Congruency in Isosceles and Equilateral Triangles
Explore the properties of isosceles and equilateral triangles, focusing on angle and side congruency.
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Congruency in Isosceles and Equilateral Triangles
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Read each question carefully and answer to the best of your ability. Show all your work for full credit.
1. In an isosceles triangle, which of the following statements is always true?
All three sides are congruent.
All three angles are congruent.
At least two sides are congruent.
No sides are congruent.
2. Consider an isosceles triangle ABC where side AB is congruent to side AC. If the measure of angle B is 70 degrees, what is the measure of angle C?
3. An equilateral triangle has all three sides and all three angles .
4. Every equilateral triangle is also an isosceles triangle.
True
False
5. A triangle has angles measuring 60°, 60°, and 60°. What type of triangle is it? Explain your reasoning.
Match the description to the correct triangle type.
1. Has at least two congruent sides.
a. Equilateral Triangle
2. Has all three congruent sides.
b. Isosceles Triangle
3. Has all three 60-degree angles.
c. Scalene Triangle
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