Congruent Triangles and Triangle Sum Theorem Flashcard

Front

What does the congruency statement ΔABC≅ΔLMN imply about the sides and angles of the triangles?

Back

It implies that corresponding sides and angles of the triangles are equal: AB ≅ LM, BC ≅ MN, CA ≅ NL and ∠A ≅ ∠L, ∠B ≅ ∠M, ∠C ≅ ∠N.

Front

What is the Triangle Sum Theorem?

Back

The Triangle Sum Theorem states that the sum of the interior angles of a triangle is always 180°.

Front

If one angle of a triangle measures 50° and another measures 60°, what is the measure of the third angle?

Back

70° (180° - 50° - 60° = 70°).

Front

What is the relationship between corresponding angles in congruent triangles?

Back

Corresponding angles in congruent triangles are equal.

Front

If ΔWXY≅ΔGIY, what is the corresponding side to WY?

Back

GI.

Front

What does it mean for two triangles to be congruent?

Back

It means that they have the same size and shape, with corresponding sides and angles being equal.

Front

How can you determine if two triangles are congruent using side lengths?

Back

If all three pairs of corresponding sides are equal, the triangles are congruent (Side-Side-Side Postulate).

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.

Front

If two angles of a triangle are 40° and 100°, what is the measure of the third angle?

Back

40° (180° - 40° - 100° = 40°).

Front

What is the definition of corresponding sides in congruent triangles?

Back

Corresponding sides are the sides that are in the same position in two different triangles.