Triangle Inequality Theorem & Congruent Triangles FLASHCARD

Front

What is the Triangle Inequality Theorem?

Back

The Triangle Inequality Theorem states that for any triangle, the sum of the lengths of any two sides must be greater than the length of the third side.

Front

Which of the following does not represent the lengths of the sides of a triangle? 2 cm, 6 cm, 7 cm; 5 cm, 2 cm, 5 cm; 5 cm, 5 cm, 8 cm; 3 cm, 10 cm, 15 cm

Back

3 cm, 10 cm, 15 cm does not satisfy the Triangle Inequality Theorem.

Front

List the side measures in order, shortest to longest: QM, QP, MP, MQ, MP, QP, MP, MQ, QP

Back

MQ, MP, QP.

Front

What does congruence mean in triangles?

Back

Congruence in triangles means that two triangles are identical in shape and size, having corresponding sides and angles that are equal.

Front

If ∆LMK ≅ ∆LMT, then what can be said about the angles?

Back

If ∆LMK ≅ ∆LMT, then ∠K ≅ ∠T.

Front

List the angles in order by measure, smallest to largest: ∠B, ∠A, ∠C, ∠A, ∠B, ∠C, ∠C, ∠B

Back

∠A, ∠C, ∠B.

Front

What is the definition of congruent triangles?

Back

Congruent triangles are triangles that have the same size and shape, meaning their corresponding sides and angles are equal.

Front

What is the relationship between the sides of a triangle?

Back

The lengths of any two sides of a triangle must be greater than the length of the third side.

Front

If two angles of a triangle are equal, what can be said about the sides opposite those angles?

Back

The sides opposite the equal angles are also equal in length.

Front

What is the sum of the interior angles of a triangle?

Back

The sum of the interior angles of a triangle is always 180 degrees.