Distance and Midpoint Review

Which of the following is the correct formula in finding the distance between two points?

• $AB=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}$

• $AB=\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2$

• $AB=\sqrt{\left(x_2-x_1\right)+\left(y_2-y_1\right)}$

• $AB=\left(x_2-x_1\right)+\left(y_2-y_1\right)$

Tags

CCSS.HSG.GPE.B.7

This distance formula was derived from the ______________.

• Vertical Angles Theorem

• Pythagorean Theorem

• Supplements Theorem

• Perpendicular Bisector Theorem

Tags

CCSS.HSG.GPE.A.1

CCSS.HSG.GPE.B.7

If two segments have equal lengths, then they are considered what?

 $\left(-5\right)^2$  is equal to _________.

Tags

CCSS.6.EE.A.1

What is the distance between the points

 $\left(1,1\right)$  and  $\left(4,5\right)$  ?

•  $\sqrt{20}$  units

•  $\sqrt{13}$  units

•  $5$  units

•  $\sqrt{61}$  units

Tags

CCSS.HSG.GPE.B.7

What do you call the point that bisects or divides a line segment into two congruent segments?

Which of the following is the correct formula in finding the coordinates of the midpoint of a segment given its endpoints?

• $M\left(\frac{x-y}{2}\right)\text{}$

• $M\left(\frac{x+y}{2}\right)$

• $M\left(\frac{x_2-x_1}{2}\ ,\ \frac{y_2-y_1}{2}\right)$

• $M\left(\frac{x_1+x_2}{2}\ ,\ \frac{y_1+y_2}{2}\right)$

Tags

CCSS.HSG.GPE.B.6

Solving for the coordinates of the midpoint of a segment is the same as getting the _____________ of the x and y coordinates of the endpoints.

What are the coordinates of the midpoint of a segment whose endpoints are at $\left(3,-7\right)$ and  $\left(-5,1\right)$  ? 

•  $\left(-1,-3\right)$  

•  $\left(1,3\right)$  

•  $\left(-2,-6\right)$  

•  $\left(2,6\right)$  

Tags

CCSS.HSG.CO.D.12

CCSS.HSG.GPE.B.6

The midpoint of

 $\overline{YS}$  is at  $E\left(2,4\right)$  . If one of the endpoints is at  $Y\left(0,2\right)$  , what are the coordinates of the other endpoint?

•  $S\left(-2,0\right)$  

•  $S\left(-2,-4\right)$  

•  $S\left(4,6\right)$  

•  $S\left(4,8\right)$  

Tags

CCSS.HSA.REI.C.6

CCSS.HSG.GPE.B.6