GRADE 7 GEOMETRIC SENSE (1998)

Make sure you include proper units in your answer.

1. The figure shown is a prism constructed of 1 inch cubes. Determine the surface area of the prism.

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2. Figure TRAP is a trapezoid. Note that angle TPA is a right angle.

(a) Find the measure of angle 1.

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(b) Find the measure of angle 2.

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(c) Find the area of the trapezoid.

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3. Determine the vertical height, h, of the playground slide shown in the figure.

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4. Transformations can be reflections, rotations, or slides. Slides are sometimes called translations. There is one transformation, each, which allows you to go from the original to A and then to B and finally to C in the figure shown. In order, what are those 3 transformations?

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5. The vertices of a regular hexagon ABCDEF are on a circle with center O and radius 2 cm.

(a) What is the measure of ABC (one of the six angles in the interior of the hexagon)?

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(b) What is the difference, in cm, between the circumference of the circle and the perimeter of the hexagon?

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