1. Volusia Virtual School
Geometry
Volusia Virtual School

2. 1. If one angle of a triangle is larger than another angle, then the side opposite the larger angle is longer than the side opposite the smaller angle. Use this fact to help you list the sides of triangle CDE in order from greatest to least. (The figure may not be drawn to scale.)

3. 1. If one angle of a triangle is larger than another angle, then the side opposite the larger angle is longer than the side opposite the smaller angle. Use this fact to help you list the sides of triangle CDE in order from greatest to least. (The figure may not be drawn to scale.)
m < C = 64, m < E = 62
Then side c, side e, side d

4. 2. What is the sum of the number of faces, the number of vertices and the number of edges in a square pyramid?

5. 2. What is the sum of the number of faces, the number of vertices and the number of edges in a square pyramid?
Faces = 5
Vertices =5
Edges = 8
Then = 18

6. 3. SHORT RESPONSE Is quadrilateral ABCD a parallelogram
SHORT RESPONSE   Is quadrilateral ABCD a parallelogram? Explain your answer briefly. (The figure may not be drawn to scale.)

7. 3. SHORT RESPONSE Is quadrilateral ABCD a parallelogram
SHORT RESPONSE   Is quadrilateral ABCD a parallelogram? Explain your answer briefly. (The figure may not be drawn to scale.)
No. Opposite angles are congruent but consecutive angles do not add 180 degrees

8. 4. Does the figure have line symmetry, rotational symmetry, or both?

9. 4. Does the figure have line symmetry, rotational symmetry, or both?
Rorational

10. 5. What is the value of ? (The figure may not be drawn to scale.)

11. 5. What is the value of s (The figure may not be drawn to scale.)
Then s = 36 degrees

12. 6. If what is the length of side in feet
6.   If what is the length of side in feet? Round to the nearest tenth of a foot. (The figures may not be drawn to scale.)

13. 6. If what is the length of side in feet
6.   If what is the length of side in feet? Round to the nearest tenth of a foot. (The figures may not be drawn to scale.)
EF2 =
Then EF2 = 7.2
EF = 2.7 ft

14. SHORT RESPONSE   A 14-foot ladder is placed against the side of a building, forming a right triangle as shown in Figure 1 below. The bottom of the ladder is 8 feet from the base of the building. In order to increase the height to which the ladder reaches, the ladder is moved 5 feet closer to the base of the building as shown in Figure 2.
Round to the nearest foot, how much farther up the building does the ladder now reach? Show how you arrived at your answer. (The figures may not be drawn to scale.)

15. SHORT RESPONSE   A 14-foot ladder is placed against the side of a building, forming a right triangle as shown in Figure 1 below. The bottom of the ladder is 8 feet from the base of the building. In order to increase the height to which the ladder reaches, the ladder is moved 5 feet closer to the base of the building as shown in Figure 2.
Round to the nearest foot, how much farther up the building does the ladder now reach? Show how you arrived at your answer. (The figures may not be drawn to scale.)
Using Pythagorean Theorem
Figure wall = 11.49
Figure wall = 13.67
Then – = 2.18
Answer : 2 ft

16. EXTENDED RESPONSE A new street is going to be constructed to connect Main Street, which runs in the east-west direction, and North Boulevard, which runs in the north-south direction, as shown in the diagram below. The construction cost has been estimated at $90 per linear foot, excluding the new intersections. Those are estimated to cost $1,400,000 each. (The figure may not be drawn to scale.)
Part A What type of triangle is bounded by the new street, North Boulevard, and Main Street? How do you know?
Part B Let x represent the length of the new street. What is the name of the formula that can be used to find the value of x? Use that formula to write an equation that can be solved for x.
Part C What is the length of the new street to the nearest thousandth of a mile? Convert that distance to the nearest foot. Show your work.
Part D Estimate the cost of constructing the new street. Be sure to include the costs for intersections. Show your work and round the cost to the nearest thousand dollars.

17. EXTENDED RESPONSE   A new street is going to be constructed to connect Main Street, which runs in the east-west direction, and North Boulevard, which runs in the north-south direction, as shown in the diagram below. The construction cost has been estimated at $90 per linear foot, excluding the new intersections. Those are estimated to cost $1,400,000 each. (The figure may not be drawn to scale.)
Part A What type of triangle is bounded by the new street, North Boulevard, and Main Street? How do you know?
Part B Let x represent the length of the new street. What is the name of the formula that can be used to find the value of x? Use that formula to write an equation that can be solved for x.
Part C What is the length of the new street to the nearest thousandth of a mile? Convert that distance to the nearest foot. Show your work.
Part D Estimate the cost of constructing the new street. Be sure to include the costs for intersections. Show your work and round the cost to the nearest thousand dollars.
Right, the street are perpendicular
Pythagorean Theorem
C 2 = Then c =10 miles or ft
90 x = 4,752,000.
2 Intersections = 2 x 1,400,000 = 2,800,000.
Then total cost is 7,552,000

18. SHORT RESPONSE A homeowner has a triangular garden area that is bordered on two sides by an existing fence. The graph shows a sketch of the garden, with each unit on the graph representing one standard 8-foot section of fence. The homeowner has decided to add a fence to the long edge of the garden, to protect the garden from a new puppy.
How many 8-foot sections of new fencing are needed, and what can be done if the answer is not a whole number? Explain your reasoning.

19. SHORT RESPONSE   A homeowner has a triangular garden area that is bordered on two sides by an existing fence. The graph shows a sketch of the garden, with each unit on the graph representing one standard 8-foot section of fence. The homeowner has decided to add a fence to the long edge of the garden, to protect the garden from a new puppy.
How many 8-foot sections of new fencing are needed, and what can be done if the answer is not a whole number? Explain your reasoning.
Existing fence 32 ft and 16 ft
C2 =
C = ft
35.78 / 8 = 4.47
5 sections must be bought.
One of those 5 sections can be cut

20. 10. Triangle JKL has vertices at and What is the perimeter of the triangle? Carry any intermediate calculations out to the nearest thousandth and round the final answer to the nearest tenth of a unit.

21. 10. Triangle JKL has vertices at and What is the perimeter of the triangle? Carry any intermediate calculations out to the nearest thousandth and round the final answer to the nearest tenth of a unit.
JK = 11 units
JL = 8 units
KL2 =
Then KL =

22. 11. The cost to install and use a premium satellite-television service in a particular city is shown in the graph. Find the slope and y-intercept of a line joining the points on the graph and explain what each represents.

23. 11. The cost to install and use a premium satellite-television service in a particular city is shown in the graph. Find the slope and y-intercept of a line joining the points on the graph and explain what each represents.
Y-intercept = 150. Cost to install
Slope = 225 – 150 = 75. Cost per month
1 - 0

24. 13. A student borrowed money for medical school costs
13.   A student borrowed money for medical school costs. The student agreed to work in a county with a depressed economy, so the loan is interest free, requiring only regular monthly payments after graduation. After 60 monthly payments, the loan balance was $20,020. After 85 monthly payments, the loan balance was $11,695.
What is the slope of the line passing through the points representing the loan balance? Show the calculation and explain what the slope represents.

25. 13. A student borrowed money for medical school costs
13.   A student borrowed money for medical school costs. The student agreed to work in a county with a depressed economy, so the loan is interest free, requiring only regular monthly payments after graduation. After 60 monthly payments, the loan balance was $20,020. After 85 monthly payments, the loan balance was $11,695.
What is the slope of the line passing through the points representing the loan balance? Show the calculation and explain what the slope represents.
Slope = – = 7500 = -300
60 –
It represents the amount of money the student is paying off. Each time the student pays the loan, the less money is owed