Congruence in Overlapping Triangles

Front

What is congruence in triangles?

Back

Congruence in triangles means that two triangles are identical in shape and size, having corresponding sides and angles that are equal.

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, a criterion for triangle congruence where two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle.

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a criterion for triangle congruence where two angles and a non-included side of one triangle are equal to two angles and the corresponding non-included side of another triangle.

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a criterion for triangle congruence where all three sides of one triangle are equal to the three sides of another triangle.

Front

What is the HL Theorem?

Back

The HL Theorem states that if the hypotenuse and one leg of a right triangle are equal to the hypotenuse and one leg of another right triangle, then the two triangles are congruent.

Front

Identify a common side in overlapping triangles BDC and CED.

Back

The common side is CB.

Front

Identify a common side in congruent triangles with sides XY and XZ.

Back

The common side is XY.

Front

How can you prove that triangle MNK is congruent to triangle KLM?

Back

You can use SAS or ASA, but not HL Theorem.

Front

What is a common angle in overlapping triangles?

Back

A common angle can be Angle MJK.

Front

What is the significance of overlapping triangles in congruence?

Back

Overlapping triangles help in visualizing and proving congruence by showing shared sides and angles.