Coordinate Geometry Review

Coordinate Geometry Review

Multiple Choice

Which of the following is the correct midpoint formula given two endpoints (x₁, y₁) and (x₂, y₂)?

Multiple Choice

Find the midpoint of the segment on the graph. (Hover over picture to expand)

• (1,0)

• (7,-9)

• (4,-3)

• (-1,2)

Multiple Choice

Find the midpoint of the line segment with the given endpoints (-2,-6) and (8,8)

• (-4,8)

• (18,22)

• (3,1)

• (-5,-7)

Multiple Choice

Find the other endpoint of the line segment with the given endpoint and midpoint. Endpoint: (8, 2) Midpoint: (5.45, -7.2)

• (2.9, -16.4)

• (-1, -2.5)

• (5, -0.875)

• (1.275, 4.6)

Multiple Choice

Find the other endpoint of the line segment with the given endpoint and midpoint. Endpoint: (-9, -5) Midpoint: (-9, 0)

• (-7.5, -8)

• (-7, -4.5)

• (0, -2.5)

• (-9, 5)

Multiple Choice

√63

• 3√6

• 3√4

• 3√5

• 3√7

Multiple Choice

√169

• √13

• 13

Multiple Choice

Simplify:  $\frac{5}{\sqrt{10}}$  

•  $\frac{1}{2}$  

•  $\frac{5\sqrt{2}}{2}$  

•  $\frac{\sqrt{10}}{2}$  

•  $\sqrt{5}$  

Multiple Choice

√24

• 4√6

• 2√6

• 6√2

• 2√12

Multiple Choice

Simplify:  $\sqrt{\frac{5}{2}}$  

•  $\sqrt{10}$  

•  $\frac{\sqrt{10}}{2}$  

•  $\frac{\sqrt{5}}{2}$  

•  $\sqrt{5}$  

Multiple Choice

Find the distance.

• 7.1
• 7.8
• 8.7
• 8.9

Multiple Choice

What is the distance between the two points?

• 6.3
• 6.5
• 6.7
• 16

Multiple Choice

What's the distance between (-3,4) and (-3, -10)?

• 14
• -14
• 6
• -6

Multiple Choice

What's the distance between (-11,4) and (4,4)?

• -15
• 15
• 7
• -7

Multiple Choice

Find the slope through these two points.

• -8/3

• 8/3

• -2/3

• 2/3

Multiple Choice

Find the slope through these two points.

• Zero

• Undefined

• 3/10

• -3/10

Multiple Choice

Find the slope through these two points.

• Zero

• Undefined

• -1/2

• 1/2

Multiple Choice

What is the slope of the line?

• 3/2

• -3/2

• 2/3

• -2/3

Multiple Choice

What is the slope of the line?

• Zero

• Undefined

• 1

• -1

Multiple Choice

What is the slope of the line?

• Undefined

• Zero

• -1

• 1

Multiple Choice

What is the slope of the line

• -2/3

• 2/3

• 3/2

• -3/2

Multiple Choice

Find the slope of the line that passes through
(10, 1) and (5, 2)

• 1/5
• -1/5
• 5
• -5

Multiple Choice

The line with the equation

y + 1 = -3(x - 5),

contains the point (5, -1)

and has a slope of _______.

• -1

• 1

• -3

• 5

Multiple Choice

Write the equation in point-slope form

of the line that passes through the point

(4, -7) and has a slope of -1/4.

• y + 7 = -1/4(x - 4)

• y - 4 = -1/4(x + 7)

• y + 7 = 4(x - 4)

• y - 7 = -1/4(x - 4)

Multiple Choice

Write the equation in point-slope form

for the line that contains the points

(3, -5) and (5, - 1)

• y - 5 = 2(x + 3)

• y + 5 = 2(x - 3)

• y - 3 = 2(x + 5)

• y + 3 = 2(x - 5)

Multiple Choice

Write the equation of the line.

• y = -1/3x - 2
• y = 1/3x - 2
• y = 3x - 2
• y = -3x - 2

Multiple Choice

What is the equation of this line?

• y = 2x +2
• y = 2x -2
• y = -x + 2
• Cannot be Determined

Multiple Choice

Name the equation that is represented by the graph.

• y=2x+4

• y=-2x+4

• y=2x-4

• y=-2x-4

Multiple Choice

y = -2/3x + 2
y = 3/2x + 9
These lines are...

• Parallel
• Perpendicular
• Neither

Multiple Choice

y = 6x + 2
y = -6x + 2
These lines are...

• Parallel
• Perpendicular
• Neither

Multiple Choice

y = 5/7x +2
y = 5/7x - 30
These lines are...

• Parallel
• Perpendicular
• Neither

Multiple Choice

Which of these lines are parallel to each other:
1) y = 5x -1
2) y = x/5
3) y= -x/5 +11

• 1 & 2
• 2 & 3
• 1 & 3
• None of them

Multiple Choice

Which of the following lines goes through the point        (-3, 4) and is perpendicular to  y = 3/2x + 6?

• y = 3/2x - 6
• y = 2/3x + 3
• y = -2/3x - 2
• y = -2/3x + 2

Multiple Choice

Which line(s) are parallel to y=3x+1

• y= -3x -1
• y=-1/3+3
• y=3x
• None of them

Multiple Choice

Write the equation of a line that passes through the point (2, 6) and is perpendicular to the line y = -4x + 8.

• y = 1/4x + 5.5

• y = 4x + 6

• y = -1/4x + 8

• y = -4x + 8