Patterns
Midpoint
Vocab
Midpoint word problems
Segment Addition
100

Patterns are an example of this.

Inductive Reasoning

100
What is the midpoint formula?
M(((x₁+x₂)/2),((y₁+y₂)/2)))
100

A collection of points that continues on forever in both directions.

A line

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)
100

AB = 12, BC = x, AC = 20. What is BC?

BC = 8

200

Find the next three terms in the pattern: 2, -6, -14, . . .

-22, -30, -38

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)
200

It has an endpoint and continues on forever in one direction.

Ray

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)
200

AC = 3x + 2, BC = 30, AB = x - 4. What is x?

x = 12

300

Make a conjecture about the sequence: 

6, -12, 24, -48

It is being multiplied by -2 each time.

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)
300

It is part of a line with two endpoints.

(Line) Segment

300

Tommy's phone is ringing in the bedroom (4,7), but he is in the living room (8,2). What is the midpoint between the two locations?

(6, 4.5)

300

C is the midpoint of BD. If CD = 2x + 10, BC = 20, what is x?

x = 5
400

True or False: You can prove with inductive reasoning.

False

400
Find the midpoint of the line segment joining the points ( 1, - 4 ) and ( - 4, 2 )
(-1.5,-1)
400

A location with no size or space.

A point

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)
400

AB is congruent to BC. If AB = 10x - 4 and BC = 36, what is x?

x = 4

500

Determine the next term in the pattern:

49, 36, 25, . . .

16

500

M is the midpoint of AB. The coordinates of A are (-2,3) and the coordinates of M are (1,0). Find the coordinates of B.

(4,-3)

500

A flat surface made of at least three points that continues in all directions forever.

A plane

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)
500

AB = 3x + 10, BC = 2x - 5. AC = 2x + 14. What is the length of AC?

AC = 20

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