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# Alg2 lesson 8-1

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### Alg2 lesson 8-1

1. 1. What point is midway between -7 and 5? 7 5 2 1 2 2
2. 2. What point is midway between (-3, 1) and (5, 4)? (1, 2.5) 3 5 2x 1 2 2 1 4 5y or 2.5 2 2
3. 3. Pythagorean Theorem:a 2 + b 2 = c2 c4 2 + 5 2 = c2 416 + 25 = c241 = c2 5c = 41
4. 4. Find the distance between (1, 1) and (4, 5) 3 2 + 42 = c2 9 + 16 = c2 4 25 = c2 c= 5 3
5. 5. Pythagorean Theorem:a 2 + b 2 = c2c 2 = a 2 + b2c = a2 + b2
6. 6. Find the distance between (-4, 3) and (1, -5)(-4 – 1)2 + (3 – -5)2 = c2(-5)2 + (8)2 = c225 + 64 = c2 589 = c2c = 89 8
7. 7. Find the distance between (5, 3) and (-2, -4)(5 – -2)2 + (3 – -4)2 = c2(7)2 + (7)2 = c249 + 49 = c2 798 = c2c = 98 = 7 2 7