How to Use SAS to Prove Congruent Triangles

The video tutorial explains how to create a geometric proof by using statements and reasons. It begins with identifying given congruent triangles and their corresponding parts. The instructor discusses the properties of congruent triangles and how to use these properties to prove congruence. The reflexive property is introduced as a tool to complete the proof, ultimately demonstrating that two triangles are congruent using the side-angle-side method.

What is the first step in creating a proof according to the video?

• Apply the side-angle-side postulate

• Determine the reflexive property

• Write down the given information

• Identify the congruent angles

Why are the sides of congruent triangles equal?

• Because of the reflexive property

• Due to the side-angle-side postulate

• Due to the definition of congruence

• Because they have the same length

Which property is used to prove that a side is congruent to itself?

• Associative property

• Transitive property

• Symmetric property

• Reflexive property

What postulate is used to conclude the congruence of triangles TPQ and SQR?

• Side-Angle-Side (SAS)

• Side-Side-Side (SSS)

• Angle-Angle-Side (AAS)

• Angle-Side-Angle (ASA)

What is the significance of the side-angle-side postulate in the proof?

• It establishes the equality of angles

• It determines the length of sides

• It is used to prove congruence of triangles

• It helps identify congruent angles