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