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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 25 Page 31

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

X (1, 2)

and

Y (5, 9) .

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

SubstitutePoints

Substitute $(1, 2)$ & $(5, 9)$

X Y = (5 - 1)^{2} + (9 - 2)^{2}

Subtract terms

X Y = 4^{2} + 7^{2}

Calculate power

X Y = 16 + 49

Add terms

X Y = 65

Calculate root

X Y = 8.0622577 \dots

Round to $1$ decimal place(s)

X Y \approx 8.1

The distance between

X

and

Y

is

65

or about

8.1

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