

____75.

a. / 50 / c. / 130
b. / 60 / d. / 40

____76.

a. / 110 / c. / 130
b. / 120 / d. / 140

Use the diagram to find the measure of the given angle.

____77.

a. / 95° / c. / 50°
b. / 20° / d. / 85°

____78.

a. / 85° / c. / 50°
b. / 20° / d. / 95°

____79.In , , =7x, =5x+12, and and are diameters.

Find marc.

a. / 56 / c. / 50
b. / 46 / d. / 49

____80.In , and AE=10.

Find m.

a. / 14 / c. / 10
b. / 12 / d. / 16

____81.

If =2x+2, =9x, find .

a. / 72 / c. / 75
b. / 19 / d. / 18

____82.Quadrilateral ABCD is inscribed in such that and . Find .

a. / 48 / c. / 46
b. / 44 / d. / 42

____83.Find x. Assume that segments that appear tangent are tangent.

a. / 9 / c. / 12
b. / 7 / d. / 17

____84.Find x. Assume that segments that appear tangent are tangent.

a. / 7 / c. / 9
b. / 5 / d. / 3

Find the measure of the numbered angle.

____85.

a. / 60 / c. / 80
b. / 70 / d. / 65

____86.

a. / 115 / c. / 120
b. / 125 / d. / 130

____87.

a. / 81 / c. / 94
b. / 90 / d. / 102

____88.

a. / 92 / c. / 94
b. / 95 / d. / 90

____89.

a. / 100 / c. / 90
b. / 180 / d. / 95

____90.

a. / 70 / c. / 80
b. / 75 / d. / 85

Find x. Assume that any segment that appears to be tangent is tangent.

____91.

a. / 50 / c. / 60
b. / 40 / d. / 70

____92.

a. / 65 / c. / 68
b. / 66 / d. / 62

____93.

a. / 22 / c. / 18
b. / 9 / d. / 11

____94.

a. / 47 / c. / 44
b. / 48 / d. / 43

____95.

a. / 35 / c. / 25
b. / 20 / d. / 30

Find x. Round to the nearest tenth if necessary.

____96.

a. / 5 / c. / 3
b. / 6 / d. / 4

____97.

a. / 10.5 / c. / 3.2
b. / 2.4 / d. / 3.5

____98.

a. / 4.2 / c. / 3.2
b. / 3.8 / d. / 3.7

____99.

a. / 4 / c. / 6
b. / 5.5 / d. / 5

____100.

a. / 6 / c. / 7
b. / 6.5 / d. / 7.2

Find x. Round to the nearest tenth if necessary. Assume that segments that appear to be tangent are tangent.

____101.

a. / 9 / c. / 3
b. / 2 / d. / 8

____102.

a. / 7.2 / c. / 1.7
b. / 4 / d. / 3

____103.

a. / 8 / c. / 3
b. / 10 / d. / 4

____104.

a. / 3 / c. / 2
b. / 7 / d. / 4

____105.

a. / 3.3 / c. / 3.1
b. / 2.5 / d. / 4.5

____106.

a. / 8.5 / c. / 9.3
b. / 9.0 / d. / 9.6

Geometry Review 2012

Answer Section

MULTIPLE CHOICE

1.ANS:A

If is an altitude, . The measures of the angles of every triangle add up to 180.

Feedback
A / Correct!
B / Which angle measures add up to 180?
C / Which angles must measure 90°?
D / Check your math.

PTS:1DIF:AverageREF:Lesson 5-2OBJ:5-2.1 Use altitudes in triangles.

NAT:NCTM GM.1 | NCTM GM.1aTOP:Use altitudes in triangles.

KEY:Altitudes | Triangles

2.ANS:A

The sum of the lengths of any two sides must be greater than the third.

Feedback
A / Correct!
B / Would both sides have to be longer than the base?
C / Is the sum of the two sides longer than the base?
D / Is that the shortest possible length?

PTS:1DIF:AverageREF:Lesson 5-5

OBJ:5-5.2 Determine the shortest distance between a point and a line.

NAT:NCTM AL.2 | NCTM AL.2b | NCTM GM.1

TOP:Determine the shortest distance between a point and a line.

KEY:Distance | Distance Between a Point and a Line

3.ANS:B

The shortest possible distance from point D to plane Pis a straight line perpendicular to plane Pthrough point D.

Feedback
A / Is this line perpendicular to plane P?
B / Correct!
C / Is this line perpendicular to plane P?
D / What is the relationship between the shortest segment and the plane?

PTS:1DIF:AverageREF:Lesson 5-5

OBJ:5-5.2 Determine the shortest distance between a point and a line.

NAT:NCTM AL.2 | NCTM AL.2b | NCTM GM.1

TOP:Determine the shortest distance between a point and a line.

KEY:Distance | Distance Between a Point and a Line

4.ANS:B

To find the size of each interior angle of a regular polygon, use the formula .

Feedback
A / This is the sum of the exterior angles.
B / Correct!
C / This is the sum of all of the interior angles, not each individual angle.
D / This is the value of each exterior angle.

PTS:1DIF:AverageREF:Lesson 6-1

OBJ:6-1.1 Find the sum of the measures of the interior angles of a polygon.

NAT:NCTM GM.1 | NCTM GM.1a | NCTM ME.1

TOP:Find the sum of the measures of the interior angles of a polygon.

KEY:Interior Angles | Polygons

5.ANS:C

To find the size of each interior angle of a regular polygon, use the formula .

Feedback
A / This is the sum of all of the interior angles, not each individual angle.
B / This is the value of each exterior angle.
C / Correct!
D / This is the sum of the exterior angles.

PTS:1DIF:AverageREF:Lesson 6-1

OBJ:6-1.1 Find the sum of the measures of the interior angles of a polygon.

NAT:NCTM GM.1 | NCTM GM.1a | NCTM ME.1

TOP:Find the sum of the measures of the interior angles of a polygon.

KEY:Interior Angles | Polygons

6.ANS:C

Locate the angle on the parallelogram. Using the properties of parallelograms, determine which angle is congruent to that angle.

Feedback
A / Why are these angles congruent?
B / Check the angle and reason.
C / Correct!
D / This angle is not congruent to the original angle.

PTS:1DIF:AverageREF:Lesson 6-2

OBJ:6-2.1 Recognize and apply properties of the sides and angles of parallelograms.

NAT:NCTM GM.1 | NCTM GM.1aSTA:4.2.12 A.3

TOP:Recognize and apply properties of the sides and angles of parallelograms.

KEY:Parallelograms | Properties of Parallelograms

7.ANS:C

Locate the indicated segment on the parallelogram. Using the properties of parallelograms, determine which segment is congruent to that segment.

Feedback
A / This segment is not congruent to the original segment.
B / Why are these segments congruent?
C / Correct!
D / Check the segment and reason.

PTS:1DIF:AverageREF:Lesson 6-2

OBJ:6-2.1 Recognize and apply properties of the sides and angles of parallelograms.

NAT:NCTM GM.1 | NCTM GM.1aSTA:4.2.12 A.3

TOP:Recognize and apply properties of the sides and angles of parallelograms.

KEY:Parallelograms | Properties of Parallelograms

8.ANS:C

Use the distance formula to determine the missing length. The distance formula is .

Feedback
A / This is the length of DK.
B / This is the length of BD.
C / Correct!
D / This is the length of AC.

PTS:1DIF:BasicREF:Lesson 6-2

OBJ:6-2.2 Recognize and apply properties of diagonals of parallelograms.

NAT:NCTM GM.1 | NCTM GM.1aSTA:4.2.12 A.3

TOP:Recognize and apply properties of diagonals of parallelograms.

KEY:Parallelograms | Properties of Parallelograms | Diagonals

9.ANS:D

Use the distance formula to determine the missing length. The distance formula is .

Feedback
A / This is the length of DK.
B / This is the length of BD.
C / This is the length of AK.
D / Correct!

PTS:1DIF:BasicREF:Lesson 6-2

OBJ:6-2.2 Recognize and apply properties of diagonals of parallelograms.

NAT:NCTM GM.1 | NCTM GM.1aSTA:4.2.12 A.3

TOP:Recognize and apply properties of diagonals of parallelograms.

KEY:Parallelograms | Properties of Parallelograms | Diagonals

10.ANS:A

Use the distance formula to determine the lengths of the segments. The distance formula is . In order for the diagonals to be bisected, each segment of the diagonal should be congruent.

Feedback
A / Correct!
B / Do the diagonals need to be congruent?
C / If the diagonals bisect each other, these segments should be congruent.
D / Check the measurements of the segments.

PTS:1DIF:AverageREF:Lesson 6-2

OBJ:6-2.2 Recognize and apply properties of diagonals of parallelograms.

NAT:NCTM GM.1 | NCTM GM.1aSTA:4.2.12 A.3

TOP:Recognize and apply properties of diagonals of parallelograms.

KEY:Parallelograms | Properties of Parallelograms | Diagonals

11.ANS:D

Using the properties of parallelograms, study the quadrilateral. If it satisfies the properties, it is a parallelogram.

Feedback
A / This is a reason why quadrilaterals are parallelograms.
B / Do consecutive angles have to be congruent to form a parallelogram?
C / Do consecutive angles need to be congruent?
D / Correct!

PTS:1DIF:BasicREF:Lesson 6-3

OBJ:6-3.1 Recognize the conditions that ensure a quadrilateral is a parallelogram.

NAT:NCTM GM.1c | NCTM GM.2 | NCTM GM.2bSTA:4.2.12 A.3

TOP:Recognize the conditions that ensure a quadrilateral is a parallelogram.

KEY:Quadrilaterals | Parallelograms | Determining a Parallelogram

12.ANS:A

Using the method indicated, determine if the points form a parallelogram. If the opposite sides are congruent, the slopes of opposite sides are congruent, or the diagonals share the same midpoint, then the points form a parallelogram.

Feedback
A / Correct!
B / Which method was used to solve the problem?
C / This is a valid reason for the quadrilateral to be a parallelogram.
D / Did you use the method in the directions?

PTS:1DIF:AverageREF:Lesson 6-3

OBJ:6-3.2 Prove that a set of points forms a parallelogram in the coordinate plane.

NAT:NCTM GM.1 | NCTM GM.1aSTA:4.2.12 A.3

TOP:Prove that a set of points forms a parallelogram in the coordinate plane.

KEY:Parallelograms | Determining a Parallelogram

13.ANS:A

The diagonals of a rectangle are congruent. Set the segments equal to each other and solve for the variable. Use the variable’s value to solve for the diagonal length.

Feedback
A / Correct!
B / This is the value of the variable not the length of the diagonal.
C / Multiply, not divide, by two to find the length of the diagonal.
D / This is not the length of the entire diagonal.

PTS:1DIF:AverageREF:Lesson 6-4

OBJ:6-4.1 Recognize and apply properties of rectangles.NAT:NCTM GM.1 | NCTM GM.1a

STA:4.2.12 A.3TOP:Recognize and apply properties of rectangles.

KEY:Rectangles | Properties of Rectangles

14.ANS:A

The diagonals of a rhombus bisect the angles. Also, consecutive angles are supplementary.

Feedback
A / Correct!
B / Doubling the given angle does not give the answer.
C / This is the size of the given angle.
D / Which angle is asked for?

PTS:1DIF:BasicREF:Lesson 6-5

OBJ:6-5.1 Recognize and apply properties of rhombi.NAT:NCTM GM.1 | NCTM GM.1a

STA:4.2.12 A.3TOP:Recognize and apply the properties of rhombi.

KEY:Rhombi | Properties of Rhombi

15.ANS:A

Plot the vertices on a coordinate plane. Determine if the diagonals are perpendicular. If so, the quadrilateral is either a rhombus or square. Use the distance formula to compare the lengths of the diagonals. If the diagonals are congruent and perpendicular, the quadrilateral is a square.

Feedback
A / Correct!
B / Are the angles congruent?
C / Remember to list all that apply.
D / Are the sides congruent?

PTS:1DIF:AverageREF:Lesson 6-5