Definitions, Properties, and Creating Congruence

Front

What does it mean for two triangles to be congruent?

Back

Two triangles are congruent if they have the same size and shape, meaning all corresponding sides and angles are equal.

Tags

CCSS.8.G.A.2

Front

What is the definition of a bisector in geometry?

Back

A bisector is a line, ray, or segment that divides an angle or a segment into two equal parts.

Tags

CCSS.HSG.CO.A.1

Front

If HK bisects GJ, what can be concluded about GH and GK?

Back

GH ≅ GK, meaning the two segments are equal in length.

Front

What is the corresponding angle in congruent triangles?

Back

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

Tags

CCSS.8.G.A.2

Front

If ΔPQR ≅ ΔLJK, what can be said about the sides PR and JL?

Back

PR ≅ JL, meaning the lengths of these sides are equal.

Tags

CCSS.HSG.CO.B.7

Front

What is the Angle-Angle (AA) criterion for triangle congruence?

Back

If two angles of one triangle are congruent to two angles of another triangle, the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What is the Side-Side-Side (SSS) criterion for triangle congruence?

Back

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

Tags

CCSS.HSG.SRT.B.5

Front

What is the Side-Angle-Side (SAS) criterion for triangle congruence?

Back

If two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

If ∆LMK ≅ ∆LMT, what can be said about ∠K and ∠T?

Back

∠K ≅ ∠T, meaning these angles are equal.

Tags

CCSS.HSG.CO.B.7

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 congruent triangles.

Tags

CCSS.8.G.A.2