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MG21 Review Part 2_3 Period:____ Name:_________________________
1. Line L and M are perpendicular. If the slope of line M is (
4
),
3
what is the slope of line L?
2. What is the slope of a line perpendicular to graph of the equation
5x – 3y = 2
3. The slope of a line perpendicular to the line whose equation is
y = 4x + 5 is
1
)x + 10 ?
2
1
5. The graph of which equation is perpendicular to the graph of y = ( )x – 5 ?
3
1
1
1) y = ( )x + 5
2) y = ( )x - 5
3
3
4. The graph of which equation is perpendicular to the graph of y = (
3) y = -3x - 5
4) y = 3x + 5
6. The graph of the equation y = (
1
)x + 2 is perpendicular to the graph of the equation
3
1
3
1
3) y = ( )x -1
2
1) y = ( )x + 5
2) 3y = x + 2
4) y = -3x + 2
7. In a triangle ABC, <C is a right angle, if the slope of AC is (
equals
1)
2
3
2)
2
3
3)
2
), then the slope of BC
3
3
2
4)
3
2
8. Find the mid point of (1,2) and (5, 10)
9. Find the slope of (1,2) and (5, 10)
10. If two lines are parallel and the slope of one of the lines is m, what is the product of their
slopes?
11. Side AB of parallelogram ABCD is represented by the equation y – 7 = (
equation could represent side CD?
1) 2y + 14 = 3x
2) 3y + 9 = 2x
3) 3y – 3 = -2x
4) Y – 5 = ( 
2
)x. Which
3
2
)x
3
12. Which properties best describe the coordinate graph of two distinct parallel lines?
1) same slopes and same intercepts
2) same slopes and different intercepts
3) different slopes and same intercepts
4) different slopes and different intercepts
13. Which equation represents a line parallel to the line whose equation is
y=
2
x + 3?
3
1) y = 2x – 3
3)y + 4 = (
2
)x
3
1
3
2) y = ( )x + 3
4) 2y -4 = 3x
14. Which equation represents a line that passes through the point (0,1) and is parallel to the
line whose equation is 3x + y = 5?
1) 3x + y = 3
2) 3x + y = 1
3) 3x + y = 0
4) 3x + y = -1
15. What is an equation of the line that is parallel to the y-axis and passes through the point
(2,4)?
1) x = 2
2) y = 2
3) x = 4
4) y = 4
16. Which is an equation of the line that is parallel to y = 3x – 5 and has the same y-intercept
as y = -2x + 7?
1) y = 3x – 2
2) y = -2x – 5
3) y = 3x + 7
4)y = -2x – 7
17. If p represents “x is an even number” and q represents “x is divisible by 5,” then which of
the following is true when x = 6?
(1) p and q
(2) p or q
(3) ~p
(4) q
18. When p is false and q is true, then
(1) p and q is true
(3) ~q is true.
(2) p or q is false.
(4) q or p is true
19. Two complementary angles are in the ratio 1:5. Find measure of the smaller angle.
20 .In the accompanying diagram of quadrilateral ABCD diagonal AC bisects
BAD and BCD. Which statement can be used to prove that ∆ABC  ABC ?
(1) AAA  AAA
(2) SSS  SSS
(3) ASA  ASA
(4) SAS  SAS
21. If the sum of the degree measures of the interior angles of a polygon is
3240 degrees, how many sides does the polygon have?
22. What is the measure, in degrees, of each exterior angle of a regular hexagon?
23. If each interior angle of a regular measures 170, what is the total number of sides
in the polygon?
24. Which set of numbers could represent the length of the sides of a triangle?
1) {4,9,13}
3) {5,5,13}
2) {5,8,12}
4) {5,5,10}
25. Which polygon must have congruent diagonals?
(1) rhombus
(3) parallelogram
(2) square
(4) trapezoid
26. The coordinates of quadrilateral ABCD are A(-5,-4), B(1,-2), C(2, 3), and D(-4, 1). Show
that both pairs of opposite sides are parallel.
27. Trapezoid PQRS has parallel bases PQ and SR .The coordinates of the vertices are P (0,
0), Q (k, 5), R (7,-1), and S (k,-3).
a. Express the slope of PQ in terms of k.
b. Express the slope of in SR terms of k.
c. Write an equation that can be used to solve for k and solve this equation for k.
Answer key:
1. ¾
2.
3
5
3. y 
1
x  any #
4
4. y  2 x  any #
5. (3)
6. (4)
7. (3)
8. (3,6)
9. 2
10. m 2
11. (2)
12. (2)
13. (3)
14. (3)
15. (2)
16. (3)
17. (2)
18. (4)
19. 15
20. (3)
21. 20
22. 60
23. 36
24. (2)
25. (2)
26. use slope and prove that they will have same slope such as ABll CD and DBll DA
27. a.
5
k
b.
2
7k
c. k = 5