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# 10.6 Distance and Midpoint Formulas PowerPoint PPT Presentation

10.6 Distance and Midpoint Formulas. Find the distance between two points on a coordinate plane Find the midpoint between two points on a coordinate plane. Distance Formula. Example. Find the distance between two points: (5, 3) and (1, -2). Example. Find the distance between two points:

10.6 Distance and Midpoint Formulas

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## 10.6 Distance and Midpoint Formulas

Find the distance between two points on a coordinate plane

Find the midpoint between two points on a coordinate plane

### Example

Find the distance between two points:

(5, 3) and (1, -2)

### Example

Find the distance between two points:

(4, 2) and (-3, -1)

### You Try

Find the distance between two points:

(-7, -2) and (-5, -8)

### Page 637 Example 2

The Vaccaro Family is having a home theater system installed. The TV and the seating will be placed in opposite corners of the room. The manufacturer of the TV recommends that for the size of TV that they want, the seating should be placed at least 13 feet away. If each grid square is 1 foot long, is the Vaccaro’s room large enough for the TV?

The front of the TV Screen is located at (1, 11) and the front of the sofa is located at (7,2).

### You Try

The manufacturer of the speakers recommends that they be placed at least 8 feet from the seating. If one of the speakers is being placed at (0, 9), is the Vaccaro’s family room large enough for the speakers?

Page 638 #1-5

Page 639 # 18-30

### Example

Find the coordinates of the midpoint of the segment with endpoints at (-1, -2) and (3, -4).

### Example

Find the coordinates of the midpoint of the segment with the endpoints (12, 3) and (-8, 3).

### You Try

Find the coordinates of the midpoint of the segment with the endpoints (0, 0) and (5, 12).

### Class work

Page 639 # 10 - 17

### Independent Work

Page 639 # 37 - 42