Congruency in Isosceles and Equilateral Triangles
Explore the properties of isosceles and equilateral triangles, focusing on side and angle 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. Which statement is true for an isosceles triangle?
All sides are congruent.
All angles are 60 degrees.
At least two sides are congruent.
No sides are congruent.
2. If an equilateral triangle has one side length of 5 cm, what are the lengths of the other two sides?
5 cm and 6 cm
5 cm and 5 cm
4 cm and 5 cm
Any lengths
3. In an isosceles triangle, the angles opposite the congruent sides are .
4. An equilateral triangle has congruent sides and congruent angles.
5. Draw an isosceles triangle and label its congruent sides and angles.
6. Draw an equilateral triangle and indicate the measure of each angle.
7. All isosceles triangles are also equilateral triangles.
True
False
8. An equilateral triangle is a type of isosceles triangle.
True
False
Match each definition to the correct triangle type.
9. A triangle with at least two congruent sides.
a. Equilateral Triangle
10. A triangle with all three sides congruent.
b. Isosceles Triangle