Practice Page
Directions: Grab a paper and pencil to make your computations.

1.
ΔABC is isosceles where AC = CB.
AC = 6a - 8 and CB = 4a - 2
Find AC.


Choose:
2
6
10
12
isprac1

 

 

2.
ΔBUG is isosceles.
m∠B = x + 10
m∠U = 3x
Find m∠U.
isprac2
 
Choose:
32º
42º
96º
128º

 

 

3.
The vertex angle of an isosceles triangle measures 20 degrees more than twice the measure of one of its base angles. How many degrees are there in a base angle of this triangle?
Choose:
20
40
42 100
isprac3

 

 

4.
ΔDEG and ΔEGF are isosceles.
m∠EDG = 64º
Find m∠GEF.

Choose:
32º
52º
64º
116º
isprac4

 

 

5.
m∠MET = m∠EMT
ET
= 2x + 10
EM = x + 10
MT = 3x - 10
Find MT.

Choose:
20
30
40
50
isprac5

 

 

6.
In ΔDEG, isosprac7math. An altitude is drawn from point E to isos7pracmath and intersects the side at H. Which of the following conclusions is NOT always true?

Choose:

ip1
ip2
isos7c
isos7d

 

 

7.
ΔGAB is isosceles. The exterior angle at point B measures 138º.
Find m∠A.

Choose:
42º
84º
96º
126º
isosprac7

 

 

8.
ΔCAB and ΔCTB are isosceles.
m∠CTB = 87º and m∠CAB = 65º.
Find m∠ACT.


Choose:
46.5º
57.5º
104º
115º
isoprac8

 

 

9.
ΔABC is isosceles with AB = BC. Which of the following statements is always true?
Choose:
m∠C < m∠B
m∠B = m∠A
m∠A > m∠B m∠A = m∠C
 

 

 

10.
TG = TR; m∠S = 2x - 10;
m∠STG = x + 10
m∠SGT = 6x
a) Find m∠S.
Choose:
20º
25º
30º
35º
isos6
 

b)
Find m∠TGR.
Choose:
30º
60º
75º
120º
 

Let GT =3y + 6 and TR = 5y - 8.
c)Find TR.
Choose:
7
9
21
27
 

d)
Find SR.
Choose:
14
27
54
60

 


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