GEOMETRY CHAPTER 4 Review
Multiple Choice
Identify the choice that best completes the statement or answers the question.
1. Classify the given triangle by its sides.
d.
a.
b.
c.
d.
Isosceles
Equilateral
Scalene
Acute
2. In each pair of triangles, parts are congruent as
marked. Which pair of triangles is congruent by
ASA?
a.
3. If
, which of the following can you
NOT conclude as being true?
a.
b.
c.
d.
4. Can you use the ASA Postulate, the AAS Theorem,
or both to prove the triangles congruent?
|
)
|
)
b.
a.
b.
c.
d.
c.
either ASA or AAS
ASA only
AAS only
neither
5. Name the theorem or postulate that lets you
immediately conclude
A
B
C
(
(
D
a. ASA
b. AAS
c. SAS
6. If
d. none of these
and
, what angles would be congruent using the third angle theorem?
a.
b.
c.
d.
Short Answer
7. What is the value of x in the following triangle?
|
E
D
|
94°
F
Drawing not to scale
8. Find the value of x. The diagram is not to scale.
11. Two sides of an equilateral triangle have lengths
and
. What is the value of x?
|
|
S
(4 x – 30)°
12. 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?
(6 x )°
R
T
U
38°
9. Based on the given information, can you conclude
that
? Explain.
Given:
,
21
21
, and
10. Use the information in the figure. Find
Drawing not to scale
14. Given
and
, find the length of QS and TV.
13.
15. The two triangles are congruent as suggested by their appearance. Find the value of d. The diagrams are not to
scale.
d°
63°
g
17
b
f°
e°
27°
8
16.
15
c
. List the six pairs of congruent
corresponding parts.(Meaning which sides and
angles are congruent?)
Q
S
18. Use the information given in the diagram. Tell why
.
A
P
R
B
T
17. Find the values of x and y.
D
C
19. If BCDE is congruent to OPQR, then
congruent to
20. Name the angle included by the sides
N
M
P
is
and
GEOMETRY CHAPTER 4 Review
Answer Section
MULTIPLE CHOICE
1.
2.
3.
4.
5.
6.
A
A
B
A
A
B
SHORT ANSWER
7. 12
8. x = 25
9. Answers may vary. Sample: Two pairs of sides are congruent, but the angle is not included. There is no SSA
Congruence Theorem, so you cannot conclude
with the information given.
10. 43°
11. 4
12. 71°
13.
14. 41
15. 63
16. Sides:
,
Angles:
,
17. x = 15, y = 90
18. Reflexive Property
19.
20.
,
,