Unit 6 Lesson 1 - CPCTC

Unit 6 Lesson 1 - CPCTC

Corresponding Parts of Congruent Triangles are Congruent

(Images from wisotskyj16)

Correspondence of Triangles:

If two triangles are superimposed, then the angles and sides that coincide are corresponding.

Congruence of Triangles

• Definition: Two triangles are congruent if and only if their corresponding parts are congruent.   

Congruence of Triangles

• If two triangles are congruent, then their corresponding parts are congruent.

  --> The Corresponding Parts of Congruent Triangles are Congruent (CPCTC)

• If the corresponding parts of two triangles are congruent, then the two triangles are congruent.

Multiple Choice

What does CPCTC stand for?

• Congruent parts of congruent triangles are congruent

• Corresponding parts of congruent triangles are congruent

• Corresponding parts of corresponding triangles are corresponding

• Corresponding parts of congruent triangles are Canadian.

Multiple Choice

Complete the congruence statement.

• CRP

• PCR

• RPC

• PRC

Transforming Congruent Triangles

Orientation of the triangles is not important. This means that the triangles can be reflected, translated and rotated. 

Multiple Choice

Which is a correct congruence statement.

• A
• B
• C
• D

Multiple Choice

Complete the congruence statement.

• OEG

• OGE

• EGO

• GOE

Multiple Choice

ΔXYZ ≅ Δ ____

• CAB

• BAC

• ABC

Multiple Choice

Using the given diagram, which side is congruent to AB?

• FE

• DE

• DF

Multiple Choice

Using the given diagram, which side is congruent to ZY?

• AB

• BC

• CA

Multiple Choice

Given this pair of congruent triangles, which angle is congruent to A?

• X

• Y

• Z

Multiple Choice

• A

• B

• C

• D

Multiple Choice

If ΔDEF ≅ ΔRST, then we can conclude that DE = what?

• ST

• RS

• DF

• RT

Multiple Choice

If ∆XYZ ≅ ∆KLM, then
∠Y≅ _____

• ∠K
• ∠M
• ∠L
• ∠Z

Multiple Choice

Name the corresponding angle or side.

• A

• B

• C

• D

Let's do some application!

Only a few slides left :)

Multiple Choice

If 

 $\Delta BCM\cong\Delta ZYR$  , find the length of  $\overline{CM}$  

• 8 m

• 11 m

• 15 m

• 32°

Multiple Choice

These two triangles are congruent. If ∠C is 40^o find the measure of ∠F.

• 40^o
• 50^o
• 90^o
• 45^o

Multiple Choice

Find the value of y for the given picture.

• 4

• 5.75

• 3.86

• 2.86

Multiple Choice

If  $\Delta STW\cong\Delta XYZ$ 

find x.

(Hint: Set up an equation with congruent sides ST and XY)

• 2

• 3

• 4

• 6

Multiple Choice

Given that ΔPQR ≅ Δ LJK, PR=2x+6, JL= 10 units, LK= 3x-6, find the measure of side PR.

• 10

• 2

• 12

• 30