Congruent Triangles

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 is the symbol for congruence?

Back

The symbol for congruence is '≅'.

Tags

CCSS.8.G.A.2

Front

If \( \Delta ABC \cong \Delta DEF \), what can be said about their corresponding sides?

Back

The corresponding sides are equal: \( AB = DE, BC = EF, CA = FD \).

Tags

CCSS.8.G.A.2

Front

If two angles are congruent, what does that mean?

Back

It means they have the same measure.

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-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

What is the Hypotenuse-Leg (HL) theorem?

Back

In right triangles, if the hypotenuse and one leg of one triangle are equal to the hypotenuse and one leg of another triangle, the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

If \( \Delta BIG \cong \Delta LAD \), which side corresponds to \( \overline{BG} \)?

Back

The side \( \overline{LD} \) corresponds to \( \overline{BG} \).

Tags

CCSS.HSG.CO.B.7

Front

What does it mean for angles to be corresponding in congruent triangles?

Back

Corresponding angles are the angles in the same relative position in two different triangles.

Tags

CCSS.8.G.A.2