NAME:_____________________ PERIOD:______
MODULE
8
Felgenhauer
Krueger
Modeling Geometric
715 STUDY GUIDE
1. Two sides of a triangle measure 25 cm
and 35 cm. Which of the following could
be the measure of the third side?
4. A cross section can be formed by the
intersection of a plane and which of the
following?
A 3 cm
C 8 cm
A point
B 6 cm
D 11 cm
B cone
C line
2. A triangle has two sides that measure
3 cm and 9 cm. Which of the following
could be the measure of the third side?
Select Yes or No.
A 3 cm
Yes
No
B 5 cm
Yes
No
C 7 cm
Yes
No
D 12 cm
Yes
No
Use the diagram for 5–6.
5. What is the measure of PVU?
3. The right rectangular prism below has a
square base.
________________________________________
6. QVP and PVU are _______ angles.
A Complementary
B Supplementary
C Vertical
D Adjacent
Name _______________________________________ Date __________________ Class __________________
7. A scale drawing for a rectangular parking lot measures 6.8 cm by 12.3 cm. The scale is 5
cm : 25 m. Find the area of the parking lot.
_______________________________________
8. The scale drawing below is the base of an office building.
The scale of the drawing is 1 unit : 6 feet.
Redraw the scale drawing using a scale of 1 unit : 4 yards. Use the grid above.
9. A triangle has angles measuring 30 and 90. The length of the included side is 6 cm. Tell
whether the conditions form a unique triangle, more than one triangle, or no triangle.
_______________________________________
10. In the space below, draw a triangle with angles 40 and 50, and a hypotenuse with a
length of 2 inches.
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Name _______________________________________ Date __________________ Class __________________
Use the figure for 11–12.
11. Describe the cross section of the cylinder by naming its shape.
_______________________________________
12. Is it possible for the cylinder to have a cross section in the shape of a rectangle? Explain.
______________________________________________________________________________________
_____________________________________________________________________________________.
Use the diagram for 13–14.
13. What is the measure of FBC?
_______________________________________
14. What is the relationship between ABC and CBD?
_______________________________________
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Name _______________________________________ Date __________________ Class __________________
MODULE 8 Modeling Geometric Figures
Module STUDY GUIDE Answer Key
1. D
2. A no, B no, C Yes, D No
3. A Yes, B No, C Yes, D Yes
4. B
5. 63
6. D adjacent
7. 2,091 m2
8. Students’ rectangles should be 3 units tall and 10 units wide.
9. a unique triangle
10. Students’ triangles should have angles measuring 40, 50and 90 and side lengths
measuring 2 inches, 1.3 inches, and 1.5 inches.
11. circle
12. Yes, if a vertical plane intersected the cylinder, the cross section would be a rectangle.
13. 150
14. Adjacent angles
Original content Copyright © by Houghton Mifflin Harcourt. Additions and changes to the original content are the responsibility of the instructor.
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