Coordinate Proofs in Geometry

Coordinate Geometry (Proofs) Prerequisites

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Multiple Choice

Find the rate of change

• 3
• -3
• -1/3
• 1/3

Multiple Choice

Find the slope:

• 3/4
• 4/3
• -3/4
• -4/3

Multiple Choice

What is the slope in the picture?

• Positive
• Negative
• Zero
• Undefined

Multiple Choice

What type of slope?

• undefined
• positive slope
• negative slope
• zero slope

Multiple Choice

What type of slope?

• negative
• steep
• undefined
• zero slope

Multiple Choice

Find the slope of the line.

• -5/4
• 5/4
• -4/5
• 4/5

Multiple Choice

What is the slope of the line that passes through the points (-4, -1) and (-2, -5)?

• 1/2

• -1/2

• 2

• -2

Multiple Choice

Find the slope given the points (3,18) and (0,18).

• undefined

• 0

• 22

• 6

Multiple Choice

Find the slope given the points (-5,-3) and (-5,4).

• 5/4

• 0

• -1

• 1

• Undefined

Multiple Choice

Find the slope given the points (-2,-9) and (-1,-3). 

• 4
• -1/6
• -6
• 6

Multiple Choice

Find the slope given the points (2, −7) and (−1, 6). 

• -13/3
• 13/3
• 0
• 2/3

Multiple Choice

What does "m" stand for in the slope formula?

• y axis

• slope

• y coordinate

• x coordinate

Multiple Choice

The distance formula is another way to write which of the following?

• quadratic formula

• slope formula

• Pythagorean theorem

• none of these answers

Multiple Choice

Find the distance between (-3, -11) and (8, -42).

• 32.1
• 32.3
• 32.7
• 32.9

Multiple Choice

Find the distance.

• 9.7
• 10.7
• 11.7
• 12.7

Multiple Choice

How is AB written in the distance formula?

• 
  $$d\ =\ \sqrt{\left(5-3\right)^2\ +\ \left(0--2\right)^2}$$
  

• $$d\ =\ \sqrt{\left(2-5\right)^2\ +\ \left(3\ -0\right)^2}$$

• $$d\ =\ \sqrt{\left(5-3\right)^2\ -\ \left(0--2\right)^2}$$

• $$d\ =\ \sqrt{\left(4-3\right)^2\ -\ \left(2-4\right)^2}$$

Multiple Choice

What is the distance between AB

• 0

• 8

• 9

• 7

Multiple Choice

What is the distance between AB

• 0

• 8

• 9

• 7

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 an imaginary diagonal AC of ABCD.

• (1, 3)
• (5, 4)
• (6, 4)
• (0, 4)

Multiple Choice

What is the midpoint between (3, -1) and (7, -5)

• (5, -2)
• (10, -6)
• (5, -3)
• (2, -2)

Multiple Choice

Find the endpoint of the segment with the endpoint of (-4, 5) and midpoint of (7, -9)

• (18, 13)

• (13, 18)

• (11,4)

• (1.5, -2)

Multiple Choice

Point M with coordinates (3,4) is the midpoint of the line AB and A has the point (-1,6). What is the point of B?

• (1,5)
• (2,10)
• (7,2)
• (1,2)