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, the angles opposite the congruent sides are:
Complementary
Supplementary
Congruent
Right angles
2. An equilateral triangle has:
Two congruent sides
All sides of different lengths
All sides congruent
No congruent angles
3. If a triangle has two congruent sides, it is called an triangle.
4. The sum of the interior angles of any triangle is always degrees.
5. In an equilateral triangle, each interior angle measures degrees.
6. Consider triangle ABC where AB = AC. If angle B = 50 degrees, what is the measure of angle A? Explain your reasoning.
7. If all angles in a triangle are congruent, what type of triangle is it? Justify your answer.
8. An isosceles triangle can also be an equilateral triangle.
True
False
9. The base angles of an isosceles triangle are always acute.
True
False
10. In triangle PQR, PQ = QR = RP. If the perimeter of triangle PQR is 45 cm, what is the length of each side? What type of triangle is PQR? What is the measure of each angle in triangle PQR?
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