Distance and Midpoint Formulas Practice

Authored by Tyler Heck

Mathematics

10th Grade

CCSS covered

Used 31+ times

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15 questions

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MULTIPLE CHOICE QUESTION

3 mins • 2 pts

What is the formula to calculate the midpoint of a line segment with endpoints (x1, y1) and (x2, y2)?

$\left(x_1+x_2,\ y_1+y_2\right)$

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

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

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

Tags

CCSS.HSG.GPE.B.6

MULTIPLE CHOICE QUESTION

3 mins • 2 pts

What is the formula to calculate the distance between two points?

$\left(x_1+x_2,\ y_1+y_2\right)$

$\sqrt[]{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}$

$\sqrt[]{\left(x_1-x_2\right)^2+\left(y_1-y_2\right)^2}$

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

Tags

CCSS.HSG.GPE.B.7

MULTIPLE CHOICE QUESTION

3 mins • 2 pts

What is the distance between the points A(2, 3) and B(6, 7)?

3√2

4√2

Tags

CCSS.HSG.GPE.B.7

MULTIPLE CHOICE QUESTION

3 mins • 2 pts

Find the distance.

7.1

7.8

8.7

8.9

Tags

CCSS.HSG.GPE.B.7

MULTIPLE CHOICE QUESTION

3 mins • 2 pts

What is the distance between the two points?

6.3

6.5

6.7

Tags

CCSS.HSG.GPE.B.7

MULTIPLE CHOICE QUESTION

3 mins • 2 pts

A treasure map shows two landmarks at coordinates (3, 5) and (11, 13). How far apart are these landmarks?

6√2

4√2

8√2

Tags

CCSS.HSG.GPE.B.7

MULTIPLE SELECT QUESTION

3 mins • 2 pts

If the distance between two points is 10 and one point is at (2, 3), which of the following could be the other point?

(2, 13)

(12, 3)

(2, -7)

(12, 13)

Tags

CCSS.HSG.GPE.B.7

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Distance and Midpoint Formulas Practice

What is the formula to calculate the midpoint of a line segment with endpoints (x1, y1) and (x2, y2)?

What is the formula to calculate the distance between two points?

What is the distance between the points A(2, 3) and B(6, 7)?

Find the distance.

What is the distance between the two points?

A treasure map shows two landmarks at coordinates (3, 5) and (11, 13). How far apart are these landmarks?

If the distance between two points is 10 and one point is at (2, 3), which of the following could be the other point?

The distance between the points (0, 0) and (150, 200) is ____.

The coordinates of three vertices of a rectangle are H(0, 0), I(8, 0), and J(8, 6). Find the coordinates of the fourth vertex.

The coordinates of the point halfway between (0, 0) and (150, 200) are ____.

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