Easy Triangle Congruence Theorems

What does congruence mean?

• Two figures have the same size and shape

• Two figures have the same color

• Two figures have the same orientation

• Two figures have the same area

Which theorem states that if two triangles have three pairs of corresponding sides that are congruent, then the triangles are congruent?

• Side-Angle-Side

• Angle-Side-Angle

• Side-Side-Side

• Angle-Angle-Side

Which theorem states that if two triangles have a pair of corresponding congruent sides, a pair of corresponding congruent angles, and another pair of corresponding congruent sides, then the triangles are congruent?

• Angle-Side-Angle

• Side-Side-Side

• Angle-Angle-Side

• Side-Angle-Side

Which theorem applies to right triangles only?

• Side-Side-Side

• Angle-Side-Angle

• Hypotenuse-Leg

• Angle-Angle-Side

In the Angle-Angle-Side theorem, how are the congruent angles positioned?

• They are consecutive

• They are opposite

• They are adjacent

• They are random

Why does the Angle-Side-Side theorem not work as a triangle congruence theorem?

• The angles are not congruent

• The sides are not congruent

• The second congruent side can be in different positions

• The theorem is not applicable to triangles

Which theorem states that if two triangles have a pair of corresponding congruent angles, a pair of corresponding congruent sides, and another pair of corresponding congruent angles, then the triangles are congruent?

• Side-Side-Side

• Angle-Side-Angle

• Angle-Angle-Side

• Side-Angle-Side

What is the key feature of any right triangle?

• A right angle

• A congruent side

• A congruent angle

• A hypotenuse

How many triangle congruence theorems are there?

• 3

• 4

• 5

• 6

What is the hypotenuse of a right triangle?

• The longest side

• The shortest side

• The side opposite the right angle

• The side adjacent to the right angle