Figures Not Drawn to Scale

Match the solid below to the two-dimensional shaded region that, upon rotation about the bold axis, would produce the solid. (Note: figures not necessarily drawn to scale.)

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Tags

CCSS.7.G.A.3

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

• Dome

• Circle

• Pyramid

• Triangle

Answer explanation

The horizontal cross-section of a cone is a circle. As you slice through the cone parallel to its base, the shape of the cut will always be circular, regardless of the height at which the cut is made.

Tags

CCSS.7.G.A.3

What shape will the vertical (perpendicular) cross-section of a cube be?

• Square

• Triangle

• Trapezoid

• Circle

Answer explanation

The vertical cross-section of a cube, when cut perpendicularly, will always result in a square shape. This is because all sides of a cube are equal, making any perpendicular slice through the cube a square.

Tags

CCSS.7.G.A.3

What is the distance from X to the rock, if the triangle are similar?

• 30 feet

• 40 feet

• 50 feet

• 63 feet

Tags

CCSS.HSG.CO.C.9

Are the triangles similar? If so, explain why.

• Yes, by SSS.

• Yes, by SAS.

• Yes, by AA.

• No

Tags

CCSS.HSG.SRT.B.5

The triangles formed by two ladders leaning against a wall are similar. How long is the shorter ladder?

• 6 ft

• 21 ft

• 28 ft

• 10 ft

Tags

CCSS.HSG.SRT.A.2

ABCD ~ WXYZ. AD = 12, DC = 6, and WZ = 35. Find YZ. The figures are not drawn to scale. Label the figures.

• 17.5

• 210

• 7.8

• 70

Tags

CCSS.HSG.SRT.A.2

Tags

CCSS.HSG.CO.B.7

Solve for x.

• 18 ft

• 11 ft

• 13 ft

• 17 ft

Tags

CCSS.HSG.SRT.B.5

What is the value of x?

• 11

• 8

• 9

• 10

Tags

CCSS.HSG.SRT.B.4