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1-3: Distance and Midpoint. Find the distance between (0,2) and (7,9)

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Presentation on theme: "1-3: Distance and Midpoint. Find the distance between (0,2) and (7,9)"— Presentation transcript:

1 1-3: Distance and Midpoint

2 Find the distance between (0,2) and (7,9)

3 Distance Formula: Find the distance between each set of points EX 1: (0,3) and (-4,8)EX 2: (9,7) and (1,-2)

4 EX 3: The library is located in the center of town. To get from the library to the elementary school, you go 1.2 miles north on Walker Drive then take a left on Adams Avenue and drive 3.2 miles. What is the distance from the library to the elementary school as the crow flies?

5 Midpoint formula: To find the midpoint between two points, average the y coordinates and average the y- coordinates.

6 EX 4: Find the midpoint of a segment with endpoints at (2,3) and (-7, 9) EX 5: The midpoint of segment PQ is R. If P is at (-1,0), and R is at (5,6), what are the coordinates of Q?

7 EX 6: Wilmington, NC is located at 34°16’ N, 77°55’ W and Raleigh, NC is located at 35°52’ N and 78° 47’ W. What is the latitude and longitude of the point exactly halfway between Wilmington and Raleigh? (Hint: 1°=60’)

8 Assignment: p. 25 REGULAR: 19-23, 27,28 – Use Pythagorean Thm or distance formula 31-41 – Midpoint HONORS: 19-25 odd – Use pythagorean Thm or distance formula 31-41 odd – Midpoint 46, 50-53 – Word Problems (DO NOT SKIP)


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