Front

In triangle ABC, angle A measures 45 degrees and side AB is 8 cm long. If triangle DEF is congruent to triangle ABC, and DE corresponds to AB, what is the length of DE?

Back

The length of DE is 8 cm.

Front

Which pairs of triangles can be proven congruent using the ASA Congruence Theorem?

Back

Triangles with two pairs of congruent angles and a pair of congruent sides between them.

Front

In an isosceles triangle XYZ, the base angles each measure 72 degrees. Calculate the measure of the vertex angle.

Back

36

Front

Given that angle P is congruent to angle Q, and side PR is congruent to side QS, what additional information is needed to prove triangle PQR congruent to triangle QPS using the SAS Congruence Theorem?

Back

Side QR is congruent to side PS

Front

In a straightedge and compass construction, two circles intersect at points A and B. If O1 is the center of one circle and O2 is the center of the other, why is O1A congruent to O1B?

Back

Because O1A and O1B are radii of the same circle.

Front

In triangle ABC, angle B measures 55 degrees and side BC is 10 cm long. If triangle DEF is congruent to triangle ABC by the ASA Congruence Theorem, and EF corresponds to BC, what is the length of EF?

Back

The length of EF is 10 cm.

Front

Two angles of a triangle measure 40° and 60°. Without calculating, explain how you know the measure of the third angle.

Back

The sum of angles in a triangle is always 180°.

Front

Which pairs of triangles can be proven congruent using the SAS Congruence Theorem?

Back

Triangles with two sides and the included angle congruent

Front

Are triangles ABC and DEF congruent according to the SAS Congruence Theorem? Triangle ABC: AB = 7 cm, BC = 9 cm, angle B = 30°. Triangle DEF: DE = 7 cm, EF = 9 cm, angle E = 30°.

Back

Yes, the triangles are congruent.

Front

Two angles of a parallelogram measure 65° each. What are the measures of the other two angles?

Back

115° each