Geometry
Chapter 4 Test Review
Section 1: Congruent Figures –
B. RSTUV  KLMNO, complete each
of the following statements.
a. VR  _____
Name_______________________________
Period___Date_______________________
P. Write a congruence statement for
the following pair of triangles.
b. VUTSR  _____
Δ______  Δ______
A. Find the measures of each angle in pentagon SPACE, if SPACE  DTRWB.
Section 2: Triangle Congruence –
State the postulate or theorem you would use to prove each pair of triangles congruent. If the triangles
cannot be proved congruent, write not possible.
a.
b.
c.
d.
e.
Section 3: Using Congruent Triangles –
Complete the following two-column proof.
Given: BD AC, D is the midpoint of AC
Prove: BC  BA
Statements:
1. BD AC
2. <ADB and <CDB are right angles
3. <ADB  <CDB
4. ΔADB and ΔCDB are right triangles
5. DB  DB
6. D is the midpoint of AC
7. AD  CD
8. ΔADB  ΔCDB
9. BC  BA
Reasons:
1.
2.
3.
4.
5.
6.
7.
8.
9.
Reasons to choose from:
Given, Given, Reflexive, Definition of Perpendicular, Definition of Midpoint, SAS,
Right Angles are Congruent, CPCTC, Definition of Right Triangles
Section 4: Congruent Triangles and Systems of Equations –
B. Explain how you can use SSS, SAS, ASA or AAS with CPCTC to prove the statement true.
TV  YW
P. Solve the system.
y = 2x – 8
5x + 7y = 1
A. Solve the system.
y = 2x – 4
3 – 3y = –6x
Section 5: Isosceles and Equilateral Triangles –
B. Find the value of x and y.
P. Find the value of m and n.
A. Find the value of the variables.
Section 6: Congruence in Right Triangles and Using Congruent Corresponding Parts–
B. Separate and redraw the indicated triangles.
P. Name a pair of overlapping congruent triangles
Identify any common angles or sides.
in the diagram below. State whether the triangles
ΔTRQ and ΔPQR
are congruent by SSS, SAS, ASA, AAS or HL.
Given: MP = QL, LP LM, LP PQ
A. For what values of x and y are the triangles congruent by HL?
Section 7: Chapter 1 – 3 Review –
Each multiple choice question is worth two points. Circle the correct letter.
1. Which line is perpendicular to y = 2x – 8?
A. y = -2x + 7
B. y = 2x – 4
C. y 
1
x4
2
D. y  
1
1
x
2
2
2. Classify the triangle at the right by its sides.
A. Isosceles
B. Scalene
C. Right
3. Classify <3 and <4 in the figure at the right.
A. alternate interior angles
C. same-side interior angles
B. alternate exterior angles
D. corresponding angles
D. Equilateral
4. What is the length of AB with endpoints A(5, -1) and B(2, 3)?
A. 5
B. 7
C. 9
D. 25
C. 80
D. 160
HINT: Use the distance formula!!
5. What is the perimeter of LMNO?
A. 28
B. 56
6. Find the coordinates of the midpoint of AB when A(4, 3) and B(-2, 6).
A. (2, -3)
B. (1, 4.5)
C. (1, 1.5)
D. (3, -1.5)
7. What is the classification of a triangle with one angle greater than 90°?
A. scalene
B. acute
C. right
D. obtuse
8. What is the next number in the sequence 128, 64, 32, 16, 8, …?
A. 2
B. 10
C. 15
D. 4
9. Which is an intersection of two distinct lines?
A. point
B. line
C. plane
D. ray
10. An isosceles triangle has two angles measuring 55 and 70. What is the measure of the third angle?
A. 70
B. 55
C. 15
D. 125
11. If the measure of an angle is 32, what is the measure of its complement?
A. 48
B. 148
C. 58
D. 90
12. What is the circumference of a circle with a radius of 4in?
A. 16 in
B. 8 in
C. 4 in
D. 2 in
13. Write an equation of a line with the slope of –4 that passes through the point (3, -5).
A. y = –4x + 7
B. y = –4x – 5
C. y = –4x + 3
D. y = –4x – 2
14. Find the slope of the line passing through the points (5, -2) and (-6, 8).
A. 
10
11
B.
10
11
C. 
11
10
D.
11
10