VOCABULARY
acute angle
acute triangle
altitude
angle addition postulate
angle bisector
base of triangle
centroid
circumcenter
collinear
complementary
conditional statement
congruent
contrapositive
converse
coplanar
diameter
equiangualar
equilateral triangle
equidistant
hypotenuse
incenter
intersection
inverse
isosceles triangle
linear pair
median
midpoint
midsegment
obtuse angle
obtuse triangle
orthocenter
parallel
perpendicular
perpendicular bisector
Pythagorean Theorem
radius CONSTRUCTIONS
right angle Segment/Angle bisector
right triangle Copy segment/angle
scalene triangle Parallel/Perpendicular Lines
secant
segment addition postulate
skew lines
supplementary
transversal
vertex angle
vertical angles
30-60-90 Triangle Rules
45-45-90 Triangle Rules
AAS, ASA, SAS, SSS, HL –Congruent Triangles
Points of concurrency
MIDTERM REVIEW GEOMETRY L1
Name: ______Period: ______
10. The product of the slopes of two lines is -1. The lines are ______.
a) skewb) the same linec) paralleld) perpendiculare)congruent
11)
12) Draw and label acuteUPB.
13) Find the length between the following points. (-4, 3) and (2, -1)
14) Find the midpointfor the following points. (-4, 3) and (2, -1)
15) Is ME the same as EM? Why?
16)
17) ∠1 and ∠2 are a linear pair. ∠1 and ∠3 are vertical angles. m∠2 = 67°
Draw the diagram. Find the measures of ∠1 and ∠4.
18) Write the conditional (if – then), contrapositive, inverse and converse for the following statement:
Every triangle has 3 sides.
19)Provide a counterexample for the converse: A 40º angle is acute.
20)Which of the following statements is/are false?
a) Through any two points there is exactly one line.
b) Perpendicular lines form only one right angle.
c) Three noncollinear points determine a plane.
d) A plane contains at least three collinear points.
e) A line contains at least two points.
21. The midpoint of is the point M(4,7). If the coordinates of R are (-2,-5), what are the coordinates of S?
20. If two complementary angles have degree measures of and , what is the value of ?
21.
24.
25. Write the equation of a line that goes through the point (2,-3) and is parallel to .
26. Write the equation of a line that goes through the point (5,1) and is perpendicular to
27.
28. Classify a triangle with sides 5, 12, and 13.
a)obtuseb) acutec) rightd) not a triangle
29. Classify a triangle with sides of 17, 25, and 37.
a)obtuse b) acutec) rightd) not a triangle
30. Classify a triangle with sides of , , .
a)Obtuseb) acutec) rightd) not a triangle
31. A triangle has sides with measure of 3, 7, and . What are the possible values of x?
32.
33.
34.
35.
36.
37.
38. AB
Choose the correct way to represent each from the list above:
a. The distance between A and Bb.
c. The segment ABd.
e. The line ABf. The length of segment AB
39. A 30-60-90 triangle has a hypotenuse of length 32. What is the area of this right triangle?
40. In the diagram, . Find the length of .
41. In the diagram, . What is the value of ?
42. In the diagram, and . Find the value of .
43. Solve for
44.
Simplify:
45. 46. 47.
46) Name the property.
a)b)
c)d)
47) Complete the statement using the given property.
a) transitive property: mABC = 45°, mXYZ = 45° ∴ .
b) symmetric property: GH = 7 ∴ .
c) addition property: AB = YZ, CD = WX, ∴ AB + CD = .
d) division property: if 5x = 15, then .
e) substitution property: if AB = 2 and YZ = AB + 3, then YZ = .
48) Draw a diagram, make all appropriate marks, then write the most important conclusion that you can make based on the given information. (Use definitions, postulates and properties.)
a)∠1 and ∠2 are vertical angles. b) AB ⊥ CDc) A is the midpoint of CT
d) TX bisects ∠MTVe) ∠3 and ∠4 are adjacent and supplementary.
49) Identify the angle bisector, altitude, median, perpendicular bisector
50. For the following can you prove the triangles are congruent? If yes by what postulate can you prove this? If no explain why not.
51. Write a two column proof for the following:
Given: Altitude bisects
Prove:
52. Given:
bisects
Prove: