MIDPOINT AND DISTANCE

May 6th, 2013

WARM UP1. Solve for x.

−5(1 − 5x) + 5(−8x − 2) = −4x − 8x

2. Factor. z2 - z - 3 = 0

3. Factor. 2x2 + 7x + 3

VOCABULARY Distance: is a numerical description of

how far apart two points are

Midpoint: divides a segment into two congruent pieces

POINTS ON A COORDINATE PLANE What is a point?

How do you show a point’s location on the coordinate plane?

What comes first?A(x1, y1) B(x2, y2)

MIDPOINT FORMULA Number Line:

Coordinate Plane:

2

ba

2

,2

2121 yyxxm

EXAMPLE Calculate the midpoint of segment EB.

YOU TRYFIND THE MIDPOINT

L(0, 0), M(9, 3)

YOU TRY!FIND THE MIDPOINT

2 and 7

FIND THE MIDPOINT BETWEEN C AND D

DISTANCE FORMULA Number Line: Coordinate Plane:

ABba

2212

21 yyxxd

EXAMPLE Calculate the distance between D and A.

YOU TRYFIND THE DISTANCE

K(0, 5), L(7, 9)

YOU TRY FIND THE DISTANCE BETWEEN C AND D

FINDING AREA AND PERIMETER Use the distance formula to find the

“area” and “perimeter”

The area for a square/rectangle is A = b•h

The area for a triangle is A = ½ b•h

For perimeter you ADD UP the distance of all the sides of the shape.

FIND THE AREA AND PERIMETER OF TRIANGLE RPQ .

YOU TRY Find the area of the shape below.

FIND THE PERIMETER

HOMEWORK

Worksheet 1-7Evens