The midpoint, coordinates, and length

Question

Complete the table below using the Midpoint and Distance Formulas. 

Given: M is the midpoint of  𝐴𝐵⎯⎯⎯⎯⎯⎯⎯⎯AB¯  and A is the midpoint of  𝑀𝐵1⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯MB1¯ 

Diagonal Line Segment
Coordinates of A	(-12,4)
Coordinates of M	(12,11)
Coordinates of B	(   ,   )
Coordinates of B1	(   ,   )
Length of AB
Length of AB1

Answer 1

Hi DeShawn,

When given coordinates, remember to graph them (x across, y vertically)

Are you given two coordinates? graph and label them.!!! Sketch the triangle. Remember, this is a right triangle. Draw a tiny box in the right corner.

What do you remember about the distance formula?

EX: S(-3,2) and Q(4, 5)

distX = | xs -sq | = |-3-4| = |-7| (Here use the absolute value) distX=7 (bottom length)

distY = | 2 - 5 | = |-3| = 3 (side length)

What do you remember about pythagoreans theorem that can help you solve this?

a² +b² =c²

3² +7² = c²

What is the value of c? How does it help you complete the table?

Use the midpoint theorem to finish up! I bet you will find it in the back of your book or you can google it.

You are halfway there!