Triangle Congruence and Postulates

The video tutorial introduces congruent triangles and focuses on two postulates: Side-Side-Side (SSS) and Side-Angle-Side (SAS). It explains how these postulates can be used to prove triangle congruence, provides examples, and offers practice problems to reinforce learning. The tutorial concludes with a summary and additional resources for practice.

What is required for two triangles to be congruent?

• Three congruent angles and two congruent sides

• Three congruent angles and three congruent sides

• Two congruent angles and three congruent sides

• Two congruent angles and two congruent sides

Tags

CCSS.HSG.SRT.B.5

Which postulate states that if three sides of one triangle are congruent to three sides of another triangle, the triangles are congruent?

• Angle-Side-Angle (ASA)

• Side-Side-Side (SSS)

• Side-Angle-Side (SAS)

• Angle-Angle-Angle (AAA)

In the SAS postulate, what must be true about the angle?

• It must be the smallest angle in the triangle

• It must be a right angle

• It must be an included angle between the two sides

• It must be the largest angle in the triangle

Tags

CCSS.HSG.SRT.B.5

Which of the following is NOT a valid method to prove triangle congruence?

• Angle-Side-Angle (ASA)

• Angle-Angle-Angle (AAA)

• Side-Angle-Side (SAS)

• Side-Side-Side (SSS)

Tags

CCSS.8.G.A.2

If two triangles have two angles and a non-included side congruent, what can be said about their congruence?

• They are congruent by SAS

• They are congruent by SSS

• They are not necessarily congruent

• They are congruent by ASA

Tags

CCSS.HSG.SRT.B.5

In the example with triangle B.I.G, which postulate was used to prove congruence?

• Angle-Side-Angle (ASA)

• Side-Side-Side (SSS)

• Side-Angle-Side (SAS)

• Angle-Angle-Side (AAS)

Tags

CCSS.HSG.SRT.B.5

What is the significance of a shared side in proving triangle congruence?

• It can be ignored as it does not affect congruence

• It makes the triangles similar but not congruent

• It can be used to establish congruence by SSS or SAS

• It only affects the angles of the triangles

Tags

CCSS.HSG.SRT.B.5

What additional information is needed to prove congruence by SAS if two sides and an angle are already known?

• Another angle

• Another side

• The area of the triangle

• The perimeter of the triangle

Tags

CCSS.HSG.SRT.B.5

Which postulate requires three pairs of corresponding sides to be congruent?

• Angle-Angle-Side (AAS)

• Side-Side-Side (SSS)

• Angle-Side-Angle (ASA)

• Side-Angle-Side (SAS)

Tags

CCSS.8.G.A.2

What is the result when all three angles of two triangles are congruent?

• The triangles are congruent

• The triangles are similar

• The triangles are identical

• The triangles are neither congruent nor similar

Tags

CCSS.8.G.A.2