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DO NOW. 1. Find the square root of each number. a) 49 b) 64 c) 144 Evaluate each expression for m = -3 and n = 7 a) (m – n)² b) (n – m)² c) m² + n² Evaluate each expression for x = 6 and y = -8 a) (x – y)² b) √x² + y² c) x + y 2. The Coordinate Plane. Geometry

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DO NOW

1. Find the square root of each number.

a) 49 b) 64 c) 144

• Evaluate each expression for m = -3 and n = 7

a) (m – n)² b) (n – m)² c) m² + n²

• Evaluate each expression for x = 6 and y = -8

a) (x – y)² b) √x² + y² c) x + y

2

### The Coordinate Plane

Geometry

Week 3 of 9

Unit 1: Logic & Reasoning

Standards & Objective

Standard 17.0

Students prove theorems by using coordinate geometry, including

the midpoint of a line segment and the distance formula.

Objective

• To find the distance between two points in the coordinate plane
• To find the coordinates of the midpoint of a segment in the coordinate plane
I Do

QS has endpoints Q(3,5) and S(7,9).

Find the coordinates of its midpoint M.

You Do

AB has endpoints at A(-3,-2) and B(9,10).

Find the coordinates of its midpoint X.

Finding Distance

Distance Formula

d =

I DO

Find the distance between G(3,1) and P(6,5)

WE DO

Find the distance between T(5,2) and R(-4,-1)

YOU DO

AB has endpoints A(1,-3) and B(-4,4). Find AB.

Finding an Endpoint

The midpoint of XY is M(4,-6). X has coordinates (2,-3)

Find the coordinates of Y.

Use the Midpoint Formula.

HOMEWORK

Worksheet: “PRACTICE 1-8” #s 1-16

Due Monday 9/21

No Exceptions (Will NOT be accepted late)

SHOW YOUR WORK!!!!!!!!!!!

Q

(8,7)

• Exit Slip
• What is the length of the line segment PQ? (SHOW YOUR WORK)
• 9 units
• 10 units
• 13 units
• 14 units

P

(0,1)