Triangle Congruency

Front

What is Triangle Congruency?

Back

Triangle congruency refers to the condition where two triangles are considered congruent if they have the same size and shape, meaning their corresponding sides and angles are equal.

Tags

CCSS.8.G.A.2

Front

What does the SSS postulate state?

Back

The SSS (Side-Side-Side) postulate states that if three sides of one triangle are equal to three sides of another triangle, then the two triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What does the SAS postulate state?

Back

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

Tags

CCSS.HSG.SRT.B.5

Front

What does the ASA postulate state?

Back

The ASA (Angle-Side-Angle) postulate states that if two angles and the included side of one triangle are equal to two angles and the included side of another triangle, then the two triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What does the AAS postulate state?

Back

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

Tags

CCSS.HSG.SRT.B.5

Front

What is the HL theorem?

Back

The HL (Hypotenuse-Leg) 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.

Tags

CCSS.HSG.SRT.B.5

Front

What is the significance of congruency statements?

Back

Congruency statements indicate that two triangles are congruent and provide a way to compare corresponding parts (sides and angles) of the triangles.

Tags

CCSS.HSG.CO.B.7

Front

If ∆ABC≅∆XYZ, what can we conclude about the sides AB and XY?

Back

AB≅XY, meaning side AB of triangle ABC is congruent to side XY of triangle XYZ.

Tags

CCSS.HSG.CO.B.7

Front

What is the definition of corresponding angles in congruent triangles?

Back

Corresponding angles are angles that are in the same relative position in two different triangles that are congruent.

Tags

CCSS.8.G.A.2

Front

What is the definition of corresponding sides in congruent triangles?

Back

Corresponding sides are sides that are in the same relative position in two different triangles that are congruent.

Tags

CCSS.8.G.A.2