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Name:
Isosceles Triangle Theorem
A
B
C
D
1
The accompanying diagram shows the roof of a house that is in the shape of an isosceles triangle. The vertex angle formed at the peak of the roof is 84°.
What is the measure of
x
?
a)
138°
c)
84°
b)
96°
d)
48°
A
B
C
D
2
Tina wants to sew a piece of fabric into a scarf in the shape of an isosceles triangle, as shown in the accompanying diagram.
What are the values of
x
and
y
?
a)
c)
b)
d)
A
B
C
D
3
In isosceles triangle
DOG
, the measure of the vertex angle is three times the measure of one of the base angles. Which statement about
is true?
a)
is a scalene triangle.
c)
is a right triangle.
b)
is an acute triangle.
d)
is a obtuse triangle.