Congruent Triangles

Front

What is the definition of congruent triangles?

Back

Congruent triangles are triangles that are identical in shape and size, meaning their corresponding sides and angles are equal.

Tags

CCSS.8.G.A.2

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 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 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 triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What does the SSS postulate state?

Back

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

Tags

CCSS.HSG.SRT.B.5

Front

What is the HL postulate?

Back

The HL (Hypotenuse-Leg) postulate states that in right triangles, if the hypotenuse and one leg of one triangle are equal to the hypotenuse and one leg of another triangle, then the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

If two triangles have one pair of equal sides and the included angle is not equal, are the triangles congruent?

Back

No, the triangles are not congruent.

Tags

CCSS.8.G.A.2

Front

If triangle ABC is congruent to triangle DEF, what can be said about their corresponding parts?

Back

The corresponding sides and angles of triangle ABC and triangle DEF are equal.

Tags

CCSS.HSG.CO.B.7

Front

How can you prove that two triangles are not congruent?

Back

If any corresponding sides or angles are not equal, the triangles cannot be congruent.

Tags

CCSS.8.G.A.2

Front

What is the significance of congruent triangles in geometry?

Back

Congruent triangles are used to establish properties of shapes, solve problems involving measurements, and prove theorems.

Tags

CCSS.8.G.A.2