IM Geo.5.2 Practice: Slicing Solids

[size=150]Select [b]all [/b]figures for which there exists a direction such that all cross sections taken at that direction are congruent.[/size]

cone triangular pyramid sphere rectangular prism square pyramid cube cylinder

Imagine an upright cone with its base resting on your horizontal desk. Sketch the cross section formed by intersecting each plane with the cone.

[size=150]Name 2 figures for which a circle can be a cross section.[/size]

Sketch the solid of rotation formed by rotating the given two-dimensional figure using the dashed vertical line as an axis of rotation.

Draw a two-dimensional figure that could be rotated using a vertical axis of rotation to give the cone shown.

[size=150]A regular hexagon and a regular octagon are both inscribed in the same circle. Which of these statements is true?[/size]

The perimeter of the octagon is greater than the perimeter of the hexagon, and each perimeter is greater than the circumference of the circle. The perimeter of the hexagon is greater than the perimeter of the octagon, and each perimeter is greater than the circumference of the circle. The perimeter of the hexagon is less than the perimeter of the octagon, and each perimeter is less than the circumference of the circle. The perimeter of the octagon is less than the perimeter of the hexagon, and each perimeter is less than the circumference of the circle.

IM Geo.5.2 Practice: Slicing Solids

Imagine an upright cone with its base resting on your horizontal desk. Sketch the cross section formed by intersecting each plane with the cone.

Sketch the solid of rotation formed by rotating the given two-dimensional figure using the dashed vertical line as an axis of rotation.

Draw a two-dimensional figure that could be rotated using a vertical axis of rotation to give the cone shown.

Find the perimeter of the figure.

Explain how you know lines m and l are parallel.

Information: IM Geo.5.2 Practice: Slicing Solids