Geometry - January 2010

27 Which expression represents the volume, in cubic centimeters, of the cylinder represented in the diagram below?

28 What is the inverse of the statement “If two triangles are not similar, their corresponding angles are not congruent”?

(1) If two triangles are similar, their corresponding angles are not congruent.
(2) If corresponding angles of two triangles are not congruent, the triangles are not similar.
(3) If two triangles are similar, their corresponding angles are congruent.
(4) If corresponding angles of two triangles are congruent, the triangles are similar.

PART II

30 Tim has a rectangular prism with a length of 10 centimeters, a width of 2 centimeters, and an
unknown height. He needs to build another rectangular prism with a length of 5 centimeters and
the same height as the original prism. The volume of the two prisms will be the same. Find the
width, in centimeters, of the new prism.

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