Distance & Midpoint Formula

Finding Distance

100

What is the distance formula?

d=√(x₂-x₁)²+(y₂-y₁)²

200

What is the distance between (8,11) and (8,4)?

7

300

Find the distance between the following set of points

C(12, 6) and D(-8, 18). Round to the nearest tenth if needed. 

23.3

400

Given the points A and B where A is at coordinates ( 2, -5 ) and B is at coordinates ( -3, -7 ) on the line segment AB, find the length of AB. Round to the nearest tenth.

√29 or 5.39

Finding Distance 2

100

What are the steps to finding the distance between 2 points? There are 4 of them. Break down what the formula has you do. 

1) parentheses

2) squaring

3) adding

4) square root

200

Given the points V and Z where 

V is at coordinates (0, 5) and 

Z is at coordinates (12, 3) on the line segment VZ, find the length of VZ. Round to the nearest tenth.

12.2

300

Given the points J and K where 

J is at coordinates (17, -15) and 

K is at coordinates (-4, -12) on the line segment JK, find the length of JK. Round to the nearest tenth.

21.2

400

What is the perimeter of the rectangle who's vertices are at points: A(-2, 4), B(1,3), C(-1, -3), D(-4, -2)? Round to the nearest whole number. (Use graph paper to help you)

19

Finding Midpoint

100

What is the midpoint formula?

M(((x₁+x₂)/2),((y₁+y₂)/2)))

200

Given the points A and B where A is at coordinates ( 2,-5 ) and B is at coordinates ( -3,-7 ) on the line segment AB, find the midpoint of AB.

(-.5,-6)

300

Find the midpoint of the line segment AB where point A is at ( 0, 2 ) and point B is at ( -1, - 4 ).

(-.5,-1)

400

Find the midpoint of the line segment joining the points ( 1, - 4 ) and ( - 4, 2 )

(-1.5,-1)

Disney

100

Everyone knows that Cinderella lost a glass slipper as she left the ball at midnight. But did it fall off her right foot or left foot?

Left foot

200

What is the name of the duet between Rapunzel and Flynn Rider as they sit in a boat with floating lanterns hovering around them?

“I See the Light”

300

Genie from Aladdin complained that being cooped up in a lamp gave him such a crick in the neck. Just how long was he in there?

10,000 years

400

What are the names of Hades minions in Hercules?

Pain and Panic