Math Geometry 11.1
1. If line A is parallel to line B and the measure of angle 1 is 107 degrees, what is the measure of angle 2?
A. 73 degrees
B. 83 degrees
C. 107 degrees
D. 253 degrees
2. Triangles X and Y are similar triangles. If A = 48o and B = 78o, what is C?
A. 48o
B. 54o
C. 58o
D. 63o
3. If line A is parallel to line B, which of the following is NOT true?
A. 1 = 3
B. 2 = 4
C. 1 + 2 = 3 + 4
D. 1 = 4
4. What is the length of side B?
5. Segment CB is tangent to Circle A at B in the circle above. What is the length of side x?
A. 8
B. 9
C. 16
D. 7
6. What is the measure of angle C in the circle above?
A. 30o
B. 35o
C. 40o
D. 60o
7. What is the length in meters of arc ABC? (use 3.14 for π)
A. 8.48m.
B. 9.42m.
C. 15.7m
D. 18.84m.
8. If ZWX = 52o, what is the angle measure of arc XYZ?
A. 26o
B. 52o
C. 104o
D. 48o
9. What is the sin of A?
A. 0.6666
B. 0.5548
C. 0.8322
D. 1.202
10. What is the measure of A?
A. 20o
B. 25o
C. 30o
D. 70o
11. What is the measure of side A?
A. 168.98 cm.
B. 169.6 cm.
C. 172.4 cm.
D. 200 cm.
12. Part A In a right isosceles triangle ABC, A = B. What is the tangent of A? Explain or show your answer. Part B If side A is equal to 4, what is the perimeter of the triangle (round to 3 decimal places). Explain or show your answer.
13. What is the distance between the 2 points above?
A. 6.28
B. 6.46
C. 6.48
D. 7.62
14. What is the midpoint of (-2,6) and (4,11)?
A. (1, 8.5)
B. (8.5, 1)
C. (2, 5)
D. (5, 2)
15. Which of the following equations is perpendicular to the line y = 3x - 6?
A. y = 3x + 6
B. y = 1/3x + 6
C. y = -1/3x -3
D. y = -3x - 3
16. What is the y intercept of the equation of the line that passes through point (-3, 6) and has a slope of ½?
17. A figure graphed in a coordinate plane is translated 2 units to the left. How is its area affected?
A. The area stays the same.
B. The area doubles.
C. The area is halved.
D. The area is tripled.
18. Part A: What are the coordinates of (-4, 7) reflected across the x axis? Part B: What are the coordinates of (-4, 7) reflected across the x and y axis? Part C: What is the length of the line that connects (-4, 7) with the coordinate found in Part B (round to 2 decimal places)
19. Which of the following shows a shape and it’s reflection across the y axis?
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20. Which of the following is the shape above rotated 270 degrees clockwise?
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21. What is the length of side C of the above triangle?
A. 9
B. 10
C. 14
D. 24
22. The rectangle above is divided into rectangles and right triangles. Part A Find the length of side A. Explain your answer Part B Find the length of side B. Explain your answer.
23. What is the surface area of the pyramid above?
A. 40
B. 50
C. 56
D. 80
24. Eddie mowed two lawns. The smaller lawn had an area of 400 square feet and the larger lawn had an area of 600 square feet. If both lawns had the same width, how did the length of the larger lawn compare to the length of the smaller lawn?
A. It is 1 ½ times as long.
B. It is half as long.
C. It is twice as long.
D. It is 2 ½ times as long.
25. Mandy baked a birthday cake and cupcakes. The circumference of the birthday cake is 50.24 inches and the circumference of a cupcake is 12.56 inches. How does the diameter of the smaller cupcake compare to the diameter of the cake?
A. It is twice as wide.
B. It is ¼ as wide.
C. It is 4 times as wide.
D. It is ½ as wide.
26. If the height of the triangle above remains the same and the base of the triangle is doubled, by how much will the area of the triangle increase?
A. 2
B. 1/2
C. 4
D. ¼
27. The tents are similar triangles. What is the height of the larger tent using the information about the smaller?
A. 16 feet
B. 18 feet
C. 15 feet
D. 20 feet
28. The parallelograms above are similar. What is the length of side WZ ?
A. 18 in
B. 12 in
C. 7 in
D. 9 in
29. Ricky wanted to measure the height of the tree by its shadow. He is 4 feet tall and he measured his shadow to be 6 feet. At the same time of the day, he measured the shadow of the tree to be 36 feet. Using proportional reasoning, how tall did he estimate the tree to be?
A. 18 ft
B. 12 ft
C. 24 ft
D. 29 ft
30. What is the volume of the rectangular solid below?
A. 10 cubic inches
B. 25 cubic inches
C. 30 cubic inches
D. 62 cubic inches
31. The fish tank above is half filled with water. What is the volume of water in the tank?
A. 216 cubic inches
B. 432 cubic inches
C. 54 cubic inches
D. 23 cubic inches
32. A neighborhood water tank is a cylinder with a diameter of 16 feet and height of 28 feet. What is the volume of the tank in cubic feet?
A. 5,626.88 cubic feet
B. 2,813.44 cubic feet
C. 244 cubic feet
D. 22,507.52 cubic feet
33. If the volume of the cube is 64 cubic centimeters, how many centimeters wide is the cube?
34. A neighborhood water tank is a cylinder with a diameter of 16 feet and height of 28 feet. What is the surface area of the tank?
A. 1,808.64 ft2
B. 4,421.12 ft2
C. 26,124.8 ft2
D. 3,216.36 ft2
35. Cory wants to wrap the pyramid in paper. What is the surface area of the pyramid?
A. 40 square feet
B. 46 square feet
C. 56 square feet
D. 96 square feet
36. The diagram above shows a trapezoidal garden with a semicircular fish pond in the middle of it. What is the area of the garden not including the fish pond?
A. 75.44 square meters
B. 81.72 square meters
C. 86.44 square meters
D. 62.88 square meters
37. What is the area of the figure above?
A. 60.75 sq cm
B. 75 sq cm
C. 21.5 sq cm
D. 68.6 sq cm
38. What is the area of the shape created with a square and a semicircle above?
A. 64.26 cm2
B. 54.84 cm2
C. 50.13 cm2
D. 36 cm2
39. Mr. Parker wants to put fencing around his garden pictured above. The area of his garden is ¾ of a circle. Part A What is the perimeter of the shaded garden area above? Show your work or explain your answer. Part B What is the area of the garden? Show your work or explain your answer.
40. Marsha is using a straightedge and a compass to make the construction below. Which best describes the construction she is making?
A. A line through P perpendicular to line l
B. A line through P intersecting line l
C. A line through P congruent to line l
D. A line through P parallel to line l
41. What is the first step in constructing the angle bisector of angle A?
A. Draw ray AD
B. Draw a line segment connecting points B and C.
C. From points B and C, draw equal arcs that intersect at D.
D. From point A, draw an arc that intersects the sides of the angle at points B and C.
42. Scott is constructing a line perpendicular to line l from point P. Which of the following should be his first step?
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