Isosceles Triangles

Question 1

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

Revolt · Accepted Answer

converse of the isosceles triangle theorem

Question 2

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

Revolt · Accepted Answer

70°

Question 3

Triangle ABC is isosceles.

Revolt · Accepted Answer

It is equal to the measure of angle C.

Question 4

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

Revolt · Accepted Answer

45º

Question 5

In triangle FGH, is an angle bisector of and perpendicular to .

Revolt · Accepted Answer

16

Question 6

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 7

GJ bisects ∠FGH and is a perpendicular bisector of FH.

Revolt · Accepted Answer

It has exactly 3 congruent sides.

Question 8

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

Revolt · Accepted Answer

At least two of the angles are congruent.

Question 9

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

Revolt · Accepted Answer

36 cm

Question 10

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

Revolt · Accepted Answer

It is an isosceles right triangle.

Isosceles Triangles Answers

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