1. M(G&M)–10–9 Solves problems on and off the coordinate plane involving distance, midpoint, perpendicular and parallel lines, or slope GSE: M(G&M)–10–2 Makes and defends conjectures, constructs geometric arguments, uses geometric properties, or across disciplines or contexts (e.g., Pythagorean Theorem G-CO.1 Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on the undefined notions of point, line, distance along a line, and distance around a circular arc.

2. AB Point A is at 1.5 and B is at 5. 15 = 3.5 So, AB = 5 - 1.5 = 3.5

3.  Find the measure of PR  Ans: |3-(- 4)|=|3+4|=7  Would it matter if I asked for the distance from R to P ?

4.  1) Pythagorean Theorem- Can be used on and off the coordinate plane 2) Distance Formula – only used on the coordinate plane

5. * Only can be used with Right Triangles What are the parts to a RIGHT Triangle? 1. Right angle 2. 2 legs 3. Hypotenuse Right angle LEG Leg – Sides attached to the Right angle Hypotenuse- Side across from the right angle. Always the longest side of a right triangle.

7. Make a right Triangle out of the segment (either way) Find the length of each leg of the right Triangle. Then use the Pythagorean Theorem to find the Original segment JT (the hypotenuse).

8. Find the length of CD using the Pythagorean Theorem 10 8 We got 8 by | -4 – 4| We got 10 by | 6 - - 4|

9.  Find the missing segment- Identify the parts of the triangle 5 in 13 in Ans: 5 2 + X 2 = 13 2 Leg 2 + Leg 2 = Hyp 2 hyp Leg 25 + X 2 = 169 X 2 = 144 X = 12 in

10. Lets Use the Pythagorean Theorem

11. Identify one as the 1 st point and one as the 2 nd. Use the corresponding x and y values (4-(-3)) 2 + (2-(5)) 2 (4+3) 2 + (2-5) 2 (7) 2 +(-3) 2 49+9 = 58 ~ 7.6 ~ J (-3,5) T (4,2) d = x 1, y 1 x 2, y 2

12.  Find the length of the green segment Ans: 109 or approximately 10.44

13.  Segments that have the same length. If AB & XY have the same length, Then AB=XY, but AB XY for congruent Symbol for congruent