Slide 1

Homework: Distance & Midpoint WorksheetBig quiz on Thursday

Warm-Up:

Think back to 8th grade

1) 13.42) 5.7What 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.ANSWERS1)(2, 3) and (10, 3)

ANSWERS2)(-2, 6) and (-2, -2)

ANSWERS3)(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)

MidpointFind 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?

Lets try

Lets try

Lets 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 = d2

YOU TRY!!Find the distance between:A. (2, 7) and (11, 9)

B. (-5, 8) and (2, - 4)

Connections toEOG/EOC Assessment:B

(-1, 1)

(-6, -1)

(11, -6)

(9, 10)Extra PracticeDistance 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)ANSWERS1) (5, 3) and (2, 7)

ANSWERS2) (-3, 0) and (5, -4)

ANSWERS3) (-2, 5) and (7, 5)

ANSWERS4) (3, -4) and (6, 2)

ANSWERS5) (-3, 5) and (-3, -5)