AnswersAZ-Geometry A MA201Isosceles Triangles

Isosceles Triangles Answers

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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
2
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Triangle SQT is isosceles. The measure of angle STQ is 48°.

Question illustration
A
24°
B
38°
C
48°
D
76°
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.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
4

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.
5

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
6

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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