Isosceles Triangles Answers

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Triangle ABC is an isosceles right triangle. What is the measure of one base angle?

A
30º
B
45º
C
60º
D
90º
2
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What is true about QRT? Select two options.

Question illustration
A
QRT = 90°
Option A
B
QRT = SRT
Option B
C
QRT STQ
Option C
D
QRT = 2*RTQ
Option D
E
QRT RTQ
Option E
3

Triangle XYZ is isosceles. The measure of the vertex angle, Y, is twice the measure of a base angle.What is true about triangle XYZ? Select three options.

Question illustration
A
Angle Y is a right angle.
B
The measure of angle Z is 45°.
C
The measure of angle X is 36°.
D
The measure of the vertex angle is 72°.
E
The perpendicular bisector of creates two smaller isosceles triangles.
Option E
4

Triangle ABC is shown below.

Question illustration
A
7
B
9
C
14
D
18
5

Angle M has a measure of 47°.

Question illustration
A
43°
B
47°
C
86°
D
94°
6

Consider the diagram and proof by contradiction.Given: △ABC with ∠B ≅ ∠CProve: AB ≅ AC

Question illustration
A
converse of the isosceles triangle theorem
B
substitution
C
definition of congruency
D
converse of the triangle parts relationship theorem
7

What is always true about the angles of an isosceles triangle?

A
All three angles are congruent.
B
At least two of the angles are congruent.
C
The vertex angle is a right angle.
D
The vertex angle is obtuse.
8

Isosceles triangle ABC has a perimeter of 96 centimeters. The base of the triangle is and measures 24 centimeters.What is the measure of ?

Question illustration
A
12 cm
B
36 cm
C
48 cm
D
72 cm
9

The vertex angle of an isosceles triangle measures 40°. What is the measure of a base angle?

A
40°
B
70°
C
100°
D
140°
10

Right triangle ABC is isosceles and point M is the midpoint of the hypotenuse.

Question illustration
A
It is congruent to triangle ABC.
B
It is an obtuse triangle.
C
It is an isosceles right triangle.
D
It is a scalene triangle.

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Isosceles Triangles Answers — GCSS_GA-Geometry…