Geometry Semester Test Review
CHAPTER 1
1.2 Points Lines and Planes
Use the figure to answer the following questions
1) Name two intersecting lines
2) Name the intersection of planes QRBA and TSRQ
3) Name three noncollinear points
1.3 Measuring Segments
4) Find the value of m
1.4 Measuring Angles
Classification of angles (right, acute, obtuse, straight)
Use the diagram to answer the following questions
5) mMQR  61 and mMQP  25 , find mPQR
1.5 Exploring Angles Pairs
Name a pair of each of the following
6)
7)
8)
9)
Complementary angles
Supplementary angles
Vertical angles
Linear pair
Find the value of x
10) x=
11) x=
1.7 Midpoint and Distance
12) Find the Distance between the points to the nearest tenth A(1,5), B(0, 4)
13) Find the Midpoint between the points to the nearest tenth A(3, 2), B(3, 2)
1.8 Perimeter, Circumference, and Area
Find the perimeter of each figure
14) Perimeter =
CHAPTER 2:
2.1 Patterns and Inductive Reasoning
Find a pattern for the sequence. Describe the pattern, and show the next two terms
15) 1000, 100, 10, …
Find a counterexample to show the conjecture is false
16) The product of any integer and 2 is greater than 2.
2.2 Conditional Statements
Write each sentence as a conditional
17) All motorcyclists wear helmets
Write the converse, inverse, and contrapositive of the given conditional statement. Then determine the
truth value
18) If you play the tuba, then you play an instrument.
2.3 Biconditionals and Definitions
Determine whether each statement is a good definition
19) A newspaper has articles you read.
2.4 Deductive reasoning
Use the Law of Detachment of Lay of Syllogism to make a conclusion
20) If you practice tennis every day, then you will become a better player. Collin practices tennis
every day.
21) If you father buys gardening gloves, then he will work in his garden. If he works in his garden,
then he will plant tomatoes
2.6 Proving Angles Congruent
22) Find the value of 7
23) Find mAEC
24) Find mAEB
CHAPTER 3: Lines and Angles
3.1 Classify the angle pair formed by <1 and <2
25) Classification
26) Classification
3.2 Properties of Parallel Lines
Find m1 and m2 . Justify your answer.
27) .
28) .
3.3 Proving Lines Parallel
Use the given information to decide which lines, if any are parallel. Justify.
29) 1  9
30) m3  m6  180
3.4 Parallel and Perpendicular Lines
Know what Parallel and Perpendicular mean
3.5 Parallel Lines and Triangles
Find the values of the variables
31) x=
y=
3.7 Equations of Lines in the Coordinate Plane
32) Find the slope passing through (6, 2), (1,3)
33) Write an equation of the line with slope 
1
and y-intercept 12
2
3.8 Slopes of Parallel and Perpendicular Lines
34) Write an equation of the line parallel to y  8 x  1 that contains ( 6, 2)
35) Write an equation of the line perpendicular to y 
1
x  4 that contains (3, 3)
6
CHAPTER 4 Congruent Figures
WXTZ  PQRS Find each measure or length.
36) mP
37) QR
4.2/4.3 Triangle Congruence by SSS, SAS, ASA, AAS
Which postulate or theorem, if any, could you use to prove the two triangles congruent? If there is not
enough information to prove the triangle congruent, write not enough information
38) .
39) .
40) .
41) .
4.4 Using Corresponding Parts of Congruent Triangles
How can you use congruent triangles to prove the statement true?
42) TV  YW
43) BE  DE
4.5 Find the Values of x and y
44) x=
y=
45) x=
y=
4.6 Congruence in Right Triangles
46) Given: LN  KM , KL  ML
Prove: KLN  MLN
4.7 Congruence in Overlapping Triangles
Name a pair of overlapping congruent triangles. State whether the triangles are congruent by SSS, SAS,
ASA, AAS, or HL
47) .
CHAPTER 5
5.1 Midsegments of Triangles
48) Find the value of x
5.2 Perpendicular and Angle Bisectors
49) Find y, ST, and TU
5.3 Bisectors in Triangles
50) Fid the coordinates of the circumcenter
5.4 Medians and Altitudes
51) Determine whether AB is a median, altitude, or neither. EXPLAIN
52) Determine whether AB is a median, altitude, or neither. EXPLAIN
53) Name the centroid
54) Name the orthocenter
5.5 Indirect Proof
55) Which two statements contradict each other:
5.6/5.7 Inequalities in Triangles
56) List all of the angles in order from smallest to greatest
57) List the sides of the triangle in order from shortest to longest
58) Can a triangle have sides with the given lengths? Explain!
2 in, 3 in, 6in
59) Find the range of possible lengths for the third side. 8 ft., 12 ft.
60) Write an inequality relating the side lengths. If there is not enough information to reach a
conclusion, write no conclusion.