Exploring Triangle Congruence with Side-Angle-Side Postulate

In this video, Teacher Gone explains the Side-Angle-Side (SAS) congruence postulate, which 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 triangles are congruent. The video covers the concept of included angles, demonstrates the application of the SAS postulate in proving triangle congruence, and provides problem sets for practice. The video concludes with a reminder to like and subscribe to the channel for more educational content.

What is the main topic of the video?

• Pythagorean Theorem

• Circle Theorems

• Side Angle Side Congruence Postulate

• Quadrilateral Properties

What does the SAS Congruence Postulate state?

• 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.

• 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 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.

Tags

CCSS.HSG.SRT.B.5

What is an included angle?

• An angle that is equal to 90 degrees

• An angle that is outside the triangle

• An angle that is between two given sides

• An angle that is not between two given sides

In the example, which sides are congruent?

• Side AC and Side PR

• Side AC and Side PQ

• Side BC and Side PR

• Side AB and Side PQ

Tags

CCSS.8.G.A.2

Which angles are congruent in the example?

• Angle A and Angle Q

• Angle C and Angle B

• Angle B and Angle R

• Angle A and Angle B

Tags

CCSS.8.G.A.2

What is the congruency statement for the triangles in the example?

• Triangle ABC is congruent to Triangle PRQ

• Triangle ABC is congruent to Triangle PQR

• Triangle ABC is congruent to Triangle QRB

• Triangle ABC is congruent to Triangle QRP

Tags

CCSS.HSG.CO.B.7

In the problem set, which side is congruent to side AO?

• Side AC

• Side AB

• Side OB

• Side OC

Tags

CCSS.HSG.CO.A.1

What property is used to prove that angle O is congruent to itself?

• Transitive Property

• Symmetric Property

• Substitution Property

• Reflexive Property

Tags

CCSS.HSG.SRT.B.5

Which side is congruent to side BO in the problem set?

• Side AB

• Side OB

• Side BC

• Side OC

Tags

CCSS.HSG.CO.A.1

What is the final congruency statement for the triangles in the problem set?

• Triangle AOB is congruent to Triangle POB

• Triangle AOB is congruent to Triangle COB

• Triangle AOB is congruent to Triangle QOB

• Triangle AOB is congruent to Triangle ROB

Tags

CCSS.HSG.SRT.B.5