Congruent Triangle practice (all theorems)

Front

What is the definition of a midpoint?

Back

A point that divides a segment into two equal parts.

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.

Front

What is the SSS Congruence Theorem?

Back

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

Front

What is the SAS Congruence Theorem?

Back

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.

Front

What is the ASA Congruence Theorem?

Back

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 AAS Congruence Theorem?

Back

If two angles and a non-included side of one triangle are equal to two angles and a non-included side of another triangle, then the triangles are congruent.

Front

What is the HL Congruence 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, then the triangles are congruent.

Front

Which theorem is NOT a triangle congruence theorem?

Back

AAA (Angle-Angle-Angle) is not a congruence theorem because it does not guarantee equal side lengths.

Front

What is the reflexive property in geometry?

Back

A property stating that any geometric figure is congruent to itself.

Front

What is the substitution property in geometry?

Back

If two quantities are equal, one can be substituted for the other in any expression.