Warm Up 1. Graph A (–2, 3) and B (1, 0).

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

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

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 2 Use the Midpoint Formula: Step 1 Let the coordinates of T equal (x, y). Step 3 Find the x-coordinate. 2 = –1 + y –2 = –6 + x 3 = y 4 = x The coordinates of T are (4, 3).

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

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

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. c2 =a2 + b2 =62 + 32 =45

P Example 5 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? The target point P of the throw has coordinates (0, 80). The distance of the throw is FP. Pg. 47 __________________________________________________

Warm Up 1. Graph A (–2, 3) and B (1, 0).