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McGraw Hill Glencoe Geometry, 2012

MH

McGraw Hill Glencoe Geometry, 2012 View details

3. Distance and Midpoints

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Exercise 23 Page 31

To determine the distance between two points, we use the Distance Formula in a Coordinate Plane. The given points are

X (- 3, - 6)

and

Y (5, 6) .

X Y = (x_{2} - x_{1})^{2} + (y_{2} - y_{1})^{2}

SubstitutePoints

Substitute $(- 3, - 6)$ & $(5, 6)$

X Y = (5 - (- 3))^{2} + (6 - (- 6))^{2}

$a - (- b) = a + b$

X Y = (5 + 3)^{2} + (6 + 6)^{2}

Add terms

X Y = 8^{2} + 1 2^{2}

Calculate power

X Y = 64 + 144

Add terms

X Y = 208

Calculate root

X Y = 14.4222051 \dots

Round to $1$ decimal place(s)

X Y \approx 14.4

The distance between

X

and

Y

is

208

or about

14.4

units.

Subchapter links

Check Your Understanding p.30-31

Practice and Problem Solving p.31-34

H.O.T. Problems p.34

Standardized Test Practice p.35

Spiral Review p.35

Skills Review p.35