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Calculate the perimeter & area for each figure. Warm Up

Calculate the perimeter & area for each figure

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Page 1: Calculate the perimeter & area for each figure

Calculate the perimeter & area for each figure.

Warm Up

Page 2: Calculate the perimeter & area for each figure

Coordinate GeometryFriday May 10th

Page 3: Calculate the perimeter & area for each figure

Equations Slope

Distance

Page 4: Calculate the perimeter & area for each figure

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?

Page 5: Calculate the perimeter & area for each figure

Plot the triangle and classify!

Page 6: Calculate the perimeter & area for each figure

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

Page 7: Calculate the perimeter & area for each figure

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

Try One!

Page 8: Calculate the perimeter & area for each figure

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

Page 9: Calculate the perimeter & area for each figure

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

Try One!

Page 10: Calculate the perimeter & area for each figure

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

Page 11: Calculate the perimeter & area for each figure

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

Try One!

Page 12: Calculate the perimeter & area for each figure

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

Page 13: Calculate the perimeter & area for each figure

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

Try One!

Page 14: Calculate the perimeter & area for each figure

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

Page 15: Calculate the perimeter & area for each figure

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

Try One!

Page 16: Calculate the perimeter & area for each figure

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

Page 17: Calculate the perimeter & area for each figure

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

Try One!

Page 18: Calculate the perimeter & area for each figure

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)

Page 19: Calculate the perimeter & area for each figure

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

Page 20: Calculate the perimeter & area for each figure

Worksheet

Homework

Page 21: Calculate the perimeter & area for each figure

Warm Up

Page 22: Calculate the perimeter & area for each figure

Coordinate Area & Perimeter

Monday May 13th

Page 23: Calculate the perimeter & area for each figure

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

Page 24: Calculate the perimeter & area for each figure

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

Page 25: Calculate the perimeter & area for each figure

Do you remember the area formulas?

Triangle =

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

Trapezoid =

Area

Page 26: Calculate the perimeter & area for each figure

Triangles-Calculate Perimeter

Page 27: Calculate the perimeter & area for each figure

Triangles- Calculate Area

Page 28: Calculate the perimeter & area for each figure

Parallelogram- Calculate Perimeter

Page 29: Calculate the perimeter & area for each figure

Rectangle- Calculate Perimeter

Page 30: Calculate the perimeter & area for each figure

Rectangle- Calculate Area

Page 31: Calculate the perimeter & area for each figure

Rhombus- Calculate Perimeter

Page 32: Calculate the perimeter & area for each figure

Square- Calculate Perimeter

Page 33: Calculate the perimeter & area for each figure

Square- Calculate Area

Page 34: Calculate the perimeter & area for each figure

Trapezoid- Calculate Perimeter

Page 35: Calculate the perimeter & area for each figure

Worksheet

Homework