1. Warm Up Find the midpoints: 1.(7,1) and (17, 9) 2.(6, 5) and (6, 3) 3.(8, 24) and (15, 13)

2. Today’s Objective SWBAT use the Distance formula in order to find the length of a segment Homework: Pg 19 #17-33 odd

3. Find the Midpoint The endpoints of RS are R(0,4) and S(4,3). Find the midpoint M of RS. The midpoint of JK is M(1,4). One endpoint is J(5,1). Find the endpoint K.

4. Homework Questions

5. To identify basic shapes and figures in Geometry Warm Up√ Homework: Pg 19 #17-33 Odd Anticipatory Set Midpoint Formula Questions Distance Formula Closure

6. Anticipatory Set What is the Pythagorean Theorem?

7. To identify basic shapes and figures in Geometry Warm Up√ Homework: Pg 19 #17-33 Odd√ Anticipatory Set √ Midpoint Formula Questions Distance Formula Closure

8. To identify basic shapes and figures in Geometry Warm Up√ Homework: Pg 19 #17-33 Odd√ Anticipatory Set √ Midpoint Formula Questions √ Distance Formula Closure

9. Distance Formula The distance formula for finding the length between 2 points is:

10. Find the distance between 2 points, round to the nearest tenth of a unit P(1,2) and Q(5,4) Q(-3,5) and R(2,3)

11. SOLUTION EXAMPLE 4 Standardized Test Practice Use the Distance Formula. You may find it helpful to draw a diagram.

12. EXAMPLE 4 Standardized Test Practice Distance Formula Substitute. Subtract. Evaluate powers. Add. Use a calculator to approximate the square root. (x – x ) + (y – y ) 2 2 2 21 1 RS= [(4 – 2)] + [(–1) –3] 22 = (2) + (–4 ) 22 = 4+16 = 20 = 4.47 = The correct answer is C. ANSWER

13. GUIDED PRACTICE for Example 4 5. In Example 4, does it matter which ordered pair you choose to substitute for (x, y ) and which ordered pair you choose to substitute for (x, y ) ? Explain. 1 2 1 2 No, when squaring the difference in the coordinate you get the same answer as long as you choose the x and y value from the some period ANSWER

14. GUIDED PRACTICE for Example 4 6. What is the approximate length of AB, with endpoints A(–3, 2) and B(1, –4)? 6.1 units 7.2 units 8.5 units 10.0 units Distance Formula Substitute. Subtract. (x – x ) + (y – y ) 2 2 2 21 1 AB = [2 –(–3)] + (–4 –1) 2 2 = (5) + (5 ) 22 = Use the Distance Formula. You may find it helpful to draw a diagram. SOLUTION

15. GUIDED PRACTICE for Example 4 Evaluate powers. Add. Use a calculator to approximate the square root. 25+25 = 50 = 7.2 = The correct answer is BANSWER

16. To identify basic shapes and figures in Geometry Warm Up√ Homework: Pg 19 #17-33 Odd√ Anticipatory Set √ Midpoint Formula Questions √ Distance Formula √ Closure

17. Let’s Review the Vocabulary M is the midpoint of VW. Find the length of VM. M W V 4x-13x+3