CPCTC Worksheet



CPCTC Worksheet

I. Solve for the variable.

1. [pic]. Find h. 2. [pic]. Find a.

[pic]

3. [pic]. Find x. 4. [pic] Find y.

5. [pic] Find a. 6. [pic] Find p.

7. [pic] Find x. 8. [pic] Find y.

II. Set up an equation and then solve for the variable.

9. [pic]. Find x. 10. [pic]. Find a.

[pic]

11. [pic] Find x. 12. [pic] Find y.

13. [pic] Find y. 14. [pic] Find x.

15. [pic] Find a. 16. [pic] Find p.

Proofs

1. GIVEN: N is the midpoint of[pic]

[pic] [pic]

PROVE: (X ( (Y

2. GIVEN: [pic] [pic]

PROVE: (RST ( (RSV

3. GIVEN: [pic]bisects (EVO & (EBO

PROVE: (E ( (O

Proofs J M

4. GIVEN: [pic] (JKL ( (MLK

PROVE: [pic] K L

5. GIVEN: [pic] [pic]

PROVE: (RST ( (RSV

A

6. GIVEN: [pic] is angle bisector of [pic] 1 2

[pic]

PROVE: [pic]

B D C

-----------------------

38°

a°

F

G

H

I

E

A

T

C

O

G

DD

h

15

x°

M

N

R

P

Q

A

B

C

D

(3y)°

21°

35o

X

Y

W

V

Z

52o

84o

ao

X

Y

W

Z

V

4

p

18

13

y

B

C

A

D

B

C

A

D

41o

xo

7

(5a) o

(2a+3) o

F

G

H

I

E

A

T

C

O

G

DD

(3x+9)

(8x-6)

B

C

A

D

(4x-35)o

(2x+17)o

7 y

3y + 20

B

C

A

D

Q

R

N

M

P

35o

(5x-10)o

B

C

D

A

3y+21

5y-7

X

Y

W

Z

V

4

2p

18

(7p+13)

A

X

N

Y

B

|STATEMENTS |REASONS |

|1. N is the midpoint of [pic] | |

|2. |Definition of a midpoint |

|3. [pic] | |

|4. |Given |

|5. [pic] | |

|6. |Corr parts of [pic][pic]’s [pic] |

R

T

S

V

|STATEMENTS |REASONS |

|1. |Given |

|2. | |

|3. |Reflexive |

|4. |SSS |

|5. (RST ( (RSV | |

B

V

O

E

1

2

3

4

|STATEMENTS |REASONS |

|1. [pic]bisects (EVO | |

|2. |Definition of Angle Bisector |

|3. |Given |

|4. [pic] | |

|5. [pic] | |

|6. |ASA |

|7. (E ( (O | |

|STATEMENTS |REASONS |

|1. [pic] | |

|2. |Given |

|3. [pic] | |

|4. (JKL ( (MLK | |

|5. |Corr parts of [pic][pic]’s [pic] |

R

T

S

V

|STATEMENTS |REASONS |

|1. |Given |

|2. |Given |

|3. [pic] | |

|4. [pic] | |

|5. | |

|6. (RST ( (RSV | |

|STATEMENTS |REASONS |

|1. | |

|2. |Definition of Angle Bisector |

|3. |Given |

|4. |Reflexive |

|5. [pic] | |

|6. [pic] | |

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