1. Warm Up 1. Graph A (–2, 3) and B (1, 0). 2. Find CD. 8 3. Find the coordinate of the midpoint of CD. –2 4. Simplify. 4

2. Coordinate Plane: x - axis y - axis Example 1 Find the coordinates of the midpoint of EF with endpoints E(–2, 3) and F(5, –3). Plane that is divided into four regions by a horizontal line ( ) and a vertical line ( )

3. Example 2 S is the midpoint of RT. R has coordinates (–6, –1), and S has coordinates (–1, 1). Find the coordinates of T. Step 1 Let the coordinates of T equal (x, y). Step 2 Use the Midpoint Formula: Step 3 Find the x-coordinate. –2 = –6 + x 4 = x 2 = –1 + y 3 = y The coordinates of T are (4, 3).

4. Example 3 Find EF and GH. Then determine if EF  GH. E(–2, 1), F(–5, 5), G(–1, –2), H(3, 1)

5. Legs: Hypotenuse: Two sides of rt. Δ that form rt  Side opposite of rt , longest of all sides, usually C

6. Example 4 Use the Distance Formula and the Pythagorean Theorem to find the distance, to the nearest tenth, from R to S. R(3, 2) and S(–3, –1) a = 6 and b = 3. c 2 = a 2 + b 2 = 6 2 + 3 2 = 45

7. A player throws the ball from first base to a point located between third base and home plate and 10 feet from third base. What is the distance of the throw, to the nearest tenth? Example 5 The target point P of the throw has coordinates (0, 80). The distance of the throw is FP. P Pg. 47 __________________________________________________