Congruent Figures

Front

What are congruent figures?

Back

Congruent figures are shapes that are identical in form and size. They can be superimposed on each other, meaning all corresponding sides and angles are equal.

Tags

CCSS.8.G.A.2

Front

If ΔABC ≅ ΔDEF, what can we conclude about the corresponding angles?

Back

If ΔABC ≅ ΔDEF, then ∠A ≅ ∠D, ∠B ≅ ∠E, and ∠C ≅ ∠F.

Tags

CCSS.HSG.CO.B.7

Front

What is the symbol for congruence?

Back

The symbol for congruence is '≅'.

Tags

CCSS.8.G.A.2

Front

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

Back

If two triangles are congruent, then their corresponding sides are equal in length.

Tags

CCSS.8.G.A.2

Front

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

Back

The SSS Congruence Postulate states that 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 SAS (Side-Angle-Side) Congruence Postulate?

Back

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

Back

The ASA Congruence 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 is the AAS (Angle-Angle-Side) Congruence Theorem?

Back

The AAS Congruence Theorem 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

If ΔXYZ ≅ ΔCAB, what can we conclude about the sides XY and CA?

Back

If ΔXYZ ≅ ΔCAB, then XY ≅ CA.

Tags

CCSS.HSG.CO.B.7

Front

What does it mean if two figures are similar but not congruent?

Back

If two figures are similar but not congruent, they have the same shape but not the same size; their corresponding angles are equal, but their corresponding sides are in proportion.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6