# Geometry

```Geometry
Name ____________________________________
Unit 3 Celebration of Knowledge
Decide whether each statement must be true or false. Use the figure for Exercises 4–8.
______ 1. Two coplanar lines are always parallel.
______ 2. Any two noncoplanar lines are skew.
______ 3. The sum of the interior angles of a polygon is always 360&deg;.
______ 4. 15 and 3 are same-side interior angles.
______ 5. 9 and 15 are alternate interior angles.
and 14 are corresponding angles.
______ 6.
______ 7. If 1  5 , then
.
______ 8. If 10 and 7 are supplementary, then
Find
and
9.
.
10.
11.
Use the given information to determine which lines must be parallel. State the theorem or postulate
that justifies your answer. If there are no such lines, write none.
12. 3  8
13. 2  10
14. 4  5  180
15. 7  10
16. 3  4  180
17. 6  9
Find the values of the variables.
18.
21.
19.
20.
22.
23. What is the measure of an interior angle of a regular 24-gon?
24. What is the measure of an exterior angle of a regular 15-gon?
Determine whether the following pairs of lines are parallel, perpendicular, or neither. JUSTIFY.
1
25.
26. y  x  7
27.
28. y  4
3
x3
6x  2 y  8
Write the equation of each line described in point-slope form.
29. The line has slope of 6 and contains
.
30. The line passes through (-2, 4) and (6,8).
31. The line is perpendicular to y  3 x  6 and contains (-4, 9).
32. Use intercepts to graph the following.
3 x  7 y  21
33. Use the slope and y-intercept to graph
the following.
5
y  x4
3
34. Prove the following theorem: The acute angles of a right triangle are complementary.
Given: ΔABC with right angle C
Prove : A and B are complementary
Statements
Reasons
1. ABC with right angle C
1. Given
2. mC  90
2. _____________________________
3. _____________________________
3. Triangle Angle-Sum Theorem
4. mA  mB  90  180
4. _____________________________
5. mA  mB  90
5. _____________________________
6. A and B are complementary
6. _____________________________
BONUS:
Find the value of w in the following figure.
```