Area and Volumes

Finding distances

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Today's Goals

• Recall how to plot points using coordinates.

• Find distance between two points on a grid using triangles and the Pythagorean Theorem.

The Coordinate Plane

When we make coordinates for points, we list and x coordinate and a y coordinate.

Which one always comes first? X or Y?

Multiple Choice

When listing a coordinate pair, does X or Y comes first?

• X

• Y

• Z

• Doesn't matter...

Multiple Choice

For slope, does the x value go on the top or the bottom?

• X

• Y

• Z

• Doesn't matter...

Fill in the Blanks

Point A has coordinates (2,_)? (fill in the blank)

Multiple Choice

What point has coordinates (3,2)?

• A

• B

• C

• D

• E

Multiple Choice

What point has coordinates (3,-1)?

• A

• B

• C

• D

• E

Multiple Choice

What point has coordinates (1,-1)?

• A

• B

• C

• D

• E

Multiple Choice

What is the distance between point A(3,2) and point D(3,-1)?

• 0

• 1

• 2

• 3

• 4

Multiple Choice

What is the distance between point D(3,-1) and point C(1,-1)?

• 0

• 1

• 2

• 3

• 4

Multiple Choice

What kind of triangle is BCD?

• Right triangle

• Isosceles triangle

• Equilateral triangle

• L triangle

Multiple Choice

Right triangles obey the Pythagorean Theorem. Which of these is true?

• $$3^2+2^2=L^2$$

• $$L\ =\ 5$$

• $$3\ -\ 2\ =\ L^2$$
  

• $$9\ +\ 4\ =\ L$$
  

Multiple Choice

Because $$3^2+2^2=L^2$$ , which of these is true?

• $$13=L^2$$

• $$L\ =\ 9+4$$  

  $$.$$

• $$13\ =\ L$$
  

• $$L\ =\ 5$$
  

Multiple Choice

Finally, since  $$L^2=13$$   , which of these closest to the value of $$L$$ ? (Remember,  $$L$$   is not the same as $$L^2$$ )

• $$3$$

• 3.6

• 4

• 6.5

​RTI 1.4 Perimeter and Area in the Coordinate Plane

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"Life Without Geometry is Pointless"

Your Tools

Multiple Choice

What is the area of the square? #5

• 12 square units

• 25 square units

• 5 square units

• 24square units

Multiple Choice

What is the area of the parallelogram? #8

• 18 units²

• 20 units²

• 24 units²

• 30 units²

Multiple Choice

What is the area of the rectangle? (Round to the nearest tenth) #9

• 18 units²

• 26 units²

• about 30.7 units²

• about 34.7 units²

Fill in the Blanks

What is the perimeter of rectangle WXYZ? #22

Multiple Choice

Find the perimeter. Round to the nearest tenth, if necessary. #19

• 20.9

• 30

• 56.3

• 729

Multiple Choice

Identify the 3D solid.

• sphere

• circle prism

• log

• cylinder

Multiple Choice

• A
• B
• C
• D

Multiple Choice

Describe the cross section.

• rectangle

• square

• oval

• circle

Multiple Choice

Describe the cross section.

• triangle
• rectangle
• trapezoid
• square

Multiple Choice

Describe the cross section.

• rectangle
• square
• parallelogram
• circle

Multiple Choice

Describe the cross section.

• triangle
• rectangle
• oval
• trapezoid

Multiple Choice

Is it possible for a cross section of a cylinder to have a triangular shape?

• yes
• no
• sometimes

Multiple Choice

What is the name of this 3D solid?

• Cube
• Sphere
• Cylinder
• Square Pyramid

Multiple Choice

What is the name of this 3D solid?

• Cone
• Triangule
• Square Prism
• Pyramid 

Multiple Choice

What 3D solid does this net create?

• Cone
• Cylinder
• Triangular Pyramid
• Cube

Multiple Choice

What 3D solid does this net create?

• Rectangular Prism
• Rectangular Pyramid
• Cube
• Square Prism

Multiple Choice

What 3D solid does this net create?

• Triangular Pyramid

• Triangular Prism

• Square Pyramid

• Square Prism

Multiple Choice

Find the volume of the cylinder.

• 282.6

• 516.2

• 133

• 214

Multiple Choice

Find the volume of the figure.

• 150.72 cm³
• 75.36 cm³
• 452.16 cm³
• 151 cm³

Multiple Choice

V = ?

• 904.77 ft³
• 7,238.23 ft³
• 150.72 ft³
• 650.22 ft³

Multiple Choice

Find the Volume of the composite figure.

• 2400 ft³
• 1920 ft³
• 4128 ft³
• 2112 ft³

Multiple Choice

What is the volume of the composite solid?

• 301.6 cm³
• 502.7 cm³
• 268.1 cm³
• 167.6 cm³

Multiple Choice

Find the volume.

• 112 in³

• 336 in³

• 11.2 in³

• 33.6 in³