Congruency in Isosceles and Equilateral Triangles

Congruency in Isosceles and Equilateral Triangles

Read each question carefully and answer to the best of your ability. Show all your work where necessary.

1. If a triangle has two congruent sides, what type of triangle is it?

2. What is the measure of each angle in an equilateral triangle?

1. In an isosceles triangle, the angles opposite the congruent sides are  .

2. An equilateral triangle is a special case of an   triangle where all three sides are congruent.

3. The sum of the interior angles of any triangle is always   degrees.

1. Consider an isosceles triangle ABC where AB = AC. If angle B is 70 degrees, what is the measure of angle A? Explain your reasoning.

2. If a triangle has all three angles measuring 60 degrees, what can you conclude about its sides?

1. All equilateral triangles are also isosceles triangles.

2. An isosceles triangle can have one angle greater than 90 degrees.

Match the triangle description with its property.