Proving Triangle Congruence: SSS, SAS, ASA, AAS, and HL

The video tutorial explains how to prove triangle congruence using various methods such as side angle side, side side side, angle side angle, and hypotenuse leg. It also discusses why certain configurations like angle angle angle and side side angle do not prove congruence. The tutorial includes examples and emphasizes the importance of the position of angles and sides in determining congruence.

Which of the following methods does NOT prove triangle congruence?

• Side-Side-Side (SSS)

• Side-Angle-Side (SAS)

• Angle-Angle-Angle (AAA)

• Angle-Side-Angle (ASA)

In problem number one, which method is used to prove the triangles are congruent?

• Side-Side-Side (SSS)

• Side-Angle-Side (SAS)

• Angle-Side-Angle (ASA)

• Hypotenuse-Leg (HL)

What is the correct method to prove congruence for triangles with three sides marked?

• Angle-Angle-Side (AAS)

• Angle-Side-Angle (ASA)

• Side-Angle-Side (SAS)

• Side-Side-Side (SSS)

When two triangles share a side, what can be said about that side?

• It is only congruent if the angles are equal

• It cannot be used to prove congruence

• It is congruent for both triangles

• It is not congruent for both triangles

Which method is used to prove congruence when two angles and the included side are known?

• Side-Angle-Side (SAS)

• Side-Side-Side (SSS)

• Angle-Side-Angle (ASA)

• Angle-Angle-Side (AAS)

What is the term for angles that are across from each other when two lines intersect?

• Complementary angles

• Supplementary angles

• Vertical angles

• Adjacent angles

If a side is not between two angles in a triangle, which method is used to prove congruence?

• Side-Side-Side (SSS)

• Side-Angle-Side (SAS)

• Angle-Side-Angle (ASA)

• Angle-Angle-Side (AAS)

What does it mean when a segment bisects an angle in a triangle?

• The segment is perpendicular to the angle

• The segment divides the angle into two equal parts

• The segment creates two right angles

• The segment is parallel to the angle

Which method is used to prove congruence for right triangles with a hypotenuse and a leg marked?

• Side-Side-Side (SSS)

• Side-Angle-Side (SAS)

• Angle-Side-Angle (ASA)

• Hypotenuse-Leg (HL)

In the final example, which method is used to prove congruence when two sides and the included angle are known?

• Angle-Angle-Side (AAS)

• Side-Angle-Side (SAS)

• Side-Side-Side (SSS)

• Angle-Side-Angle (ASA)