Triangle Congruence: SSS and SAS Methods

What are the two new postulates introduced in Chapter 4?

• Angle-Side-Angle and Side-Angle-Side

• Side-Side-Side and Angle-Side-Angle

• Side-Side-Side and Side-Angle-Side

• Side-Side-Side and Angle-Angle-Side

How can you name the angle formed by Ray AB and Ray AC?

• Angle BAC, Angle ABC, or Angle B

• Angle BAC, Angle CAB, or Angle B

• Angle BAC, Angle ABC, or Angle A

• Angle BAC, Angle CAB, or Angle A

Which of the following is NOT a side of triangle ABC?

• Segment AD

• Segment AC

• Segment BC

• Segment AB

Which angle is congruent to angle L in congruent triangles QRS and LMN?

• Angle R

• Angle M

• Angle Q

• Angle S

What does the Side-Side-Side (SSS) postulate state?

• If two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the triangles are congruent.

• If three sides of one triangle are congruent to three sides of another triangle, then the triangles are congruent.

• If three angles of one triangle are congruent to three angles of another triangle, then the triangles are congruent.

• 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.

In the example problem, which property is used to prove that segment BC is congruent to itself?

• Symmetric Property

• Substitution Property

• Reflexive Property

• Transitive Property

What is an included angle?

• An angle formed by two adjacent sides of a polygon

• An angle formed by two non-adjacent sides of a polygon

• An angle formed by two opposite sides of a polygon

• An angle formed by two parallel sides of a polygon

What does the Side-Angle-Side (SAS) postulate state?

• If three angles of one triangle are congruent to three angles of another triangle, then the triangles are congruent.

• If three sides of one triangle are congruent to three sides of another triangle, then the triangles are congruent.

• If two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the triangles are congruent.

• 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.

In the example problem, which angle is congruent to angle XYZ?

• Angle VWZ

• Angle WZX

• Angle VZW

• Angle XZW

What should you do if you have questions about the practice problems?

• Search online

• Bring them to class

• Ask a friend

• Ignore them