
Directions: Read carefully!
1. 
Given the diagram at the right, as labeled, find x.
Choose:



2. 
Stanley, the skunk, is traveling from point A to point B by taking a shortcut through the pond. A path that avoids the pond is 25 feet south and 28 feet east. To the nearest tenth of a foot, how many feet will Stanley save by going through the pond instead of following the path?



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3. 
Given the square at the right, as labeled,
find x.
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4. 
A baseball diamond is a square with sides of 90 feet. What is the shortest distance, to the nearest tenth of foot, from first base to third base?
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5. 
The front view of a tent measures 6 feet across the bottom and 5 feet on the slanted sides. What is the height of the tent, in feet, at its tallest point?
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6. 
Given the rectangle at the right with diagonal 19 inches and height 10 inches. Find the width of the rectangle to the nearest inch.



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7. 
In right triangle ΔABC, ∠C is a right angle, AC = and
AB =. Find BC.
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8. 
A pennant, in the shape of an isosceles triangle, is shown at the right. The pennant has sides 13, an altitude x + 7, and a base 2x. Find the length of the base.





9. 
Which set of numbers could not represent the lengths of the sides of a right triangle?
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10. 
Given the diagram shown at the right, as labeled in feet with BCD collinear. A chain is laid along the hypotenuse in each triangle. Find the total length of the chain.





11. 
Dylan wants to get from point A to point C as quickly as possible. He can climb the stairs directly from A to C at a rate of 20 meters per minute, or he can bike along the bike path from A to B to C at the rate of 30 meters per minute.
Which route will get Dylan to point C in less time?
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12. 
Given the diagram at the right.
a) Find AC.
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b) Find CB.
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13. 
Using the Pythagorean Theorem, find the area of a equilateral triangle whose side measures 7 inches. Find the area to the nearest tenth of a square inch.




14. 
Given the diagram at the right.
Find the value of 3x.
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15. 
An equilateral triangle is plotted in the coordinate plane such that two of its vertices are (1,0) and (7,0). What are the coordinates of the third vertex?




16. 
Given the diagram at the right with side lengths of one unit labeled.
Find the value of the segments marked as x and y.
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17. 
Given rhombus ABCD with side length of 30 and BD = 36.
Find AC.
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18. 
Given the diagram, as labeled, find x.
Choose:



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