Download MGF 1106 Test Three – Geometry Name You may use a calculator

MGF 1106 Test Three – Geometry
Name _________________________________________
You may use a calculator on this exam, but make sure to put your answer in the format requested where
appropriate.
1. Label the boxes with the prefixes used to convert among metric measures.
UNIT (M, L, G)
2. Convert the following measures:
a. 63 cm = _______ mm
b. 63 dg = ________ cg
c. .03 L = ________ kl
__________3. If the aquarium filter circulates 4.52 L of water each day, how many KL does the filter
circulate each week?
4 – 8. Match the following description with a angle type from the box.
Note that you will not use all the answer choices.
a. Complementary angles
__________ 4. Two angles whose measures add to 180°
b. Supplementary angles
__________ 5. Two angles that share a common side
__________ 6. Two non-adjacent angles formed by intersecting lines
7. Use the diagram and the angle types from the box for 7a and 7b:
c. Vertical angles
d. Alternate Interior angles
e. Alternate Exterior angles
1
4
f. Adjacent angles
2
3
g. Interior angles
h. Exterior angles
__________ 7a. Angle 1 and angle 2
__________ 7b. Angle 4 and angle 2
j. Corresponding angles
8 – 11. Use the diagrams to determine the measure of angle x.
__________ 8.
x
125°
__________ 9.
125°
x
__________ 10. (Regular Polygon)
x
__________ 11. (Regular Polygon)
x
__________12. Use the diagram to find the length of side x if the two triangles are similar.
9
7
x
4
13 – 15. Determine the perimeter (circumference) of the shapes described. You may find it helpful to draw a
diagram.
__________ 13. A circle with radius 8 in. (answer in terms of pi.)
__________ 14. An equilateral triangle with a side of 4.8 cm.
__________ 15. An isosceles triangle with two sides of 4 feet and a third side of 18 inches.
Give your answer in feet.
16 – 18. Find the area of the shapes shown.
__________ 16.
10 in.
14 in
__________ 17.
5 in
6 in
8 in
__________ 18.
12 cm
20 cm
6 in
_______________ 19. Find the area of the shaded region given that the polygon is a square with sides
of 8 inches. Give your answer in terms of pi.
20 – 22. Find the volume of the given shape.
__________ 20.
5 ft
6 ft
__________ 21a. In ft3
__________ 21b. In yd3
1 yd
6 yds
__________ 22.
12cm
12cm
2 ft
__________ 23. Determine the sum of the measures of the interior angles of a decagon.
__________ 24. Determine the measure of each interior angle of a regular decagon.
__________ 25. Sally added a 10 foot by 12 foot concrete patio to the back of her house.
If the concrete is 3 inches deep and the cost of concrete is $27.45 per cubic foot,
how much did Sally pay for the concrete for her patio? (round to the nearest dollar)
BONUS: Determine the length of side x.
10
__________ Ans.
x
8
4
ANSWERS: NOTE – make sure to add “units” to the following where applicable
1. khdudcm 2. a) 630 b) 630 c) .00003 3) .03164 4. b 5. f 6. c 7a) j (corresponding angles) 7b)d
8) 35 9) 70 10) 135 1) 60 12) 14 13) 16 π 14) 14.4 15) 9.5 16) 25π 17 55 18) 96 19) 64-16π
20) 37.50π 21a) 108 21b) 4 22) 624 23) 1440 24) 144 25) $ 823.50 Bonus: 5 1/3