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Coordinate Geometry Review

Total questions: 25

Worksheet time: 47mins

Name
Class
Date
1.
Find the midpoint of the segment with the endpoints:  (-4, 5) and (7, -9) 
a)
(-1.5, 2)
b)
(5.5, -7)
c)
(-2, 1.5)
d)
(1.5, -2)
2.
What's the distance between (0,0) and (3,4)
a)
7
b)
49
c)
5
d)
25
3.
Find the distance between J and K.
a)
8.2
b)
7.7
c)
9
d)
10.2
4.
Find the slope of the line that passes through the points (2, 4) and (6, 12)
a)
1/2
b)
-1/2
c)
2
d)
-2
5.
What is the slope of the line perpendicular to y=(-5/2)x+7
a)
-5/2
b)
5/2
c)
-2/5
d)
2/5
6.
Write the equation of a line that contains the point (3, 5) and is perpendicular to the line: y=(1/4)x+6
a)
y=(1/4)x+10
b)
y=-4x+17
c)
y=4x+5
d)
y=-4x+5
7.
Find the other endpoint of the line segment with the given endpoint and midpoint. Endpoint: (9,8)   Midpoint (0,9)
a)
(-9, 10)
b)
(1.5, -1)
c)
(4.5, -0.5)
d)
(8.5, 4.5)
8.
What direction is an undefined slope?
a)
horizontal
b)
vertical
9.
a)
Scalene
b)
Equilateral
c)
Isosceles
10.
Find the slope of the line.
a)
1/4
b)
-1/4
c)
-4
d)
4
11.

Triangle PQR has vertices located at (2, 2), (5, –4), and (–4, –1). What type of triangle is triangle PQR? Select all that apply.

a)

equilateral

b)

isosceles

c)

scalene

d)

right

12.
How do we prove a triangle is a right triangle?
a)
Prove all sides are different lenghts
b)
Show that the three sides satisfy the pythagorean theorem
c)
Show that opposite angles are congruent
d)
Show that two sides are congruent
13.
How do we prove a triangle is an isosceles triangle?
a)
Prove all sides are different lenghts
b)
Show that the three sides satisfy the pythagorean theorem
c)
Show that opposite angles are congruent
d)
Show that two sides are congruent
14.

What is an equation in point-slope form for the line perpendicular to y = 2x + 13 that contains (8, –4)?

a)

y + 4 = - (1/2)(x – 8)

b)

x + 4 = 2(y – 8)

c)

y + 4 = 2(x – 8)

d)

y + 8 = - (1/2)(x – 4)

15.

Is the line through points P(–3, –2) and Q(2, 3) perpendicular to the line through points R(10, –1) and S(15, –6)? Explain.

a)

No, their slopes are not opposite reciprocals.

b)

No, their slopes are not equal.

c)

Yes, their slopes are opposite reciprocals.

d)

Yes, their slopes are equal.

16.

What is the equation in point-slope form for the line parallel to y = 5x – 4 that contains P(–6, 1)?

a)

x – 1 = –5(y + 6)

b)

y + 1 = 5(x + 6)

c)

y – 1 = –5(x + 6)

d)

y – 1 = 5(x + 6)

17.
Write the equation of the perpendicular bisector of the line AB given:
A(3,-3) & B(1,-1)
a)
y = x - 4
b)
y = x + 4
c)
y = 1/2x -4
d)
y = x + 2
18.
Write the equation of the perpendicular bisector of the line AB given:
A(3,1) & B(-3,6)
a)
y = -5/6x + 7/2
b)
y = 6/5x + 9/2
c)
y = 6/5x + 7/2
d)
y = 6/5x + 4
19.
Which of the following segments represents an altitude?
a)
BX
b)
AZ
c)
AC
d)
BZ
20.
Which of the following segments represents a median?
a)
BX
b)
AZ
c)
AC
d)
BZ
21.
Which of the following describes a median of a triangle?
a)
A segment that passes through the middle of the triangle.
b)
A segment with endpoints at the vertex and midpoint of the opposite side.
c)
A segment that connects two midpoints of two sides.
d)
A segment that connects the vertex and the opposite side at 90 degrees. 
22.
Which of the following describes an altitude of a triangle?
a)
A segment that passes through the middle of the triangle.
b)
A segment with endpoints at the vertex and midpoint of the opposite side.
c)
A segment that connects two midpoints of two sides.
d)
A segment that connects the vertex and the opposite side at 90 degrees. 
23.
Find the missing length.
a)
9
b)
18
c)
4.5
d)
16
24.
Find the missing length.
a)
12
b)
48
c)
24
d)
18
25.
Find the missing length.
a)
x = 12
b)
x = 11
c)
x = 15
d)
x = 9