Practice Distance, Midpoint and Gradient

Given two points (x₁, y₁), (x₂, y₂) the distance between them is:

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• 

Tags

CCSS.HSG.GPE.B.7

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

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Tags

CCSS.HSG.GPE.B.6

Find the distance between the points (4, 3) and (0, 6).

• 3
• 4
• 5
• 7

Tags

CCSS.HSG.GPE.B.7

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

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

Tags

CCSS.HSG.GPE.B.6

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)

Tags

CCSS.HSG.GPE.B.6

Find the slope of the line that passes through the points (2, 4) and (6, 12)

• 1/2
• -1/2
• 2
• -2

Tags

CCSS.8.EE.B.6

CCSS.8.F.B.4

CCSS.8.SP.A.3

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

• 1/5
• -1/5
• 5
• -5

Tags

CCSS.8.EE.B.6

CCSS.8.F.B.4

CCSS.8.SP.A.3

Perpendicular lines have the same slope.

• True
• False

Tags

CCSS.HSG.CO.A.1

The slope of perpendicular lines are negative reciprocals

• True
• False

Tags

CCSS.4.G.A.1

CCSS.HSG.CO.A.1

The following two numbers are negative reciprocals of each other
2 and -1/2

• True
• False