Home / Worksheets / Grade 12 / Math / Congruency in Isosceles and Equilateral Triangles

Congruency in Isosceles and Equilateral Triangles

Explore the properties of isosceles and equilateral triangles, focusing on angle and side congruency.

Grade 12 Math GeometryCongruency in Isosceles and Equilateral Triangles
Use This Worksheet

Includes

Multiple ChoiceFill in the BlanksShort AnswerTrue / FalseLong Answer

Standards

CCSS.MATH.CONTENT.HSG.CO.C.10CCSS.MATH.CONTENT.HSG.SRT.B.5

Topics

GeometryCongruencyIsosceles TriangleEquilateral TriangleGrade 12
7 sections · Free to use · Printable
← More Math worksheets for Grade 12

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, the angles opposite the congruent sides are:

a

Complementary

b

Supplementary

c

Congruent

d

Right angles

2. An equilateral triangle has:

a

Two congruent sides

b

All sides of different lengths

c

All sides congruent

d

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.

ABC

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.

T

True

F

False

9. The base angles of an isosceles triangle are always acute.

T

True

F

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?

PQR