Congruent Triangles (Writing Congruence Statements)

Proving Congruent Triangles

(Writing Congruence Statements)

Lesson Objective

• Prove two triangles are congruent using the two column proof

• Write a triangle congruence statement

Triangle Congruence

If all corresponding angles and sides of two triangles are congruent, then the triangles are congruent. 

However, you can prove triangles are congruent using fewer parts

Fill in the Blanks

What is the reason for statement #1 ?

Fill in the Blanks

What is the reason for statement #2 ?

Fill in the Blanks

What is the reason for statement #3 ?

Fill in the Blanks

What is the reason for statement #4 ?

Fill in the Blanks

What is the reason for statement #5 ?

Fill in the Blanks

What is the reason for statement #1?

Fill in the Blanks

What is the reason for statement #2 ?

Fill in the Blanks

What is the reason for statement #3 ?

Multiple Choice

What will be your statement #4 ?

• ∆JMN ≅ ∆MLN

• ∆JMN ≅ ∆LNM

• ∆JMN ≅ ∆NML

Fill in the Blanks

What is the reason for statement #4 ?

Fill in the Blanks

What is the reason for statement #1 ?

Fill in the Blanks

What is the reason for statement #2 ?

Fill in the Blanks

What is the reason for statement #3 ?

Fill in the Blanks

What is the reason for statement #4?

Multiple Choice

What will be your statement #5 ?

• ∆QRS≅ ∆SQT

• ∆QRS ≅ ∆QTS

• ∆QRS ≅ ∆TSQ

Fill in the Blanks

What is the reason for statement #5 ?

Multiple Choice

What is the first statement?

• YZ bisects∠WYX

• Given

• ∆WYZ ≅ ∆XYZ

• AAS

Multiple Choice

What is the reason for statement #1?

• YZ bisects∠WYX

• Given

• ∆WYZ ≅ ∆XYZ

• AAS

Multiple Choice

What is statement #2?

• ∠YWZ ≅ ∠YXZ

• Given

• ∆WYZ ≅ ∆XYZ

• AAS

Multiple Choice

What is the reason for statement #2?

• ∠YWZ ≅ ∠YXZ

• Given

• ∆WYZ ≅ ∆XYZ

• AAS

Multiple Choice

If the reason for statement #4 is "Reflexive Property", what is statement #4?

• WY ≅ XY

• Given

• YZ≅ YZ

• ∆WYZ ≅ ∆XYZ

Multiple Choice

If the reason for statement #5 is "Angle-Angle-Side", what is statement #5?

• WY ≅ XY

• Given

• YZ≅ YZ

• ∆WYZ ≅ ∆XYZ