Geometry Regents Review

A student has a rectangular postcard that he folds in half lengthwise. Next, he rotates it continuously about the folded edge. Which three-dimensional object below is generated by this rotation?

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If the rectangle above is continuously rotated about side w, which solid figure is formed?

• pyramid

• rectangular prism

• cone

• cylinder

Which object is formed when right triangle RST shown above is rotated around leg RS?

• a pyramid with a square base

• an isosceles triangle

• a right triangle

• a cone

If an equilateral triangle is continuously rotated around one of its medians, which 3-dimensional object is generated?

• cone

• pyramid

• prism

• sphere

Circle O is centered at the origin. In the diagram below, a quarter of circle O is graphed. Which 3-dimensional figure is generated when the quarter circle is continuously rotated about the y-axis?

• cone

• sphere

• cylinder

• hemisphere

An isosceles right triangle whose legs measure 6 is continuously rotated about one of its legs to form a three-dimensional object. The three-dimensional object is a

• cylinder with a diameter of 6

• cylinder with a diameter of 12

• cone with a diameter of 6

• cone with a diameter of 12

Triangle ABC, with vertices at A(0,0), B(3,5), C(0,5) and , is graphed. Which figure is formed when ΔABC is rotated continuously about BC?

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Which of following represents a cross section of a sphere?

• triangle
• oval
• circle
• cylinder

What is true about a cross section that is parallel to the base of a pyramid?

• It will be a triangle.
• It will be a trapezoid.
• It will be congruent to the base.
• It will be the same shape as the base.

A right cylinder is cut perpendicular to its base. The shape of the cross section is a

• circle

• cylinder

• rectangle

• triangular prism