1. Warm Up R B Y U Given: E is the midpoint of MB and LA 1. LA = 16 and EA = 3x – 7 Find x and LE. 2. ME = 7x – 1 and EB = 5x+23 Find x and MB. Given: UB bisects  RUY 3. m  RUB = 5y+3 and m  BUY = 7y-11 Solve for y and m  RUY. 4. m  RUB = 3x + 17 and m  RUY = 8x + 6 Solve for x and m  RUY. M E LB A

3. Have you ever been to New York City? NYC is an excellent example of a rectangular plan. What does this map remind you of? Hint: it’s something you use quite often in math A COORDINATE GRAPH!

5. DISTANCE FORMULA

6. How do we get the Distance Formula from the Pythagorean Theorem? The horizontal distance is the difference in x- coordinates: (x 2 – x 1 ) The vertical distance is the difference in y- coordinates: (y 2 – y 1 ) The Pythagorean Theorem says Taking the square root of both sides gives

7. MIDPOINT FORMULA

8. PRACTICE these formulas a. Find the distance between each pair of points. b. Find the midpoint of each pair of points. 1) (2, 3) and (5, 7) 2) (-1, 3) and (5,-8)