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Directions: Read questions carefully and choose the best answer. "Explanation" will show how to solve the problems.
1. |
A baseball diamond is a square defined by home plate and the three bases. The sides of the square each measure 90 feet.
a) What is the distance from
the pitcher's mound (in the center of the square) to home plate to the nearest foot?
Choose:
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b) A segment is drawn connecting first base to third base. What is the measure of the angle formed between this segment and the segment connecting first base to home plate?
Choose:
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2. |
The Andersons have a play house in their backyard. For the holidays, they want to place lights diagonally on the front of the roof (as shown). The roof is an isosceles trapezoid with a vertical height of 6 feet. AB = 10 feet and DC = 6 feet.
a) How many feet of lights will be needed to cover the diagonals?
Choose:
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b) How many feet of additional lights will be needed if the Andersons decide to also place lights around the outer edge of the front roof (from A to D to C to B to A), to the nearest tenth of a foot ?
Choose:
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3. |
Justin built the kite shown at the right with AE = EC = DE.
a) Find m∠DCE.
b) If m∠ABC = 64º, what is the m∠ACB?
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4. |
A cow crossing sign, in the shape of a square, is to be mounted to a post by placing a bolt through the center, P, of the sign. AB = 24 inches.
a) What is the exact distance, in inches, from D to P ?
Choose:
b) What is the exact distance, in inches, from A to P ?
Choose:
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Disregard the rounded corners
of the sign when doing
your calculations.
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5. |
The center portion of a rectangular barn door has diagonal braces from D to B and from C to A.
a) If AB = 32.5 inches and CB = 68.2 inches, find DB, to the nearest tenth of an inch.
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b) If the white border around the door is consistently 6 inches wide, what is the vertical length from the bottom of the door to the center point of the door, to the nearest inch?
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6. |
Copper Lane and Third Street intersect as shown. |
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a) Which type of quadrilateral best describes ABCD?
Justify your answer.
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You may assume that both streets have the same width. |
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7. |
The game of hopscotch utilizes a series of nine congruent rectangles and one semicircle, as shown at the right.
The diagonal of the rectangle measures 25 inches and the base and width of the rectangle are in the ratio of 3:4.
a) Find the
total length of the hopscotch board .
(The vertical distance as shown in the diagram.)
b) Find the
total area of the hopscotch board to the nearest square foot.
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The rectangles, as shown,
are all sitting on their
wider bases.
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8. |
A step-ladder is a ladder commonly used for painting. When it is opened, the paint shelf and the ladder braces will be parallel. m∠ALR = 80º.
a) Find m∠DAE.
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b) Find m∠ERL. Justify answer.
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