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Geom: CPCTC

Geom: CPCTC

Assessment

Presentation

Mathematics

10th Grade

Practice Problem

Medium

CCSS
HSG.SRT.B.5, HSG.CO.B.7, 8.G.A.5

+4

Standards-aligned

Created by

CHRISTOPHER CAVIN

Used 10+ times

FREE Resource

13 Slides • 30 Questions

1

Geom: CPCTC

G.CO.B.8 Guide 4

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2

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3

Multiple Select

 ΔTNJΔRPQ\Delta TNJ\cong\Delta RPQ  Which of the followng are true based on the congruence statement? Select all that apply. 

1

 TR\angle T\cong\angle R  

2

 TRJQ\overline{TR}\cong\overline{JQ}  

3

 TNRP\overline{TN}\cong\overline{RP}  

4

 NJ\angle N\cong\angle J  

4

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5

Multiple Choice

What does CPCTC stand for?
1
Congruent parts of congruent triangles are congruent
2
Corresponding parts of congruent triangles are congruent
3
Corresponding parts of corresponding triangles are corresponding
4
Corresponding parts of congruent triangles are Canadian.

6

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7

8

Multiple Choice

True or False: I can use CPCTC before I establish that the triangles are congruent.

1

True

2

False

9

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10

11

Multiple Choice

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Fill in the reason for number 3. 
1
Reflexive property
2
Symmetric Property
3
Transitive property
4
Substitution property

12

Multiple Choice

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Find the measure of  NJZ\angle NJZ  

1

38

2

90

3

52

4

128

13

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14

15

Multiple Choice

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What is the justification (reason)?
1
reflexive property
2
definition of segment bisect
3
definition of a midpoint
4
substitution property

16

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17

18

Multiple Choice

Is Angle-Angle-Angle (AAA), a valid rule for proving triangles congruent?
1
No
2
Sometimes
3
Yes
4
N/A

19

Multiple Choice

If AB = BC and BC = CD, then CD = AB is an example of what?
1
Reflexive Property
2
Symmetric Property
3
Transitive Property
4
Transformative Property

20

Multiple Choice

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What is the "reason" for step 3 of the proof?
1
Vertical Angle Theorem
2
given
3
reflexive property
4
proof

21

Multiple Choice

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Fill in the blank.
1
Given
2
Reflexive Property
3
Transitive Property
4
They're the same side!!!!!! 

22

Multiple Choice

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What postulate proves these triangles congruent?
1
HL
2
SSS
3
SAS
4
ASA

23

Multiple Choice

What does SAS stand for?
1
Side-Angle-Side
2
Super-Awesome-Side
3
Side-Angle-Supersized
4
Sensationally Awesome Superman

24

Multiple Choice

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Are the triangles congruent, if yes, why?
1
SSS
2
ASA
3
AAA
4
Not Congruent

25

Multiple Choice

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Are the triangles congruent, if yes, why?
1
SSS
2
SAS
3
ASA
4
Not Congruent

26

Multiple Choice

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Are the triangles congruent, if yes, why?
1
SAS
2
ASA
3
SSS
4
Not Congruent

27

Multiple Choice

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What is the correct congruence statement?  ΔDEC ≅________
1
ΔAEB
2
ΔEAB
3
ΔBEA
4
Not Congruent

28

Multiple Choice

All of the following prove triangles congruent except
1
SSS
2
SAS
3
CPCTC
4
HL

29

Multiple Choice

You should use CPCTC ______
1
before you prove triangles congruent
2
to prove two triangles congruent
3
after proving triangles congruent to get the corresponding parts congruent
4
never use CPCTC it is not a thing

30

Multiple Choice

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Fill in the missing pieces of the proof.
1
Transitive Property, SAS(Side-Angle-Side)
2
Reflexive Property, SAS(Side-Angle-Side)
3
Reflexive Property, Vertical Angles Thm.
4
Transitive Property, SSS(Side-Side-Side)

31

Multiple Choice

Which of the following is NOT a valid reason to prove congruent triangles?
1
SSA
2
ASA
3
SAS
4
SSS

32

Multiple Choice

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Line HI and Line FC are______________.

1

Parallel

2

Skew

3

Intersecting

33

Multiple Choice

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Angle 2 is congruent to Angle _____ because when parallel lines are cut by a transversal, corresponding angles are congruent.

1

3

2

6

3

8

4

7

34

Multiple Choice

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What type of lines are lines FE and GH?

1

Parallel

2

Skew

3

Intersecting

35

Multiple Choice

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True/False: a single rotation could map Triangle ABC onto Triangle A'B'C'.

1

True

2

False

36

Multiple Choice

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If you were given that  BCDC,\overline{BC}\cong\overline{DC},  what other information would you need to be given to prove the triangles congruent by SAS? 

1

 BACDAC\angle BAC\cong\angle DAC  

2

 BCADCA\angle BCA\cong\angle DCA  

3

 BD\angle B\cong\angle D  

4

 ADAB\overline{AD}\cong\overline{AB}  

37

Multiple Choice

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What reason goes in the box for reason 2?

1

Alternate Interior Angles

2

Vertical Angles

3

Reflexive Property

4

CPCTC

38

Multiple Choice

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What reason goes in the blank for reason 3?

1

CPCTC

2

ASA

3

SAS

4

SSS

39

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40

Multiple Choice

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What is the reason for statement 2?

1

Vertical angles

2

Reflexive Property

3

Definition of Midpoint

4

CPCTC

41

Multiple Choice

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 B?\angle B\cong\angle?  because of alternate interior angles

1

A

2

B

3

C

4

D

5

E

42

Multiple Choice

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What is the reason for statement 6?

1

ASA

2

SSS

3

CPCTC

4

Definition of Midpoint

5

Reflexive Property

43

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Geom: CPCTC

G.CO.B.8 Guide 4

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