Distance on a coordinate plane

a b c e f g d h Alternate Interior angles Alternate exterior angles corresponding angles supplementary angles

Y X Graph the ordered pairs (2,0) and (6,-6) Determine the distance between the two points using the Pythagorean theorem Round your answer to the nearest tenth. 6 b a 4 c a 2 + b 2 = c = c = c 2 52 = c 2 √ 52 = 7.2

Y X Graph the ordered pairs (3,1) and (10,-2) Determine the distance between the two points using the Pythagorean theorem Round your answer to the nearest tenth. 7 b a 3 a 2 + b 2 = c = c = c 2 58 = c 2 √ 58 = 7.6 c

Distance formula d = √ (x 2 – x 1 ) 2 + (y 2 – y 1 ) 2

d = √ (3 – 2.5) 2 + (4.5 – 3.5) 2 d = √ (x 2 – x 1 ) 2 + (y 2 – y 1 ) 2 Find the distance between the points (2.5, 3.5) and (3, 4.5) x 1, y 1 x 2, y 2 d = √ (0.5) 2 + (1) 2 d = √ d = √ 1.25 d = 1.12

d = √ (-2.5 – 2.5) 2 + (-1.5 – 3) 2 d = √ (x 2 – x 1 ) 2 + (y 2 – y 1 ) 2 Find the distance between the points (2.5, 3) and (-2.5, -1.5) x 1, y 1 x 2, y 2 d = √ (-5) 2 + (-4.5) 2 d = √ d = √ d = 6.73

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Y X Graph the ordered pairs (2,0) and (6,-6) Determine the distance between the two points using the Pythagorean theorem Round your answer to the nearest tenth.

Y X Graph the ordered pairs (3,1) and (10,-2) Determine the distance between the two points using the Pythagorean theorem Round your answer to the nearest tenth.

Distance formula d = √ (x 2 – x 1 ) 2 + (y 2 – y 1 ) 2

d = √ d = √ (x 2 – x 1 ) 2 + (y 2 – y 1 ) 2 Find the distance between the points (2.5, 3.5) and (3, 4.5) d = √ d =

d = √ d = √ (x 2 – x 1 ) 2 + (y 2 – y 1 ) 2 Find the distance between the points (2.5, 3) and (-2.5, -1.5) d = √ d =