Calculate the perimeter & area for each figure..

Calculate the perimeter & area for each figure.

Warm Up

Coordinate GeometryFriday May 10th

Equations Slope

Distance

How can you determine the triangle’s classification on a graph?

We use the distance formula to measure the length of each side.

What makes a triangle scalene, isosceles, or equilateral?

Plot the triangle and classify!

Parallelogram

Two pairs of parallel sides Is this a

PARALLELOGRAM? How did you determine

this?

Find the slope of each side, if opposite sides have the same slope, then the quadrilateral is a PARALLELOGRAM

A(6, 3), B(2, 0), C(2, 5), D(6, 2)

Try One!

RectangleFour right angles

Is this a RECTANGLE?How did you determine this?

Find the slope of each side, if consecutive sides have the perpendicular slopes, then the quadrilateral is a RECTANGLE

J(1, 8), K(1, 6), L(5, 0), M(7, 2)

Try One!

RhombusFour congruent sides

Is this a RHOMBUS? How did you determine

this?

Find the length of each side, if each sides has the same length, then the quadrilateral is a RHOMBUS

A(1, 8), B(4, 6), C(1, 2), D(2, 0)

Try One!

SquareFour congruent sides and four right angles

Is this a SQUARE? How did you determine this?

Find the slope of each side and the length of each side, if consecutive sides have the perpendicular slopes and each side has the same length, then the quadrilateral is a SQUARE

A(5, 14), B(2, 11), C(5, 8), D(8, 11)

Try One!

TrapezoidExactly one pair of parallel sides

Is this a TRAPEZOID? How did you determine this?

Find the slope of each side, if one pair of opposite sides have the same slope and the other pair does not, then the

quadrilateral is a TRAPEZOID

A(3, 4), B(0, -1), C(2, -1), D(7, 4)

Try One!

Isosceles TrapezoidExactly one pair of parallel sides and congruent

legs

Is this an ISOSCELES TRAPEZOID? How did you determine this?

Find the slope of each side and the length of the legs, if one pair of opposite sides have the same slope and the other pair does not and the legs have the same length, then the quadrilateral is a ISOSCELES TRAPEZOID

A(4, 2), B(1, 5), C(3, 5), D(6, 2)

Try One!

1. Q(5, 1), R(1, 2), S(1, 7), T(5, 4)

Try Some Mixed Graphs!!

2. A(2, 0), B(1, 3), C(2, 6), D(5, 3)

Triangle/Rhombus◦ On coordinate plane: Length of each side, if all the

same, it is a rhombus Parallelogram/Rectangle

◦ On coordinate plane: Slope of each side. If opposite sides have same slope, it is a parallelogram. If consecutive sides have perpendicular slopes, it is a rectangle

Trapezoid◦ On coordinate plane: Slopes of each side. If only

one pair of opposite sides have same slope, it is a trapezoid.

◦ Find length of two legs, if legs are congruent, then it is isosceles.

FOLDABLE

Worksheet

Homework

Warm Up

Coordinate Area & Perimeter

Monday May 13th

On Friday, we classified figures on the coordinate plane.

Today we will use those graphs to calculate area and perimeter of figures.

For area we will leave out some figures because we are not going to find altitudes that are necessary for the calculations.

Think back before the weekend

How do you calculate perimeter for any figure?

How do you do this on a coordinate plane?◦ We will use the DISTANCE FORMULA to find each

side length then add each side.

Perimeter

Do you remember the area formulas?

Triangle =

Parallelogram = (This includes rectangle, rhombus, & square)

Trapezoid =

Area

Triangles-Calculate Perimeter

Triangles- Calculate Area

Parallelogram- Calculate Perimeter

Rectangle- Calculate Perimeter

Rectangle- Calculate Area

Rhombus- Calculate Perimeter

Square- Calculate Perimeter

Square- Calculate Area

Trapezoid- Calculate Perimeter

Worksheet

Homework