How to Prove Congruent Triangles Using SAS - Congruent Triangles

The video tutorial explains the concept of two column proofs, focusing on breaking down statements and reasons. It covers the properties of equilateral triangles, angle bisection, and how these concepts are used to prove triangle congruence using the side-angle-side method. The tutorial concludes with a final proof demonstrating congruence between specific triangle sides.

What is the primary purpose of using two-column proofs?

• To make the proof longer

• To confuse the reader

• To separate statements and reasons clearly

• To make the proof look organized

Why do we accept that triangle XYZ is equilateral?

• Because it looks like one

• Because it is given in the problem

• Because we assume it

• Because it is a common fact

What does it mean if a line bisects an angle?

• The angle is doubled

• The angle is ignored

• The angle is multiplied by two

• The angle is divided into two equal parts

What property allows us to say WY is congruent to WY?

• Transitive Property

• Symmetric Property

• Associative Property

• Reflexive Property

Which method is used to prove the congruence of triangles in this lesson?

• Angle-Angle-Side

• Side-Side-Side

• Angle-Side-Angle

• Side-Angle-Side

What must be true for two triangles to be congruent by side-angle-side?

• The angle must be outside the two sides

• The sides must be perpendicular

• The sides must be parallel

• The angle must be between the two sides

What is the final goal of the proof discussed in the lesson?

• To prove all angles are equal

• To prove the triangles are different

• To prove XW is congruent to ZW

• To prove the triangles are similar

Why can we conclude that XW is congruent to ZW?

• Because they are perpendicular

• Because they are parallel

• Because they are part of congruent triangles

• Because they look the same

What is the definition of congruence used in the final proof?

• Congruent triangles have equal side lengths

• Congruent triangles have equal perimeters

• Congruent triangles have equal areas

• Congruent triangles have equal angles

What is the significance of proving triangle congruence in geometry?

• It only applies to right triangles

• It helps in calculating areas

• It helps in proving other geometric properties

• It is not significant