Checking Your Geometric and Measurement Sense
Name ___________________
1.
What is the area of a circle whose circumference is 12?
a. 36/
b. 144
c. 6
d. 2
2.
What is the area of a triangle with height = 4 units and base = 3 units?
a. 4 units
b. 12 units
c. 3 units
d. 6 units
3.
A hiker travels a 15 km trail in 12.5 hours. What is her average speed?
a. 1.5 km/h
b. 1.2 km/h
c. 0.75 km/h
d. 2 km/h
4.
The recommended square footage for a certain tree to grow properly is at least 64 ft 2. If
the Contreras family yard measures 56 feet long by 40 feet wide, what is the maximum
number of trees they can plant so that each will grow properly?
a. 2
b. 8
c. 35
d. 40
5.
Find the perimeter of the following rectangle.
4 cm
7 cm
a.
b.
c.
d.
28 cm
11 cm
22 cm
18 cm
6.
Find the volume of a packing crate with length = 6 ft, width = 3 ft, and height = 4 ft.
a. 13 ft3
b. 72 ft3
c. 36 ft3
d. 22 ft3
7.
A triangle with at least 2 sides the same length is called:
a. scalene
b. right
c. isosceles
d. equilateral
8.
Which of the following pairs of figures are congruent?
a.
*
b.
c.
d.
9.
Given the triangle below, find the length of the hypotenuse.
a.
b.
c.
d.
14
100
10
9
6
8
10. How many lines of symmetry does the figure below have?
a.
b.
c.
d.
0
2
4
6
11. Which of the following figures in not a parallelogram?
a.
c.
b.
d.
12. A triangle with all 3 sides the same length is called:
a. scalene
b. right
c. isosceles
d. equilateral
13. Given the triangle below, find the measure of angle z.
35
83
z
a. 242
b. 35
c. 62
d. not enough information is given
14. What geometric transformation has occurred?
e. slide
f. flip
g. turn
h. shrink
15. What geometric transformation has occurred?
a. slide
b. flip
c. turn
d. shrink
Short-Response Questions (Graded on the 2 point measurement/problem solving rubric)
16. Caprice drives to work 5 days a week. In the morning, she takes a 15-mile route. In the
afternoon, she takes a 20-mile route home to avoid traffic. Caprice’s car gets 20 miles to the
gallon. How many gallons of gasoline will Caprice use each week driving to and from
work?
Explain or show how you found your answer.
How many gallons of gasoline will Caprice use each week
driving to and from work? _______________________
17. 9. Use the coordinate plane the right.
a. Graph triangle ABC if A = (2,0), B= (2,4),
and C=(0,0).
x
b. Graph the image A’B’C’ under a size change
of magnitude 2.
8
7
6
5
4
3
2
c. Graph the image A”B”C” under a size change
1
of magnitude  .
2
-6
1
-4
-2
2
4
6
-1
-2
d. What is the ratio between the areas of the
triangle ABC and A’B’C’?
-3
-4
X+8
18. These triangles are similar.
a. Find x and x + 8.
26
b. Find the length of the third side of each triangle.
(Hint: do not use a proportion.)
10
x
8