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DO NOW. 1. Find the square root of each number. a) 49b) 64c) 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)²b) √x² + y²c) x + y 2. The Coordinate Plane. Geometry

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Do now

DO NOW

1. Find the square root of each number.

a) 49b) 64c) 144

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

    a) (m – n)²b) (n – m)²c) m² + n²

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

    a) (x – y)²b) √x² + y²c) x + y

    2


The coordinate plane

The Coordinate Plane

Geometry

Week 3 of 9

Unit 1: Logic & Reasoning


Standards objective

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


Finding midpoint

Finding Midpoint


Finding midpoint1

Finding Midpoint


Midpoint formula

Midpoint Formula

M =


Do now

I Do

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

Find the coordinates of its midpoint M.


You do

You Do

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

Find the coordinates of its midpoint X.


Finding distance

Finding Distance

Distance Formula

d =


Do now

I DO

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


We do

WE DO

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


You do1

YOU DO

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


Finding an endpoint

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

HOMEWORK

Worksheet: “PRACTICE 1-8” #s 1-16

Due Monday 9/21

No Exceptions (Will NOT be accepted late)

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


Do now

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)


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