Congruent Triangles & Corresponding Parts

Front

What are congruent triangles?

Back

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

Tags

CCSS.8.G.A.2

Front

If ∆ABC ≅ ∆XYZ, what can we conclude about their corresponding sides?

Back

AB ≅ XY, BC ≅ YZ, AC ≅ XZ.

Tags

CCSS.8.G.A.2

Front

What does the symbol '≅' represent in geometry?

Back

It represents that two figures are congruent.

Tags

CCSS.8.G.A.2

Front

If two triangles are congruent, what can we say about their corresponding angles?

Back

Their corresponding angles are also equal.

Tags

CCSS.8.G.A.2

Front

What is the Side-Side-Side (SSS) Congruence Postulate?

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 is the Angle-Side-Angle (ASA) Congruence Postulate?

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 is the Side-Angle-Side (SAS) Congruence Postulate?

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 is the Angle-Angle (AA) Similarity Postulate?

Back

If two angles of one triangle are equal to two angles of another triangle, then the triangles are similar (not necessarily congruent).

Tags

CCSS.HSG.SRT.B.5

Front

If ∆LMK ≅ ∆LMT, what can we say about ∠K and ∠T?

Back

∠K ≅ ∠T.

Tags

CCSS.HSG.CO.B.7

Front

How do you find the length of a segment in congruent triangles?

Back

Use the corresponding sides that are equal due to the congruence of the triangles.

Tags

CCSS.8.G.A.2