Practice Page
Directions: Read carefully!

1.
Given the diagram at the right, as labeled, find x.

Choose:
8
10
12
14
Py1

 

 

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?
Py2
 
Choose:
14.5 feet
15.0 feet
15.5 feet
16.0 feet

 

 

3.
Given the square at the right, as labeled,
find x.

Choose:
2.5rad2middle
0.5rad5
2.5
5rad2
pyp3
 

 

 

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?
Choose:
90.0
127.3
180.0
180.7
baseball

 

 

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?

Choose:
3
4
4.5
5

pyp4

 

 

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.
 pyp5
 
Choose:
10 inches
14 inches
16 inches
19 inches

 

 

7.
In right triangle ΔABC, ∠C is a right angle, AC = 5rad2and
AB =2rad15. Find BC.

Choose:
rad10
rad20
rad50
rad110

 

 

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.

pyp6
 
Choose:
5
10
12
24

 

 

9.
Which set of numbers could not represent the lengths of the sides of a right triangle?

Choose:
{5,12,13}
{3,4,5}
 {2,3,4}
{8,15,17}

 

 

10.
Given the diagram shown at the right, as labeled in feet with B-C-D collinear. A chain is laid along the hypotenuse in each triangle. Find the total length of the chain.

 pyp7
 
Choose:
15 feet
25 feet
30 feet
40 feet

 

 

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?

Choose:
stairs
bike path

woods

 

 

12.
Given the diagram at the right.
 a) Find AC.
Choose:
pypr12a
pypr12bb
pypr12c pypr12d
pyp12
 

b) Find CB.
Choose:
pypr12a
pypr12bb
pypr12c
pypr12d

 

 

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.

 
Choose:
42.4 sq.in.
42.6 sq.in.
21.2 sq.in.
21.3 sq.in.

 

 

14.
Given the diagram at the right.
Find the value of 3x.

Choose:
4
5
12
16

pypr14

 

 

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?
 
Choose:
There is only one third vertex at pypr15aa.
There is only one third vertex at (4,6).
There are two possible third vertices at pypr15b.
There are two possible third vertices at (4,±6).

 

 

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.

Choose:
x = 4, y = 6
x = rad4, y =rad6
x = 5, y = 7
x =rad5a, y =rad7

pyspiralques

 

 

17.
Given rhombus ABCD with side length of 30 and BD = 36.
Find AC.

Choose:
18
24
36
48

pyprac17

 

 

18.
Given the diagram, as labeled, find x.

Choose:
rad57
rad54
rad51
rad48

pyprac18

 

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