a
Geometry: Chapter 4 Test
Multiple Choice
Identify the choice that best completes the statement or answers the question.
____
1. Name the Property of Congruence that justifies the statement:
If
.
a. Symmetric Property
c. Reflexive Property
b. Transitive Property
d. none of these
____
2. Name the Property of Congruence that justifies the statement.
If
.
a. Transitive Property
c. Reflexive Property
b. Symmetric Property
d. none of these
____
3. Which two lines are parallel?
I.
II.
III.
a. I and II
b. I and III
c. II and III
d. No, two of the lines are parallel.
____
4. Write an equation for the line perpendicular to y = 2x – 5 that contains (–9, 6).
a. y – 6 = 2(x + 9)
c.
1
y – 9 =  (x + 6)
2
b. x – 6 = 2(y + 9)
d.
1
y – 6 =  (x + 9)
2
____
5. If
a.
____
6. Name the angle included by the sides
, which of the following can you NOT conclude as being true?
b.
c.
d.
N
and
M
P
a.
b.
c.
d. none of these
____
7. From the information in the diagram, can you prove
a. yes, by ASA
b. yes, by AAA
____
c. yes, by SAS
d. no
8. For which situation could you prove
a. I only
b. II only
using the HL Theorem?
c. III only
d. II and III
9. Is there enough information to conclude that the two triangles are congruent? If so, what is a correct
congruence statement?
A
|
|
____
? Explain.
B
a.
b.
c.
d.
C
D
Yes;
.
Yes;
.
Yes;
.
No, the triangles cannot be proven congruent.
10. Find the distance between points P(8, 2) and Q(3, 8).
11. M(9, 8) is the midpoint of
The coordinates of S are (10, 10). What are the coordinates of R?
12. Find the coordinates of the midpoint of the segment whose endpoints are H(8, 2) and K(6, 10).
13. Find the value of the variable. The diagram is not to scale.
114°
x°
47°
14. If BCDE is congruent to OPQR, then
15.
is congruent to
16. The two triangles are congruent as suggested by their appearance. Find the value of the variable b, c, d, e f,
and g. The diagrams are not to scale.
d°
38°
g
5
b
f°
e°
4
52°
3
c
17.
Given
and
18.
Find the values of x and y.
, find the length of QS and TV.
(
(
A
|
|
y°
x°
B
47°
D
C
Drawing not to scale
19. What is the measure of a base angle of an isosceles triangle if the vertex angle measures 38° and the two
congruent sides each measure 21 units?
38°
21
21
Drawing not to scale
20. Find the value of x. The diagram is not to scale.
|
|
S
(3 x – 50)°
(7 x )°
R
T
U
Statements
Reasons
Statements
Reasons
21. Write a two-column proof.
Given: BEand AD bisect eachother
Prove:
B
D
C
A
E
22.
Write a two-column proof:
Given: BA // DE ; C is the midpoint of AD
Prove: BC  CE
B
D
C
A
E
23.
Complete the proof
Given:
Prove:
Statements
,
C
D
B
E
A
Reasons