Geometry Unit 3 Flashcard ( Lessons 1-7)

Front

What is the SAS Congruence Theorem?

Back

The SAS (Side-Angle-Side) Congruence Theorem states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent.

Front

What additional information is needed to prove triangle PQR congruent to triangle QPS using the SAS Congruence Theorem if angle P is congruent to angle Q and side PR is congruent to side QS?

Back

Side QR is congruent to side PS.

Front

In a parallelogram, if two angles measure 65° each, what are the measures of the other two angles?

Back

115° each.

Front

Are triangles ABC and DEF congruent if AB = 7 cm, BC = 9 cm, and angle B = 30°, and DE = 7 cm, EF = 9 cm, and angle E = 30°?

Back

Yes, the triangles are congruent according to the SAS Congruence Theorem.

Front

If triangle ABC is congruent to triangle DEF and side AB is 8 cm long, what is the length of side DE?

Back

The length of DE is 8 cm.

Front

What does the acronym SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, which is a triangle congruence theorem stating that if three sides of one triangle are congruent to three sides of another triangle, then the triangles are congruent.

Front

What does the acronym ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, which is a triangle congruence theorem stating that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent.

Front

What does the acronym AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, which is a triangle congruence theorem stating that if two angles and a non-included side of one triangle are congruent to two angles and the corresponding non-included side of another triangle, then the triangles are congruent.

Front

What is the relationship between the angles in a parallelogram?

Back

In a parallelogram, opposite angles are congruent, and consecutive angles are supplementary (add up to 180°).

Front

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

Back

The angles opposite the congruent sides are also congruent.