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CPCTC Homework

Last updated over 5 years ago

33 questions

Note from the author:

Corresponding Parts of Congruent Triangles are Congruent

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Question 1

1.

Question 2

2.

Question 3

3.

Question 4

4.

Question 5

5.

Question 6

6.

Question 7

7.

Question 8

8.

Question 9

9.

Question 10

10.

Question 11

11.

Question 12

12.

Question 13

13.

Reason 1:

Question 14

14.

Reason 2:

Question 15

15.

Reason 3:

Question 16

16.

Reason 4:

Question 17

17.

Reason 5:

Question 18

18.

Question 19

19.

Question 20

20.

Question 21

21.

Question 22

22.

Question 23

23.

Question 24

24.

Question 25

25.

Question 26

26.

Question 27

27.

Question 28

28.

Question 29

29.

Question 30

30.

Question 31

31.

Question 32

32.

Question 33

33.

Triangles ADB and CDB are congruent by:

SSS

SAS

ASA

AAS

CPCTC

Now we can prove angle A is congruent to angle C by:

SSS

SAS

ASA

AAS

CPCTC

Triangles FEH and HGF are congruent by:

SSS

SAS

ASA

AAS

CPCTC

Now we can prove HE is congruent to FG by:

SSS

SAS

ASA

AAS

CPCTC

Triangles JLK and NMP are congruent by:

SSS

SAS

ASA

AAS

CPCTC

Now we can prove angle K is congruent to angle P by:

SSS

SAS

ASA

AAS

CPCTC

Triangles QRS and STQ are congruent by:

SSS

SAS

ASA

AAS

CPCTC

Now we can prove angle QST is congruent to SQR by:

SSS

SAS

ASA

AAS

CPCTC

Triangles VUX and VWX are congruent by:

SSS

SAS

ASA

AAS

CPCTC

Now we can prove angle U is congruent to angle W by:

SSS

SAS

ASA

AAS

CPCTC

Triangles YZA and BCA are congruent by:

SSS

SAS

ASA

AAS

CPCTC

Now we can prove ZA is congruent to AC by:

SSS

SAS

ASA

AAS

CPCTC

Reason 1:

reflexive

alternate interior angles

given

AAS

SAS

CPCTC

definition of bisect

SSS

Reason 2:

reflexive

alternate interior angles

given

AAS

SAS

CPCTC

definition of bisect

SSS

Reason 3:

reflexive

alternate interior angles

given

AAS

SAS

CPCTC

definition of bisect

SSS

Reason 4:

reflexive

alternate interior angles

given

AAS

SAS

CPCTC

definition of bisect

SSS

Reason 5:

reflexive

alternate interior angles

given

AAS

SAS

CPCTC

definition of bisect

SSS

Reason 6:

reflexive

alternate interior angles

given

AAS

SAS

CPCTC

definition of bisect

SSS

Statement 1:

alternate interior angles

CPCTC

QK is congruent to QA and ray QB bisects angle KQA

QB is congruent to QB

Reason b 

reflexive

alternate interior angles

given

AAS

SAS

CPCTC

definition of bisect

SSS

Statement 3:

reflexive

alternate interior angles

QB is congruent to QB

QK is congruent to QA and ray QB bisects angle KQA

definition of bisect

Reason d (4):

reflexive

alternate interior angles

given

AAS

SAS

CPCTC

definition of bisect

SSS

Reason e (5):

reflexive

alternate interior angles

given

AAS

SAS

CPCTC

definition of bisect

SSS

Reason 1:

reflexive

alternate interior angles

given

AAS

SAS

CPCTC

definition of bisect

SSS

Reason 2:

reflexive

alternate interior angles

given

AAS

SAS

CPCTC

definition of bisect

SSS

Reason 3:

reflexive

alternate interior angles

given

AAS

SAS

CPCTC

definition of bisect

SSS

Reason 4:

reflexive

alternate interior angles

given

AAS

SAS

CPCTC

definition of bisect

SSS

Reason 5:

reflexive

alternate interior angles

given

AAS

SAS

CPCTC

definition of bisect

SSS