Congruent Triangles Practice

Front

What are congruent triangles?

Back

Triangles that 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

If three sides of one triangle are equal to three sides of another triangle, then the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What does the SAS postulate state?

Back

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

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

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 is the HL theorem?

Back

The 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 triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

How can you determine if two triangles are congruent?

Back

By using congruence postulates or theorems such as SSS, SAS, ASA, AAS, or HL.

Tags

CCSS.HSG.SRT.B.5

Front

What is the difference between congruent and similar triangles?

Back

Congruent triangles are identical in size and shape, while similar triangles have the same shape but may differ in size.

Tags

CCSS.8.G.A.2

Front

If two triangles have two pairs of equal angles, what can be concluded?

Back

The triangles are similar by the AA (Angle-Angle) similarity criterion.

Tags

CCSS.HSG.SRT.A.2

Front

What is the importance of the included angle in the SAS postulate?

Back

The included angle is the angle between the two sides being compared; it is crucial for establishing congruence.

Tags

CCSS.HSG.SRT.B.5