AnswersAZ-Geometry A MA201Isosceles Triangles

Lesson 3: Trigonometric Ratios Answers

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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
2
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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
3

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

Question illustration
A
AB ≠ AC
B
∠B ≅ ∠C
C
ABC is not a triangle
D
∠A ≅ ∠B ≅ ∠C
4

Triangle ABC is shown below.

Question illustration
A
7
B
9
C
14
D
18
5

Triangle ABC is isosceles.

Question illustration
A
11
B
23
C
40
D
60
6

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.
7

Triangle ABC is isosceles.

Question illustration
A
It is twice the measure of angle A.
B
It is twice the measure of angle C.
C
It is equal to the measure of angle A.
D
It is equal to the measure of angle C.
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

is a perpendicular bisector of .

Question illustration
A
It will be a right triangle.
B
It will be an acute triangle.
C
It will be an equilateral triangle.
D
It will be an isosceles triangle.
10

Triangle KNM is isosceles, where angle N is the vertex.

Question illustration
A
11º
B
25º
C
50º
D
65º
11

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.
12

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

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