Parallel Perpendicular Distance and Midpoints

Slope and Parallel and Perpendicular Lines

Parallel vs. Perpendicular

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​***with a Review of Midpoint and Distance​

Multiple Choice

What type of slope?

• undefined

• positive slope

• negative slope

• zero slope

Fill in the Blank

Find the slope given the points A(-3, 1) and B(9,-5).

Fill in the Blank

Find the slope of the line.

Fill in the Blank

What is the slope of the line with the equation $$y\ =\ -\frac{3}{2}x\ +\ 7$$  

Fill in the Blank

What is the slope of the line with the equation:

$$-4x+2y=-10$$  

Multiple Choice

Perpendicular lines make a _____ angle.

• Corresponding

• Vertical

• Right

• Adjacent

Multiple Choice

Parallel lines have the ______ slope.

• Different

• Same

• Negative

• Opposite Reciprocal

Multiple Choice

Perpendicular lines have the ______ slope.

• Different

• Same

• Negative

• Opposite Reciprocal

Multiple Choice

What is the negative reciprocal of 2?

• -2

• $$-\frac{1}{2}$$

• $$\frac{1}{2}$$

• 4

Multiple Choice

What is the slope of a line perpendicular to a line with slope  $$\frac{3}{4}?$$  

• $$-\frac{4}{3}$$  

• $$\frac{4}{3}$$

• $$\frac{3}{4}$$

Multiple Choice

What is the negative reciprocal of slope 0?

• 1

• -1

• Undefined

• 0

Special Cases:

Multiple Choice

Vertical or horizontal?

y = -3

• vertical

• horizontal

• neither

Multiple Choice

Vertical or horizontal?

x = 4

• vertical

• horizontal

• neither

Multiple Choice

Find the slope of a line perpendicular to the line below

y = ½x + 4

• 1/2

• -1/2

• 2

• -2

Multiple Choice

Find the slope of a line parallel to the line below.

y = 2x + 4

• 2

• -1/2

• 1/2

• -2

Fill in the Blank

What is the slope that is perpendicular to the line with the given equation:

$$x+4y=-2$$  

Multiple Choice

Use slope to determine if lines AB and CD are parallel, perpendicular, or neither.

A(-9, -12), B(-9, 2), C(-1, 6), D(-5, 6)

• Parallel

• Perpendicular

• Neither

Multiple Choice

Use slope to determine if lines AB and CD are parallel, perpendicular, or neither.

A(-1, 8), B(2, 6), C(-1, 2), D(3, 3)

• Parallel

• Perpendicular

• Neither

Multiple Choice

Find the distance between (-12, 1) and (12, -1).

• 24.05
• 24.06
• 24.07
• 24.08

Multiple Choice

Find the l

• 9.7
• 10.7
• 11.7
• 12.7

Multiple Choice

One end of a cable is attached to the top of a flag pole and the other end is attached 6 feet away from the base of the pole. The height of the flagpole is 12 feet. What is length of the cable?

• 13.4 ft

• 13.1 ft

• 6 ft

• 10.4 ft

Multiple Choice

Rectangle JKLM is shown. To the nearest tenth, what is the length of JL?

• 5.0 cm

• 10.2 cm

• 15.3 cm

• 21.0 cm

Using the Pythagorean theorem to find the distance

Multiple Choice

Find the distance between (0, 10) and (12, 1).

• 12

• 11

• 15

• 16

​Find the midpoint between the points:

1. (-1, 6) and (7, 10)


2. (0, -7) and (4, -15)

Multiple Choice

Find the midpoint of the segment with the endpoints:(4, 12) and (-6, 14)

• (-1, 13)
• (13, 1)
• (13, -1)
• (5, 13)

Multiple Choice

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

• (2,3)

• (-1,2)

• (5,-3)

• (3,2)