Date post: | 17-Jan-2016 |
Category: |
Documents |
Upload: | camron-mckinney |
View: | 220 times |
Download: | 0 times |
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)