Distance & Midpoint Formula

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

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.

√29 or 5.39

400

Distance of (-3.-1) and (3,4)

What is square root of 61?

500

Distance of (-2,-8) and (3,4)

What is 13?

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)

500

Find the midpoint of the line segment joining A(-1, 4) and B(5, 2)

What is (2, 3)

Word Problems (1)

100

Ryan and Victor are playing jump rope. Ryan is standing at (5,6) and Victor is standing at (2,5). What is the distance between them?

What is √10 or 3.16?

200

Mr. Berkemeier stands at (4,2) and  Skylar is sitting at (2,2). What is the distance between the teacher and Skylar?

What is 2?

300

Brooklyn's phone is ringing in the classroom,(4,7), but she is in the cafeteria,(8,2). What is the distance Brooklyn needs to go to pick up her phone?

What is √41 or 6.4?

400

To get from his home to his girlfriend's home, Cayden must drive around the library. If he drives 3 miles north, then 4 miles east, and finally 5 miles south, what is the straight-line distance between Cayden's home and his girlfriend's home?

What is √20 or 4.47?

500

A skydiver Clayton lands 150 yards west and 30 yards north of a target. A second skydiver Cole lands 45 yards east and 150 yards south of the same target. How far from each other did the two skydivers land?

√70425 or 265.38

Word Problems (2)

100

Sophie was standing in between KFC and McDonalds. If McDonald is located at (4,8) and KFC is located at (-10,-8), where is Sophie located at?

What is (-3,0)?

200

Audrey is standing at (5,8) when two cars from the same distance is driving towards her. One of the car is located at (-1, 3), where is the other car located at?

What is (11,13)?

300

Haddi just got out of school and she can either go to the library or to the mall. If the two places are equidistances from the school, the mall is at (9,2) and the school is at (3,4), where is the library located at?

What is (-3,6)?

400

DAILY DOUBLE !! DAILY DOUBLE!!Samantha is at Disneyland taking pictures with the characters. If SpongeBob is at (-8,3) and Mickey Mouse is at (2,-5), and Samantha is sitting between them, where is Samantha located at?

What is (-3,-1)

500

Brandon is deciding between Zaxby's or Culver's. Culver is at (5,6) and the Zaxby is at (9,-3). If Brandon is standing in between them, where is he?

What is (7,1.5)?

Perimeter

100

Find the perimeter (right triangle). Round to the nearest tenth.

What is 16.3?

200

Find the perimeter (rectangle). Round to the nearest tenth.

What is 24.2?

300

Find the perimeter (trapezoid). Round to the nearest tenth.

What is 25.7?

400

Find the perimeter (triangle). Round to the nearest tenth.

What is 25.7?

500

Find the perimeter (quadrilateral). Round to the nearest tenth.

What is 37.6?