Congruence of Triangles: Definition, Conditions and Applica

Congruence of Triangles

Quarter 3: Module 3

Objectives

• Illustrate the triangle congruence postulates.   M8GE-IIld-1 

• Solve corresponding parts of congruent triangles. M8GE-IIIf-1

Pre-test

Read and analyze then choose the correct answer.

Multiple Choice

In ∆PGO, what is the included side between ∠G to ∠P?

• OG

• GP

• GO

• PO

Multiple Choice

∆CAP, what is the included angle between CA and PA?

• ∠B

• ∠C

• ∠PCA

• ∠A

Multiple Choice

If the two sides and an included angle of one triangle are congruent correspondingly to the two sides and an included angle of another triangle, then the triangles are congruent by what postulate?

• SAS

• SSS

• SAA

• ASA

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Let's Define It!

From the acronym SSS, SAS, ASA and SAA Congruence Postulate, what do you think of:

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SSS?

Open Ended

SAS?

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ASA?

Open Ended

SAA?

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Multiple Choice

Based on the triangle congruence investigation, some of that are called Triangle Congruence Postulates, which of the following is not included in triangle congruence postulates?

• SSS

• AAA

• SAS

• ASA

• AAS

Multiple Choice

Based on the picture, what is the included angle between $\overline{PM}\ and\ \overline{PN}$  ?

•  $\angle S$  

•  $\angle M$  

•  $\angle P$  

Multiple Choice

Based on the picture, what is the included side between $\angle E\ and\ \angle F$  ?

•  $\overline{BC}$  
  

•  $\overline{EF}$  

•  $\overline{FD}$  

Multiple Choice

Based on the picture, what is the non-included side on $\Delta ABC?$  

•  $\overline{BC}$  

•  $\overline{AB}$  

•  $\overline{ED}$  

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Open Ended

How important the congruence especially the triangle congruence in constructing structures (Buildings, Bridges, etc?