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5 Minute Check

Complete on the back of your homework.

1. Suppose the base and height of aparallelogram is multiplied by 4. What effect would this have on the perimeterof the parallelogram?

2. Suppose the base and height of a parallelogram is multiplied by 4. What effect would this have on the areaof the parallelogram?

3. Suppose the base and height of an octagon is multiplied by 6. What effect would this have on the perimeter of the octagon?

4. Suppose the base and height of an octagon is multiplied by 6. What effect would this have on the areaof the octagon?

5 Minute Check

Complete on the back of your homework.

1. Suppose the base and height of aparallelogram is multiplied by 4. What effect would this have on the perimeterof the parallelogram?

5 Minute Check

Complete on the back of your homework.

1. Suppose the base and height of aparallelogram is multiplied by 4. What effect would this have on the perimeterof the parallelogram?

The perimeter is 4 times larger.

5 Minute Check

Complete on the back of your homework.

2. Suppose the base and height of a parallelogram is multiplied by 4. What effect would this have on the areaof the parallelogram?

5 Minute Check

Complete on the back of your homework.

2. Suppose the base and height of a parallelogram is multiplied by 4. What effect would this have on the areaof the parallelogram?

The area is 4², or 16, times larger.

5 Minute Check

Complete on the back of your homework.

3. Suppose the base and height of an octagon is multiplied by 6. What effect would this have on the perimeter of the octagon?

5 Minute Check

Complete on the back of your homework.

3. Suppose the base and height of an octagon is multiplied by 6. What effect would this have on the perimeter of the octagon?

The perimeter is 6 times larger.

5 Minute Check

Complete on the back of your homework.

4. Suppose the base and height of an octagon is multiplied by 6. What effect would this have on the areaof the octagon?

5 Minute Check

Complete on the back of your homework.

4. Suppose the base and height of an octagon is multiplied by 6. What effect would this have on the areaof the octagon?

The area is 6², or 36, times larger.

9-4 Review

If you increase the sides of any shape by 2 times, you increase the perimeter by what?

9-4 Review

If you increase the sides of any shape by 2 times, you increase the perimeter by what?

2 times

If you increase the sides of any shape by 2 times, you increase the area by what?

9-4 Review

If you increase the sides of any shape by 2 times, you increase the perimeter by what?

2 times

If you increase the sides of any shape by 2 times, you increase the area by what?

2² times

9-4 Review

Perimeter Area

2 times 2 times 4 times

If you increase the sides of any shape by 3 times, you increase the perimeter by what?

9-4 Review

Perimeter Area

2 times 2 times 4 times

If you increase the sides of any shape by 3 times, you increase the perimeter by what?

3 times

If you increase the sides of any shape by 3 times, you increase the area by what?

9-4 Review

Perimeter Area

2 times 2 times 4 times

If you increase the sides of any shape by 3 times, you increase the perimeter by what?

2 times

If you increase the sides of any shape by 3 times, you increase the area by what?

3² times

9-4 Review

Perimeter Area

2 times 2 times 4 times

3 times 3 times 9 times

If you increase the sides of any shape by 4 times, you increase the perimeter by what?

9-4 Review

Perimeter Area

2 times 2 times 4 times

3 times 3 times 9 times

If you increase the sides of any shape by 4 times, you increase the perimeter by what?

4 times

9-4 Review

Perimeter Area

2 times 2 times 4 times

3 times 3 times 9 times

If you increase the sides of any shape by 4 times, you increase the perimeter by what?

4 times

If you increase the sides of any shape by 4times, you increase the area by what?

9-4 Review

Perimeter Area

2 times 2 times 4 times

3 times 3 times 9 times

If you increase the sides of any shape by 4 times, you increase the perimeter by what?

4 times

If you increase the sides of any shape by 4times, you increase the area by what?

4² times

9-4 Review

Perimeter Area

2 times 2 times 4 times

3 times 3 times 9 times

4 times 4 times 16 times

5 times ? ?

9-4 Review

Perimeter Area

2 times 2 times 4 times

3 times 3 times 9 times

4 times 4 times 16 times

5 times 5 times 25 times

9-4 Review

Perimeter Area

2 times 2 times 4 times

3 times 3 times 9 times

4 times 4 times 16 times

5 times 5 times 25 times

6 times ? ?

9-4 Review

Perimeter Area

2 times 2 times 4 times

3 times 3 times 9 times

4 times 4 times 16 times

5 times 5 times 25 times

6 times 6 times 36 times

Polygons on the Coordinate Plane

Objective: To draw polygons on the coordinate plane and use coordinates to find lengths.

Polygons on the Coordinate Plane

At the end of this lesson you should be able to answer the following question.

How can coordinates help you find the areas of figures on the coordinate plane?

Polygons on the Coordinate Plane

Graph the figure then classify it (tell what shape it is). Then find the area. A(-3,-4), B(-3,5), C(2,5), D(2,-4)

Do this on your own.

Polygons on the Coordinate Plane

Graph the figure then classify it (tell what shape it is). Then find the area. A(-3,-4), B(-3,5), C(2,5), D(2,-4)

A = 5 x 9 = 45u²

Polygons on the Coordinate Plane

Graph the figure then classify it (tell what shape it is). Then find the area. R(3,-2), S(7,-2), T(8,-6), V(1,-6)

Do this on your own.

Polygons on the Coordinate Plane

Graph the figure then classify it (tell what shape it is). Then find the area. R(3,-2), S(7,-2), T(8,-6), V(1,-6)

A =

A =

A = 22u²

Polygons on the Coordinate Plane

Graph the figure then classify it (tell what shape it is). Then find the area. X(-7,2),

Y(-7,6), Z(-4,2)

Do this on your own.

Polygons on the Coordinate Plane

Graph the figure then classify it (tell what shape it is). Then find the area. X(-7,2),

Y(-7,6), Z(-4,2)

A =

A = 6u²

Polygons on the Coordinate Plane

Graph the figure then classify it (tell what shape it is). Then find the area.

A(3,3), B(3,6), C(5,6), D(8,3)

Do this on your own.

Polygons on the Coordinate Plane

Graph the figure then classify it (tell what shape it is). Then find the area.

A(3,3), B(3,6), C(5,6), D(8,3)

Area =

=

=

= 10.5u²

It is a trapezoid.

Polygons on the Coordinate Plane

We can also use the coordinates of a shape to find the dimensions by finding the distance between two points.

Polygons on the Coordinate Plane

What is the length of LK; L (1,4) K(1, 9)?

To find the distance between two ordered pairs, subtract the unique numbers and take the absolute value.

I4 – 9I

I-5I = 5

Polygons on the Coordinate Plane

A rectangle has vertices of A(2,8), B (7,8), C (7,5) and D(2,5). Use the coordinates to find the length of each side. Then find the perimeter.

What is the length of AB?

Polygons on the Coordinate Plane

A rectangle has vertices of A(2,8), B (7,8), C (7,5) and D(2,5). Use the coordinates to find the length of each side. Then find the perimeter.

What is the length of AB? I2-7I = I-5I = 5

What is the length of BC?

Polygons on the Coordinate Plane

A rectangle has vertices of A(2,8), B (7,8), C (7,5) and D(2,5). Use the coordinates to find the length of each side. Then find the perimeter.

What is the length of AB? I2-7I = I-5I = 5

What is the length of BC? I8-5I = I3I = 3

What is the length of CD?

Polygons on the Coordinate Plane A rectangle has vertices of A(2,8), B (7,8), C (7,5) and D(2,5). Use the coordinates to find the length of each side. Then find the perimeter.

What is the length of AB? I2-7I = I-5I = 5

What is the length of BC? I8-5I = I3I = 3

What is the length of CD? I7-2I = I5I = 5

What is the length of DA?

Polygons on the Coordinate Plane A rectangle has vertices of A(2,8), B (7,8), C (7,5) and D(2,5). Use the coordinates to find the length of each side. Then find the perimeter.

What is the length of AB? I2-7I = I-5I = 5

What is the length of BC? I8-5I = I3I = 3

What is the length of CD? I7-2I = I5I = 5

What is the length of DA? I5-8I = I-3I = 3

What is the perimeter?

Polygons on the Coordinate Plane A rectangle has vertices of A(2,8), B (7,8), C (7,5) and D(2,5). Use the coordinates to find the length of each side. Then find the perimeter.

What is the length of AB? I2-7I = I-5I = 5

What is the length of BC? I8-5I = I3I = 3

What is the length of CD? I7-2I = I5I = 5

What is the length of DA? I5-8I = I-3I = 3

What is the perimeter? 5 + 3 + 5 + 3 = 16u

Polygons on the Coordinate Plane A rectangle has vertices of A(2,8), B (7,8), C (7,5) and D(2,5). Use the coordinates to find the length of each side. Then find the perimeter.

What is the length of AB? I2-7I = I-5I = 5

What is the length of BC? I8-5I = I3I = 3

What is the length of CD? I7-2I = I5I = 5

What is the length of DA? I5-8I = I-3I = 3

What is the area?

Polygons on the Coordinate Plane A rectangle has vertices of A(2,8), B (7,8), C (7,5) and D(2,5). Use the coordinates to find the length of each side. Then find the perimeter.

What is the length of AB? I2-7I = I-5I = 5

What is the length of BC? I8-5I = I3I = 3

What is the length of CD? I7-2I = I5I = 5

What is the length of DA? I5-8I = I-3I = 3

What is the area? 5 x 3 = 15u²

Polygons on the Coordinate Plane

A rectangle ABCD has vertices of A(2,1), B (2,5), C (4,5) and D(4,1). Use the coordinates to find the length of each side. Then find the perimeter.

Do this on your own.

Polygons on the Coordinate Plane

A rectangle ABCD has vertices of A(2,1), B (2,5), C (4,5) and D(4,1). Use the coordinates to find the length of each side. Thnfind the perimeter.

AB = I1- 5I = I-4I = 4

BC = I2 – 4I = I -2I = 2

CD = I5 – 1I = I4I = 4

DA = I4 – 2I = I2I = 2

The perimeter is 4 + 4 + 2 + 2 = 12u

What is the area?

Polygons on the Coordinate Plane

A rectangle ABCD has vertices of A(2,1), B (2,5), C (4,5) and D(4,1). Use the coordinates to find the length of each side. Then find the perimeter and area.

AB = I1- 5I = I-4I = 4

BC = I2 – 4I = I -2I = 2

CD = I5 – 1I = I4I = 4

DA = I4 – 2I = I2I = 2

The perimeter is 4 + 4 + 2 + 2 = 12u

What is the area? 4 x 2 = 8u²

Polygons on the Coordinate Plane

Each grid square on the zoo map has a length of 200 ft. Find the total distance, in feet, of the distance around the zoo.

Do this on your own.

Polygons on the Coordinate Plane

Each grid square on the zoo map has a length of 200 ft. Find the total distance, in feet, of the distance around the zoo.

10+7+3+4+4+4+3+7= 42u

Since each unit is 200ft,

Then the total distance is

42 · 200 = 8400ft

Polygons on the Coordinate Plane

Agenda Notes

Homework–

Homework Practice 9-5

Due Tuesday, Feb 11

Chapter 9 Test –Thursday, Feb 13

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