Isosceles Triangles Answers

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Triangle ABC is isosceles.

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A
11
B
23
C
40
D
60
2
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Triangle KNM is isosceles, where angle N is the vertex.

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A
11º
B
25º
C
50º
D
65º
3

Triangle SQT is isosceles. The measure of angle STQ is 48°.

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A
24°
B
38°
C
48°
D
76°
4

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°
5

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

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A
12 cm
B
36 cm
C
48 cm
D
72 cm
6

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

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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.
7

Triangle ABC is shown below.

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A
7
B
9
C
14
D
18
8

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

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A
AB ≠ AC
B
∠B ≅ ∠C
C
ABC is not a triangle
D
∠A ≅ ∠B ≅ ∠C
9

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
10

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.Angle Y is a right angle.The measure of angle Z is 45°.The measure of angle X is 36°.The measure of the vertex angle is 72°.The perpendicular bisector of creates two smaller isosceles triangles.

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

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