Homework: Distance & Midpoint Worksheet Big quiz on Thursday Warm-Up:

Think back to 8 th grade… 1) ) 5.7

What is a midpoint? A point in the middle!

Find the point that is half way between the given points. Use a graph to help determine the coordinates of the new point. 1)(2, 3) and (10, 3) 2)(-2, 6) and (-2, -2) 3)(1, -3) and (5, 7) Write a rule to find the coordinates of the point half way between two given points.

ANSWERS 1)(2, 3) and (10, 3)

ANSWERS 2)(-2, 6) and (-2, -2)

ANSWERS 3)(1, -3) and (5, 7)

To find the midpoint: Average the x-values Average the y-values This gives you a point in the middle (x, y)

Midpoint Find the midpoint between A(4,8) and B(1,12)

YOU TRY!! Find the midpoint between: A) (2, 7) and (14, 9) B) (-5, 8) and (2, - 4)

How would you find the distance “as the crow flies”?

Brainstorm: How could we find the distance of each segment?

Let’s try

Can we think of an easier way to do this?

Brainstorm: Is there an easier way to find the distance?

The distance formula: (subtract x) 2 + (subtract y) 2 = d 2

YOU TRY!! Find the distance between: A. (2, 7) and (11, 9) B. (-5, 8) and (2, - 4)

Connections to EOG/EOC Assessment:

Extra Practice

Distance Formula Find the distance between the following pairs of points: Put your answers in simplest radical form. 1) (5, 3) and (2, 7) 2) (-3, 0) and (5, -4) 3) (-2, 5) and (7, 5) 4) (3, -4) and (6, 2) 5) (-3, 5) and (-3, -5)

ANSWERS 1) (5, 3) and (2, 7)

ANSWERS 2) (-3, 0) and (5, -4)

ANSWERS 3) (-2, 5) and (7, 5)

ANSWERS 4) (3, -4) and (6, 2)

ANSWERS 5) (-3, 5) and (-3, -5)