Spring Final REVIEW

Spring Final REVIEW
Name:_____________________________
Chapter 7
2. Consecutive angles in a parallelogram
are always ____________.
1. State which theorem you can use to show that
the quadrilateral is a parallelogram.
a) Parallelogram Opposite
Angles Converse
b) Parallelogram Opposite
Sides Converse
a) Congruent Angles
b) Complementary Angles
c) Supplementary Angles
d) Vertical Angles
c) Parallelogram Diagonals
Converse
d) Opposite sides Parallel
and Congruent Theorem
3. If 𝑂𝑁 = 6𝑥 − 6, 𝐿𝑀 = 5𝑥 + 2, 𝑁𝑀 = 𝑥 + 5, and 𝑂𝐿 = 3𝑦 + 7, find the values of 𝑥 and 𝑦 given that
LMNO is a parallelogram.
4. Find the value of x.
5. Find the value of x.
6. Classify the special quadrilateral.
7. Classify the special quadrilateral.
Spring Final REVIEW
Name:_____________________________
Chapter 8
8. Tell whether the triangles are similar.
10. Given that ∆𝐴𝐵𝐶 ~∆𝐷𝐸𝐹, solve for 𝑥 and 𝑦.
9. Find the length of ̅̅̅̅
𝐴𝐵.
11. The perimeter of ∆𝑃𝑄𝑅 is 56, 𝑃𝑄 = 16,
∆𝑃𝑄𝑅 ~∆𝑆𝑇𝑈, 𝑆𝑇 = 12. What is the
perimeter of ∆𝑆𝑇𝑈?
13. ∆𝐴𝐵𝐶 ~ ∆𝑅𝑆𝑇, find the value of 𝑥.
12. Shown below is an illustration of the
____________.
a) AA Similarity
b) SAS Congruence
c) SSS Similarity
d) SAS Similarity
14. A rectangular yard is fenced using 319 feet of
custom fence. Your friends really like the fence
and decide to fence in their yard using the same
fence. Their yard is similar but has a scale factor
8
of 5 times the size of yours, how much fence, to
the nearest foot, will they have to purchase?
15. ∆𝐴𝐵𝐸 ~ ∆𝐶𝐷𝐸. Find the length of altitude
̅̅̅̅
𝑁𝐸 .
Spring Final REVIEW
Name:_____________________________
Chapter 9
16. Find the value of 𝑥 and 𝑦. Write
your answer in simplest form.
17. Find the value of 𝑥 and 𝑦. Write
your answer in simplest form.
19. Find the length of the hypotenuse of the
triangle.
21. Find the value of x. Write your answer in answer
in simplest form.
18. Find the value of 𝑥.
20. Find the value of 𝑥. Write your answer in
simplest form.
22. You are holding a kite in your hand. The angle
of elevation from your hand to the kite is 40° and
the distance to the kite is 295 feet. Your hand is 4
feet above ground. How high is the kite? Round
your answer to the nearest tenth of a foot.
24.Find the 𝑚 < 𝐻and 𝑚 < 𝐺.
23. Find 𝑤.
25. An adventure company wants to run a zip line from the top
of one building that is 130 feet tall to the top of another
building that is 30 feet tall. The two buildings are 72 feet apart.
Estimate the length (in feet) of the zip line. Round your answers
to the nearest tenth.
Spring Final REVIEW
Name:_____________________________
Chapter 10
̂ = 105° and 𝑟 = 10 yards.
26. In circle 𝑃, 𝑚𝐴𝐵
̂ . Round your answers to
Find arc length of 𝐴𝐵
two decimal places.
27. Find the value of 𝑥.
28. Write the standard equation of a circle that
has center of (−4, −2) and a radius of 8.
29. Write the standard equation of a circle that
has center of (8, 1) and a radius of 5.
30. Name a radius, chord, diameter, secant and
a tangent.
31. In the diagram, 𝑄𝑅 = 𝑆𝑇 = 144, 𝐶𝑈 = 3𝑥,
and 𝐶𝑉 = 6𝑥 − 21. Find the value of 𝑥.
33. Find the value of 𝑥.
32. In the diagram, 𝑚 < 𝐽 = 39.5°.
̂.
Find the 𝑚𝐽𝐾
Spring Final REVIEW
Name:_____________________________
Chapter 11
34. Convert
2𝜋
3
̂ . Round your
36. Find the arc length of 𝐹𝐸
answer to two decimal places.
radians to degrees.
𝜋
35. Convert 6 radians to degrees.
37. Find the area of the regular polygon. Round
your answers to two decimal places, if necessary.
38. Find the area of the composite figure. Round
your answer to two decimal places, if necessary.
39. Wallpaper is applied to the wall surrounding a
Norman window. How many square feet of
wallpaper are required to cover the wall
surrounding the window?
40. About 78,000 people live in one-fourth of a
region with a 15 mile radius. Estimate the
population density in people per square mile.
41. All linear dimensions of a regular polygon are
1
multiplied by 4. Describe the area, in square
units, of the new polygon?
42. A water wheel has a radius measuring between
13 feet and 24 feet. The wheel is about to turn
7𝜋
9
radians from its starting position before getting
stuck. Which distances could the wheel spin before
it would no longer be about to move?
a) 31.76 ft
c) 56.20 ft
b) 61.09 ft
d) 63.53 ft
43. The diameter of ⨀𝑄 is 14 cm. Find the arc
̂.
length of 𝑃𝑅
Spring Final REVIEW
Name:_____________________________
Chapter 12
Describe the cross section formed by the intersection of the plane and the solid.
44.
45.
47. Find the volume, lateral area, and surface
area of the cylinder.
49. The volume of a right cylinder is 300𝜋
cubic feet. The dimension of the radius is
doubled and the height remains the same to
create a new right circular cylinder. What is the
volume of the new right circular cylinder?
51. Find the volume, lateral area and surface
area of the rectangular prism.
46.
48. Find the volume and surface area
composite solid.
50. Describe how tripling all linear
dimensions affects the volume of the
cylinder.
52. Find the volume and surface area of the
composite solid.