Practice Problems 4.2

DG4PSA_894_04.qxd
11/1/06
1:24 PM
Page 25
Lesson 4.2 • Properties of Isosceles Triangles
Name
Period
Date
In Exercises 1–3, find the angle measures.
1. mT ______
2. mG ______
T
3. x ______
A
x
110⬚
R
58⬚
I
G
N
In Exercises 4–6, find the measures.
4. mA ______, perimeter
of ABC ______
A
5. The perimeter of LMO
6. The perimeter of QRS is
is 536 m. LM ______,
mM ______
344 cm. mQ ______ ,
QR ______
M
y⫹
13 cm
a ⫹ 7 cm
68⬚
y
Q
210 m
102⬚ B
R
m
31 c
S
39⬚
a
x ⫹ 30⬚
L
163 m
x
O
C
7. a. Name the angle(s) congruent to DAB.
C
B
b. Name the angle(s) congruent to ADB.
D
A
and BC
? Why?
c. What can you conclude about AD
8. x _____, y _____
4y
9. PR QR and QS RS.
If mRSQ 120°, what is
mQPR?
10. Use the diagram to explain
why PQR is isosceles.
Q
Q
70⬚
T
R
2x ⫹ y
79⬚ ⫺ x
P
R
S
55⬚
P
S
Discovering Geometry Practice Your Skills
©2008 Key Curriculum Press
CHAPTER 4
25