distance on a coordinate plane. a b c e f g d h alternate interior angles alternate exterior angles...
TRANSCRIPT
Distance on a coordinate plane
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
a4
c
a2 + b2 = c2
42 + 62 = c2
16 + 36 = c2
52 = c2
√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
a3
a2 + b2 = c2
32 + 72 = c2
9 + 49 = c2
58 = c2
√58 = 7.6c
Distance formula
d = √ (x2 – x1)2 + (y2 – y1)2
d = √ (3 – 2.5)2 + (4.5 – 3.5)2
d = √ (x2 – x1)2 + (y2 – y1)2
Find the distance between the points (2.5, 3.5) and (3, 4.5)
x1, y1 x2, y2
d = √ (0.5)2 + (1)2
d = √ 0.25 + 1
d = √ 1.25 d = 1.12
d = √ (-2.5 – 2.5)2 + (-1.5 – 3)2
d = √ (x2 – x1)2 + (y2 – y1)2
Find the distance between the points (2.5, 3) and (-2.5, -1.5)
x1, y1 x2, y2
d = √ (-5)2 + (-4.5)2
d = √ 25 + 20.25
d = √ 45.25 d = 6.73
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