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
Name:
Date:
Score:
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?
Scalene
Isosceles
Equilateral
Right
2. What is the measure of each angle in an equilateral triangle?
30 degrees
45 degrees
60 degrees
90 degrees
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.
True
False
2. An isosceles triangle can have one angle greater than 90 degrees.
True
False
Match the triangle description with its property.
1. Isosceles Triangle
a. All sides are congruent
2. Equilateral Triangle
b. Two sides are congruent
3. Base Angles
c. Angles opposite congruent sides
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