Midpoint & Distance Formula Review

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

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What is the midpoint of the segment with endpoints (1, 9) and (-3, 5)?

• (-1, 7)

• (2, 7)

• (7, -1)

• (2, 2)

Tags

CCSS.HSG.GPE.B.6

Find the y-coordinate of the midpoint of the line

• 1
• 2
• -2
• 3

Tags

CCSS.HSG.GPE.B.6

How is finding the length of segment AB written in the distance formula?

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

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

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

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

On the coordinate plane, which line is the y-axis?

• Horizontal Line (Side to Side)
• Vertical Line (Up and Down)

Tags

CCSS.4.G.A.1

What letter is at (7, -6)?

• D
• L
• X
• There is no letter at those coordinates.

Tags

CCSS.5.G.A.1

How is the distance formula correctly written:

• $d\ =\ \sqrt{\left(y_{1\ }-\ y_2\right)^2\ -\left(x_{2\ }-\ x_1\right)^2}\$

• $d\ =\ \sqrt{\left(x_{2\ }-\ x_1\right)^2\ +\ \left(y_{2_{\ }}-\ y_1\ \right)^2}$

• $d\ =\ \sqrt{\left(y_{1\ }-\ y_2\right)^2\ +\ \left(x_{2\ }-\ x_1\right)^2}$

• d = $\sqrt{\left(x\right)^2-\ \left(y\right)^2}$

Tags

CCSS.HSG.GPE.B.7

Given the points A(3,1) and B(-2,-1), how would write them  correctly in the distance formula?

• $\sqrt{\left(-2-3\right)^2\ +\ \left(-1-1\right)^2}$

• $\sqrt{\left(1-3\right)^2\ +\ \left(-1-2\right)^2}$

What is the distance between AB?

• 0

• 5

• 4

Tags

CCSS.6.G.A.3

CCSS.6.NS.C.8

Find the distance between (12, -5) and (2, -5).Round to the nearest tenth if necessary.

• 14.1

• 10

• 8.4

• 14