Geometry Take-Home Test 3 Name:____________________________________  3

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Geometry Take-Home Test 3 Name:____________________________________

For problems 1-2, Circle the correct response using the diagram at the right..

1.

Two

alternate interior angles:

a)

14

and

3

b)

7

and

11

c)

2 and

6

d)

16 and

12

2.

Two

same-side exterior angles : a)

14

and

3

b)

13

and

1

c)

1 and

6

d)

16 and

12

For problems 3-4, use the diagram to find and state theorem or postulate that justifies your answer.

3.

.

4.

Given: r || t

m

2 = ________ by m

5 = _______ by

______ m

______

1 = ____________ by

m

2= _____________ by

______

______

5. Find the value of x for which a || t. a)

6. Find the value of the variable x. a) b)

x = ________________

On problems 7-9, find the values of the variables.

7. 8.

x = __________________ x = __________________ b)

a t

x = __________

9.

x = _______________

y = __________________ y = ___________________

z = ____________________

y = _______________

z = _______________

10.

What is the interior angle sum of the following polygon?

11.

Determine the angle measure of each interior and exterior angle for a

convex regular octacagon

.

a) Each Interior angle measure = ____________________ b) Each exterior angle measure = _________________

Determine whether the following pairs of lines are parallel, perpendicular, or neither. JUSTIFY your answer.

12.

4

8

y y

6

3

x x

28

16

y

x x

2

11

14.

4

2

y y

4

4

x x

12

8

For questions 15-16, write the equation of each line described below.

15.

The line passes through (-7, 3) and (3, 23).

16.

The line is perpendicular to

y

 

4

x

120

and contains (12, -11).

17. Using INTERCEPTS, graph the following. SHOW WORK! 18. Using slope and y-intercept, graph the following.

3

x

2

y

 

12

y

 

4

7

x

8

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