Congruency in Isosceles and Equilateral Triangles
This worksheet focuses on properties of isosceles and equilateral triangles, including angle and side congruency, and applying these concepts to solve problems.
Includes
Standards
Topics
Congruency in Isosceles and Equilateral Triangles
Name:
Date:
Score:
Read each question carefully and answer to the best of your ability. Show all your work for full credit.
1. In an isosceles triangle, if the measure of the vertex angle is 50 degrees, what is the measure of each base angle?
50 degrees
65 degrees
90 degrees
130 degrees
2. Which of the following statements is true for an equilateral triangle?
Only two sides are congruent.
All angles are different measures.
All sides are congruent.
The sum of angles is 90 degrees.
3. In an isosceles triangle, the angles opposite the congruent sides are .
4. An equilateral triangle is also an triangle.
5. Consider an isosceles triangle ABC where AB = AC. If the measure of angle B is 70 degrees, what are the measures of angle A and angle C?
6. An equilateral triangle has a perimeter of 45 cm. What is the length of each side?
7. All equilateral triangles are isosceles triangles.
True
False
8. An isosceles triangle can have three congruent sides.
True
False