Directions: Use Any Notes, Peers, Etc. to Answer EACH QUESTION CORRECTLY

EoC Review

Name:______Period:_____Date:______

Directions: Use any notes, peers, etc. to answer EACH QUESTION CORRECTLY.

True / False
Indicate whether the statement is true or false. CIRCLE THE ANSWER
Write true or false.
1.The diagonals of a parallelogram are always perpendicular.
a. / True
b. / False
2.A quadrilateral with two pairs of parallel sides is always a parallelogram.
a. / True
b. / False
3.The slope of and is and the slope of and is . ABCD is a parallelogram.
a. / True
b. / False
4.True or false. A quadrilateral that is a rectangle and a rhombus is a square.
a. / True
b. / False
Completion
Enter the appropriate word(s) to complete the statement.
altitude / Incenter / orthocenter
centroid / indirect proof / perpendicular bisector
circumcenter / indirect reasoning / point of concurrency
concurrent lines / median / proof by contradiction
Choose from the terms above to complete each sentence.
5.A(n) ______is a segment that joins a vertex of a triangle and is perpendicular to the side opposite to the vertex.
6.Proof by contradiction is a type of ______.
7.The ______of a triangle is equidistant from the vertices of the triangle.
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EoC Review

Name:______Period:_____Date:______

Directions: Use any notes, peers, etc. to answer EACH QUESTION CORRECTLY.

acute angle / coplanar / n-gon / right angle
adjacent angles / cylinder / obtuse angle / segment bisector
angle / degree / opposite rays / side
angle bisector / distance / perimeter / space
area / edge / perpendicular / sphere
base / equiangular polygon / plane / supplementary angles
between / equilateral polygon / Platonic solid / surface area
circumference / exterior / point / undefined term
collinear / face / polygon / vertex
complementary angles / interior / polyhedron / vertex of a polygon
concave / intersection / prism / vertical angles
cone / line / pyramid / volume
Choose from the terms above to complete each sentence.
8.Two angles that lie in the same plane are called ______if they share a common side and a common vertex
9.Two angles are ______if their measures have a sum of 180.
10.A(n) ______divides an angle into two congruent angles.
apothem of a polygon / height of a parallelogram
base of a parallelogram / height of a trapezoid
base of a triangle / height of a triangle
center of a regular polygon / radius of a regular polygon
central angle of a regular polygon / sector of a circle
Choose from the terms above to complete each sentence.
11.The height of a parallelogram and the ______are always perpendicular.
12.In terms of geometric shapes, a slice of pizza closely resembles a ______.
13.A line drawn from the center of a regular polygon perpendicular to a side of the polygon is called a(n) ______.
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EoC Review

Name:______Period:_____Date:______

Directions: Use any notes, peers, etc. to answer EACH QUESTION CORRECTLY.

base / legs / rhombus
base angle / midsegment of a trapezoid / square
diagonal / parallelogram / trapezoid
isosceles trapezoid / rectangle
Choose from the terms above to complete each sentence.
14.A quadrilateral that is both a rectangle and a rhombus is a(n) ______.
15.A quadrilateral with only one pair of opposite sides parallel is a(n) ______.
16.A quadrilateral with only one pair of opposite sides parallel and the other pair of opposite sides congruent is a(n) ______.
17.A quadrilateral with four congruent sides is a(n) ______.
18.A quadrilateral with two pairs of opposite sides parallel is a(n) ______.
algebraic proof / converse / inductive reasoning / related conditionals
axiom / counterexample / informal proof / statement
compound statement / deductive argument / inverse / theorem
conclusion / deductive argument / logically equivalent / truth table
conditional statement / disjunction / negation / truth value
conjecture / formal proof / paragraph proof / truth value
conjunction / hypothesis / postulate
contrapositive / if-then statement / proof
Choose from the terms above to complete each sentence.
19.The statement immediately following the word then is called the ______of an if-then statement.
20.The statement immediately following the word if is called the ______of an if-then statement.
21.A(n) ______is an educated guess based on known information.
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EoC Review

Name:______Period:_____Date:______

Directions: Use any notes, peers, etc. to answer EACH QUESTION CORRECTLY.

altitude / isometric view / regular pyramid right cone
axis / lateral area / right cylinder
base edges / lateral edge / right prism
composite solid / lateral face / similar solids
congruent solid / non-Euclidean geometry / slant height
cross section / oblique cone / spherical geometry
Euclidean geometry / oblique cylinder / topographical map
great circle / oblique prism
Choose from the terms above to complete each sentence.
22.______is the measure of the amount of space that a figure encloses.
23.If the axis of a cylindrical is also the altitude, then the cylinder is called a(n) ______.
24.______have the same shape but not the same size.
25.The height of each lateral face of a regular pyramid is called a(n) ______.
angle of rotation / line of reflection / plane symmetry
center of rotation / line of symmetry / rotational symmetry
composition of transformation / line symmetry / symmetry
glide reflection / magnitude of symmetry / translation vector
order of symmetry
Choose from the terms above to complete each sentence.
26.A transformation representing a flip of a figure is called a(n) ______.
27.A(n) ______is a transformation that turns every point of a preimage through a specified angle and direction about a fixed point.
28.A(n) ______is the composition of a translation followed by a reflection in a line parallel to the translation vector.
29.A figure in the plane has ______if the figure can be mapped onto itself by a reflection in a line.
acute triangle / coordinate proof / flow proof / remote interior angles
auxiliary line / corollary / included angle / right triangle
base angles / corresponding parts / included side / rotation
congruence transformation / equiangular triangle / isosceles triangle / scalene triangle
congruent triangles / equilateral triangle / obtuse triangle / translation
exterior angle / reflection / vertex angle
Choose from the terms above to complete each sentence.
30.A triangle that has one 90° angle is called a(n) ______.
31.The ______is formed by the congruent legs of an isosceles triangle.
32.A(n) ______organizes a series of statements in logical order, starting with the given statements.
33.The ASA postulate involves two corresponding angles and their corresponding ______.
34.A(n) ______uses figures in the coordinate plane and algebra to prove geometric concepts.
cross products / midsegment of a triangle / scale drawing
dilation / proportion / scale factor
enlargement / ratio / scale model
extremes / reduction / similar polygons
means / scale / similarity transformation
Choose from the terms above to complete each sentence.
35.The product of the ______in the equation is 90.
36.The product of the ______in the equation is 24x.
37.In , P lies on and Q lies on . If , is called a(n) ______.
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EoC Review

Name:______Period:_____Date:______

Directions: Use any notes, peers, etc. to answer EACH QUESTION CORRECTLY.

angle of depression / inverse sine / sine
angle of elevation / inverse tangent / standard position
component form / Law of Cosines / tangent
cosine / Law of Sines / trigonometric ratio
direction / magnitude / trigonometry
geometric mean / Pythagorean Triple / vector
inverse cosine / resultant
Choose from the terms above to complete each sentence.
38.In a right triangle, the ______of an angle can be found by dividing the length of the opposite leg by the length of the adjacent leg.
39.In a right triangle, the ______of an angle can be found by dividing the length of the opposite leg by the length of the triangle’s hypotenuse.
40.An angle between the line of sight and the horizontal when an observer looks downward is called a(n) ______.
41.The word ______is derived from the Greek terms for triangle and measure.
alternate exterior angles / equidistant / skew lines
alternate interior angles / parallel lines / slope
consecutive interior angles / parallel planes / slope-intercept form
corresponding angles / point-slope form / transversal
rate of change
Choose from the above terms to complete each sentence.
42.The equation is in ______form.
43.If two ______are cut by a transversal, then each pair of alternate interior angles is congruent.
44.Write the converse of the statement If two angles are supplementary and congruent, then they are right angles.
If ______then they are ______.
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EoC Review

Name:______Period:_____Date:______

Directions: Use any notes, peers, etc. to answer EACH QUESTION CORRECTLY.

Complete the coordinate proof by supplying the missing information for each corresponding location.
Given: with A(–1, 1), B(5, 1), and C(2, 6).
Prove: is isosceles.
45.By the Distance Formula the lengths of the three sides are as follows: ______.
46.Since ______, is isosceles.
Subjective Short Answer
Given the following information, determine which lines, if any, are parallel. State the postulate or theorem that justifies your answer.

47.
48.How many lines of symmetry does this figure have?

Write true or false.
49.If the diagonals of a parallelogram are perpendicular, then the parallelogram is a rectangle.
50.List the sides of FGH in order from shortest to longest.

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EoC Review

Name:______Period:_____Date:______

Directions: Use any notes, peers, etc. to answer EACH QUESTION CORRECTLY.

Refer to the graph. Find the slope of each line.

51.k
52.The figure shows with sides lengths as indicated. What is the value of x?
53.Find x to the nearest degree.

54.The area of a rhombus is 49 square millimeters. If one diagonal is twice as long as the other, what are the lengths of the diagonals?
55.Find the distance between S(5, –7) and T(13, –9). Then find the coordinates of the midpoint of .
56.BonusD(0, 6) is rotated 30 about the origin. Find the coordinates of its image.
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EoC Review

Name:______Period:_____Date:______

Directions: Use any notes, peers, etc. to answer EACH QUESTION CORRECTLY.

57.The height of a triangle is one-fourth the length of its base. If the area of the triangle is 34.445 square meters, find the length of its base and height.
58.Write the statement An elephant is a mammal in if-then form.
59.Find the area of the kite.

60.Find the lateral area of a regular pentagonal prism if the perimeter of the base is 50 inches and the height is 15 inches.
Define each term in your own words.
61.collinear
62.OMIT
Define each term in your own words.
63.center of rotation
64.Guy wires 80 feet long support a 65-foot tall telephone pole. To the nearest degree, what angle will the wires make with the ground?
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EoC Review

Name:______Period:_____Date:______

Directions: Use any notes, peers, etc. to answer EACH QUESTION CORRECTLY.

65.Points G and H are midpoints of and in regular hexagon ABCDEF. If AB = 6, find GH.


66.If is an altitude for RST, find the value x.
67.joins point C in isosceles right ABC to the midpoint P, of . Name the coordinates of P. Then determine the relationship between and .

68.Determine the order and magnitude of the rotational symmetry of a regular decagon.
(HINT: When a shape is rotated about its center, if it comes to rest in a position and looks exactly like the original, then it has rotational symmetry. rotational symmetry order. This means that a regular hexagon has 6 sides, 6 lines of symmetry and an order of rotational symmetry of 6.)
69.Bonus Find the value of x.

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EoC Review

Name:______Period:_____Date:______

Directions: Use any notes, peers, etc. to answer EACH QUESTION CORRECTLY.

70.Graph ABC with vertices A(4, 4), B(3, –2), and C(–1, –1). Then graph the image of ABC reflected in the y-axis.

71.Find the area of the rhombus if XY = 8 feet and XA = 5 feet.

72.Find cosM.
Use the coordinate grid to answer the following questions.

73.Find the coordinates of the midpoint of .
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EoC Review

Name:______Period:_____Date:______

Directions: Use any notes, peers, etc. to answer EACH QUESTION CORRECTLY.

74.Bonus Find CE.
Determine the slope of the line that contains the given points.
75.V(–2, –0.25), U(4, –2.5)
76.Find .
77.Name three quadrilaterals that have both rotational and line symmetry.
Use the figure below to answer the following questions. Find the measure of each angle.

78.m1
Find the area of each figure. Round to the nearest tenth if necessary.
79.
Use the polygons to answer the following questions.

80.Name polygon RSTUV by its sides. Then classify it as convex or concave and regular or not regular.
81.Bonus Find the area of the shaded region to the nearest tenth. Assume that the hexagon is regular.

82.Write the converse of the statement, If two lines are perpendicular to the same line, then they are parallel.
83.Triangle DEF with D(7, –12), E(2, 10), and F(–11, –8) is translated so that .
Find the coordinates of and .
84.Find the measure of each exterior angle of a regular 100-gon.
85.Find the area of a regular hexagon with an apothem length of 4.3 centimeters. Round to the nearest tenth.
86.Write an inequality to compare m1 and m2.

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EoC Review

Name:______Period:_____Date:______

Directions: Use any notes, peers, etc. to answer EACH QUESTION CORRECTLY.

87.Find the next term in the sequence 1, 4, 9, 16, 25, . . ..
88.Find the value of x in kite EFGH.

Name the definition, property, postulate, or theorem that justifies each statement.
89.If x = 2, then 2 = x.
Determine the slope of the line that contains the given points.
90.B(–2, 7), N(8, –8) 91.E(–5, 6), Z(4, –3)
92.Find x.
93.Name the theorem that can be used to state that , , and given B is the midpoint of , D the midpoint of , and E the midpoint of .

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EoC Review

Name:______Period:_____Date:______

Directions: Use any notes, peers, etc. to answer EACH QUESTION CORRECTLY.

94.Bonus Find x.

95.If quadrilateral ABCDquadrilateral PQRS, find BC.

96.What is the order and magnitude of rotational symmetry of a square?
97.A biker will jump over a ramp, where x and z are measured in feet. Write an inequality relating x and z.

98.LAWN Leila has to buy grass seed for her lawn. Her lawn is in the composite figure shown. What is the area of the lawn? Round to the nearest tenth.

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EoC Review

Name:______Period:_____Date:______

Directions: Use any notes, peers, etc. to answer EACH QUESTION CORRECTLY.

99.is an altitude of . Find the value of y.

100.Find the value of x. Round to the nearest tenth.
101.Use the Law of Detachment to write a valid conclusion for statements (1) and (2).
(1) All fish can swim.
(2) Charlie is a fish.
Use the figure below to answer the following questions.

102.Find m2.
103.Bonus The length of each side of a cube is 8 inches long. Find the surface area of a sphere inscribed in the cube. Round to the nearest tenth.
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EoC Review

Name:______Period:_____Date:______

Directions: Use any notes, peers, etc. to answer EACH QUESTION CORRECTLY.

Refer to the figure. Given a || b m7 = 94°,find the measure of the following angles.

104.m9
Name the definition, property, postulate, or theorem that justifies each statement.
105.If PQ = RS, then PQ + AB = RS + AB.
106.In the figure, bisects and . Determine which theorem or postulate can be used to prove that .

.
Use the polygons to answer the following questions.

107.Name polygon ABCDEF by its sides. Then classify it as convex or concave and regular or not regular.
108.How many lines of symmetry does this figure have?

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EoC Review

Name:______Period:_____Date:______

Directions: Use any notes, peers, etc. to answer EACH QUESTION CORRECTLY.

109.If , find the perimeter of .

110.The area of a circle is 63.6 square feet. To the nearest tenth, what is the length of the diameter?
State the definition, property, postulate, or theorem that justifies each statement.
111.If and , then .
Find x and y.
112.
113.Bonus Find EG.

114.Identify the line(s) of symmetry in the figure. Use the figure
115.The circle with center F is divided into sectors. In circle F, is a diameter. The radius of circle F is 3 units.
Find the arc length of the following:
/ Arc / Arc length
116.If and centimeters, find QM.
117.Find the coordinates of the intersection of the diagonals of parallelogram XYZW with vertices:
X(3, 0), Y(3, 8), Z(–2, 6), and W(–2, –2).
118.Write an inequality to describe the possible values of x.
119.In right triangle ABC, Let sinB = r and cosB = s. What is sinC – cosC?

120.The measures of the sides of a triangle are 48, 55, and 73. Use the Pythagorean Theorem to classify the triangle as acute, obtuse, or right.
121.Find the area of the trapezoid.

Refer to the figure.

122.Name the transversal that forms 3 and 6. Then identify the special name for the angle pair.
123.Name the coordinates of S(–7, 1) under a reflection in the y-axis.
In the figure, and are opposite rays and bisects .
124.Find the value of x so that .
125.Line l contains points (1, –3) and (0, 4). Point H has coordinates (–1, 3). Find the distance from H to l.
Determine the slope of the line that passes through the given points.
126.G(–6, 14), L(–3, 9)
127.Find x.
128.Determine whether the quadrilateral with vertices A(5, 7), B(1, –2), C(–6, –3), and D(2, 5) is a parallelogram.
Use the slope formula.
129.Write the coordinates of the image of P(–2, 5) reflected in the line y = 2.
130.Bonus If and.
Find the values of x and y.
131.What transformation is represented, reflection, translation, or rotation?

132. Find the measure of each angle in the figure.

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EoC Review

Name:______Period:_____Date:______

Directions: Use any notes, peers, etc. to answer EACH QUESTION CORRECTLY.

133. Complete the proof below by supplying the missing information for each corresponding location.
Given: / AD = CB and ACDB /
Prove: / mADCmDCB
Proof:
Statements / Reasons
1.AD = CB and ACDB / 1. Given
2. / 2. (______)
3. / 3. (______)
4.mADCmDCB / 4.(______)
134.Name two properties that are preserved by a reflection.
135.If AB = 10 and = 5, is the dilation an enlargement, reduction, or congruence transformation?
136.Graph PQR with vertices at P(3, 4), Q(5, –1), and R(–3, 0). Then graph the image of PQR reflected in the x-axis.

137.Find x.
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EoC Review

Name:______Period:_____Date:______

Directions: Use any notes, peers, etc. to answer EACH QUESTION CORRECTLY.

138.Write the statement All chickens have two wings in if–then form.
139.Find the distance between A(–2, 1) and B(4, –3).
140.The figure shows inscribed in circle D. If , find
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