Congruent Triangles

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

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 be said about their corresponding angles?

Back

Their corresponding angles are equal.

Tags

CCSS.8.G.A.2

Front

If two triangles are congruent, what can be said about their corresponding sides?

Back

Their corresponding sides are equal in length.

Tags

CCSS.8.G.A.2

Front

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

Back

If two angles of one triangle are equal to two angles 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

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

Back

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

Tags

CCSS.HSG.SRT.B.5

Front

What is the purpose of the Hypotenuse-Leg (HL) theorem?

Back

It is used to prove the congruence of right triangles by showing that the hypotenuse and one leg are equal.

Tags

CCSS.HSG.SRT.B.5

Front

How do you denote the congruence of triangles?

Back

You denote the congruence of triangles by writing the triangle names with the corresponding vertices in the same order, e.g., ∆ABC ≅ ∆DEF.

Tags

CCSS.8.G.A.2

Front

What is an acute triangle?

Back

A triangle where all three angles are less than 90 degrees.

Tags

CCSS.4.G.A.2