Shapes and States

Tell whether the two figures are similar. Explain your reasoning.

• Yes, similar because they have the same shape and the same angles

• No, the ratio of corresponding sides are not equal 

• Yes, same shape

• No, different sizes

Are these Rectangles similar?

• Yes

• No

Two objects that are the same shape but not the same size are _______.

• Congruent

• Vertical

• Similar

• Complementary 

What shape will the horizontal cross-section of a sphere be?

• Dome

• Circle

• Ellipse

• Rectangle

What shape will the vertical cross -section of a cylinder be?

• Circle

• Triangle

• Rectangle

• Ellipse

Which best describes the cross-section?

• square

• triangle

• parallelogram

• hexagon

Jenny says that the two prisms DO NOT have the same volume because the cross sections are not the same. Renee disagrees; she says that it isn't the shape that has to be the same but the area. Renee thinks they have the same volume.

Who is correct?

• Jenny

• Renee

• Neither Jenny or Renee is correct.

Based on Cavalieri's Principle, will the two prisms have the same volume?

• No, they will not be same. Although the heights are the same, the cross-sections are different shapes. 

• Yes, the heights of both prisms are the same and they have the same cross-sectional area. Therefore, they will have the same volume.
  

According to Cavalieri's Principle, how many disks can fit inside of the cone?

• 8 disks

• 12 disks

• 20 disks

• 6 disks

Find the area and perimeter of the following rectangle

• A= 210 yd² ; P = 58 yd

• P= 210 yd²; A = 58 yd.

• A= 196yd²; P = 56 yd.