4.6 Solving with Congruent Triangles

Front

What are corresponding angles?

Back

Corresponding angles are pairs of angles that are in the same position on different parallel lines cut by a transversal.

Front

If △BAC ≅ △QPR, what can we say about the lengths of corresponding sides?

Back

The lengths of corresponding sides are equal.

Front

Given △ABC ≅ △MNO, if AC = 34 and AB = 14 - x, what is the relationship between AB and MO?

Back

AB = MO, so 14 - x = 3x - 2.

Front

What is the measure of angle C if it is congruent to angle F?

Back

If angle C is 40°, then angle F is also 40°.

Front

What is the definition of congruent triangles?

Back

Congruent triangles are triangles that are identical in shape and size, meaning all corresponding sides and angles are equal.

Front

If two angles are congruent, what can we say about their measures?

Back

If two angles are congruent, their measures are equal.

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°.

Front

If angle A = 50° and angle B = 60°, what is angle C in triangle ABC?

Back

Angle C = 180° - (50° + 60°) = 70°.

Front

What is the relationship between the sides of congruent triangles?

Back

The corresponding sides of congruent triangles are equal in length.

Front

If BC = 15 in triangle ABC and it is congruent to triangle QPR, what is the length of side RQ?

Back

RQ = 15.