Congruent Triangles

Front

What are congruent triangles?

Back

Triangles that have the same size and shape, meaning their corresponding sides and angles are equal.

Front

What does AAS stand for in triangle congruence?

Back

Angle-Angle-Side; a method to prove triangles are congruent by showing two angles and the included side are equal.

Front

What does SAS stand for in triangle congruence?

Back

Side-Angle-Side; a method to prove triangles are congruent by showing two sides and the included angle are equal.

Front

What does SSS stand for in triangle congruence?

Back

Side-Side-Side; a method to prove triangles are congruent by showing all three sides are equal.

Front

What does HL stand for in triangle congruence?

Back

Hypotenuse-Leg; a method to prove right triangles are congruent by showing the hypotenuse and one leg are equal.

Front

What is the significance of the included angle in SAS?

Back

The included angle is the angle formed between the two sides being compared, which is crucial for establishing congruence.

Front

How can you prove two triangles are congruent using AAS?

Back

By showing that two angles are equal and the side opposite one of those angles is also equal.

Front

What additional information is needed to prove triangles are congruent by SSS?

Back

All three corresponding sides must be shown to be equal.

Front

What is the relationship between corresponding angles in congruent triangles?

Back

In congruent triangles, corresponding angles are equal.

Front

What is the relationship between corresponding sides in congruent triangles?

Back

In congruent triangles, corresponding sides are equal in length.