Day 9 Homework Triangle Congruence Theorems

Front

What is the AAS Triangle Congruence Theorem?

Back

The AAS (Angle-Angle-Side) Triangle Congruence Theorem states that if two angles and the non-included side of one triangle are congruent to two angles and the corresponding non-included side of another triangle, then the two triangles are congruent.

Front

What is the SAS Triangle Congruence Theorem?

Back

The SAS (Side-Angle-Side) Triangle Congruence Theorem states that if two sides and the included angle of one triangle are congruent to two sides and the corresponding included angle of another triangle, then the two triangles are congruent.

Front

What does it mean for triangles to be congruent?

Back

Triangles are congruent if they have the same size and shape, meaning all corresponding sides and angles are equal.

Front

What is the significance of corresponding angles in triangle congruence?

Back

Corresponding angles are crucial in triangle congruence as they help establish the equality of triangles through theorems like AAS and ASA.

Front

How do you determine the length of a side in a congruent triangle?

Back

In congruent triangles, corresponding sides are equal in length. Therefore, if you know the length of one side in one triangle, you can find the length of the corresponding side in the other triangle.

Front

What is the relationship between angles in congruent triangles?

Back

In congruent triangles, corresponding angles are equal. This means if two triangles are congruent, each angle in one triangle has a corresponding angle in the other triangle that is equal.

Front

What additional information is needed to prove triangle congruence using SAS?

Back

To prove triangle congruence using SAS, you need to know two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle.

Front

What is the value of x if two angles are supplementary and one angle is 80°?

Back

If two angles are supplementary, they add up to 180°. Therefore, if one angle is 80°, the other angle (x) is 100°.

Front

How do you solve for x in a triangle when given two angles?

Back

To solve for x in a triangle when given two angles, use the fact that the sum of angles in a triangle is 180°. Subtract the sum of the known angles from 180° to find x.

Front

What is the formula for finding the length of a side in similar triangles?

Back