Midpoint Formula Review

Vocabulary

100

What is it called when geometric figures have exactly the same shape and size?

congruent

200

What is the point halfway between the endpoints of a segment called?

midpoint

300

What is it called when you divide/cut something into two equal parts?

bisect

400

What are segments that have the same measure called?

congruent segments

500

What is any segment, line, or plane that intersects a segment at its midpoint called?

segment bisector

Midpoint Formula

100

Find the midpoint of segment WG if W(14,8) and G(-6,4). 

(4,6)

200

Find the midpoint of segment AB if A(-7,-9) and B(9,3). 

(1,-3)

300

Find the coordinates of H is M(20,-2) is the midpoint of segment EH and E has coordinates (6,-4).

(34,0)

400

Point M is located at (3,6) and point N is at (-1,4). Point N is the midpoint of segment MR. What are the coordinates of point R?

(-5,2)

500

Find the measure of LM if M is the midpoint of LN and LM = 3x-2 and MN = 2x+1. 

LM = 7

Random

100

Find the midpoint of segment AB if A(8,-9) and B(0,5).

(4,-2)

200

What is the Slope Formula

M = (Y₂ - Y₁)/(X₂ - X₁)

300

Parallel lines have the ____________ slope. 

same

400

What is the midpoint formula?

M(((x₁+x₂)/2),((y₁+y₂)/2)))

500

Perpendicular lines have ________________ ______________ slopes. 

opposite reciprocal 

Midpoint Word Problems

100

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

(-3,0)

200

Sharon 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?

(11,13)

300

Henry just got out of school and he 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?

(-3,6)

400

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

(-3,-1)

500

Lily is deciding between dessert or Teaway. Teaway is at (5,6) and the dessert house is at (9,-3). If Lily is standing in between them, where is she?

(7,1.5)