1. Lesson opener 1. Name the plane 3 different ways. 2. Name line l differently. 3. Name 3 segments on line h. 4. Name a pair of opposite rays. 5. Name 3 collinear points. M DCB A E l h

2. Benchmark 2 I can use the distance formula and midpoint formula.

3. Simplify Radicals Like Cards Pairs√Hand √12 12 2 34 2 √2 2 ●3 2√3

4. Practice Simplifying Radicals 1. √63 4. 5√503. 3√28 2. √200 25√2 10√23√7 6√7

5. Distance Formula D=√(x 2 -x 1 ) 2 +(y 2 -y 1 ) 2 for points (x 1,y 1 ), and (x 2,y 2 ). Find the length of AB where A(2,3) and B(-4,8). √(-4-2) 2 +(8-3) 2 √(-6) 2 +(5) 2 √36+25 √61

6. D=√(x 2 -x 1 ) 2 +(y 2 -y 1 ) 2 for points (x 1,y 1 ), and (x 2,y 2 ). Find the distance between (2, -1) and (5, 3) √(5-2) 2 +(3+1) 2 √(3) 2 +(4) 2 √9+16 √25 =5

7. Midpoint Formula (, ) –for points (x 1,y 1 ) and (x 2,y 2 ). Find the midpoint of (2,3) and (-4,8). (, ) x 1 +x 2 2 y 1 +y 2 2 2+(-4) 2 3+8 2 =(, ) -2 2 11 2 =(, ) 11 2

8. (, ) Find the midpoint of (9,3) and (-5,-7). Find the midpoint of (-2,-4) and (-6,-12). x 1 +x 2 2 y 1 +y 2 2 (2,-2) (-4,-8)

9. (, ) The midpoint of a segment is (1,-4) and one endpoint is (5,-6). Find the other endpoint. The midpoint of a segment is (2,5) and one endpoint is (7,5). Find the other endpoint. x 1 +x 2 2 y 1 +y 2 2 (-3,-2) (-3, 5)