Congruent Triangles

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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.

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What is the ASA congruence criterion?

Back

The ASA (Angle-Side-Angle) criterion 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.

Front

What is the SSS congruence criterion?

Back

The SSS (Side-Side-Side) criterion states that if all three sides of one triangle are equal to all three sides of another triangle, then the triangles are congruent.

Front

What is the AAS congruence criterion?

Back

The AAS (Angle-Angle-Side) criterion 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.

Front

What is the HL congruence criterion?

Back

The HL (Hypotenuse-Leg) criterion applies to right triangles; it states that if the hypotenuse and one leg of one right triangle are equal to the hypotenuse and one leg of another right triangle, then the triangles are congruent.

Front

What does it mean for two triangles to be similar?

Back

Two triangles are similar if they have the same shape but not necessarily the same size, meaning their corresponding angles are equal and their corresponding sides are in proportion.

Front

What is the AA similarity criterion?

Back

The AA (Angle-Angle) criterion states that if two angles of one triangle are equal to two angles of another triangle, then the triangles are similar.

Front

What is the SSS similarity criterion?

Back

The SSS (Side-Side-Side) similarity criterion states that if the sides of one triangle are in proportion to the sides of another triangle, then the triangles are similar.

Front

What is the SAS similarity criterion?

Back

The SAS (Side-Angle-Side) similarity criterion states that if two sides of one triangle are in proportion to two sides of another triangle and the included angles are equal, then the triangles are similar.

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