Geometry
Chapter 3 Review
Name: _____________________________
Period: ______
1. Which angles are corresponding angles?
A. 1 and 13
B. 10 and 11
C. 8 and 16
D. None of these
2. If m 1 = m 13, which postulate or theorem justifies that a b?
A. Alternate Exterior Angles Converse
B. Alternate Interior Angles Converse
C. Consecutive Interior Angles Converse
D. Corresponding Angles Converse
3. Complete the statement. If a transversal intersects two parallel lines, then ____.
A. corresponding angles are supplementary
B. alternate interior angles are supplementary
C. consecutive interior angles are congruent
D. none of these
4. If a transversal intersects two parallel lines, then _____________ angles are supplementary.
A. consecutive interior
B. alternate exterior
C. alternate interior
D. corresponding
Use the diagram to complete each statement.
5. A line parallel to SX is
6. A line perpendicular to TW
7. A line skew to TU is
8. Plane VZX is parallel to plane
Use the diagram to complete the statement with corresponding, alternate interior, alternate exterior or
consecutive interior.
8. 2 and 8 are _______________________ angles.
1
2
9. 1 and 6 are _______________________ angles.
10. 3 and 5 are _______________________ angles.
11. Use the figure to the right to find x, y, and z.
4
3
6
5 8
7
For #12-13, state the postulate or theorem that would prove the lines parallel.
z
l
y
12.
13.
m
22
22
56º
124º
For #14-15, find the value of x that would make the lines parallel.
14.
15.
(7x + 20)˚
5x˚
90˚
16. Determine whether
and
are parallel, perpendicular, or neither given
W (-3, -2), X (9, 1), Y (3, 6), Z (5, -2).
17. Determine whether the lines are parallel, perpendicular, or neither: –2x – y = 4 and 4x + 2y = 4.
18. Write the equation of the line that has a slope 5 and passes through the point (2, -1).
19. Write the equation of the line in slope intercept form that passes through the point (-3, 2)
1
and is parallel to y = x + 2.
3
20. Write the equation of the line slope intercept form that passes through the point (0, 3)
and is perpendicular to y =
-1
x + 2.
4
21. Given A(–1, 4), B(1, 5), and C(–5, 3), which coordinate will make AB parallel to CD ?
A. (-2, 3)
B. (0, 9)
C. (-3, 4)
D. (5, 4)