Additional Resources
4
Assessment Book
CHAPTER TEST
Classify the triangle by its sides and by its angles.
1.
Chapter Test, Levels A, B, C
• Standardized Chapter Test
• SAT/ACT Chapter Test
• Alternative Assessment
equilateral, acute
(or equiangular)
•
2.
scalene, right 3.
isosceles, obtuse
In Exercises 4–6, find the value of x.
Test Generator
4.
Chapter Test
308
Easily-readable reduced copies (with answers) of Chapter
Test B, the Standardized
Chapter Test, and the
Alternative Assessment from
the Assessment Book can be
found on pp. 214G–214H.
70
808
30
5.
2x8
x8
6.
E
Find the values of x and y. 5, 15
X
758
F
608
10
D
508
558
x8
7. In the diagram, DEFG > WXFG.
75
x8
G
(15x 1 y)8
3x 2 5
W
In Exercises 8–10, decide whether the triangles can be proven congruent by
the given postulate.
11. Statements (Reasons)
8. n ABC > n EDC by SAS
1. n ABC is isosceles with base }
AC,
}
BD bisects ∠ B. (Given)
2. }
AB > }
BC (Definition of
isosceles triangle)
3. ∠ ABD > ∠ CBD (Definition of
angle bisector)
4. }
BD > }
BD (Reflexive Property of
Segment Congruence)
5. n ABD > n CBD (SAS)
9. n FGH > n JKL by ASA
B proven
A
G
10. n MNP > n PQM by SSS
L proven
J
N
P
C
D
F
E
H
proven
B
11. Write a proof. See margin.
GIVEN
PROVE
P
M
K
AC, }
BD bisects  B.
c n ABC is isosceles with base }
c n ABD > n CBD
A
D
C
12. What is the third congruence needed to prove that
n PQR > n STU using the indicated theorem?
a. HL }
QP > }
TS or b. AAS  P >  S or  R >  U
P
Q
U
R
T
}
QR > }
TU
S
Decide whether the transformation is a translation, reflection, or rotation.
13.
14.
y
1
1
1
x
reflection
286
y
1
x
reflection
1
x
translation
Chapter 4 Congruent Triangles
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286
15.
y
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