Download Name: Geometry Final Review 1. List all properties of a rhombus. 2

Name:
Geometry Final Review
1. List all properties of a rhombus.
2. List all properties of a rectangle.
3. a)Which of the following have congruent diagonals?
b) Which of the following have perpendicular diagonals?
**Square, rectangle, rhombus, parallelogram**
4. How do you find the measure of the interior angles of a polygon?
5. What do the exterior angles of any polygon add up to?
6. How do you find the median of a trapezoid?
7. What is a secant and tangent of a circle?
8. A circle with C=20π has an area of 40π. True or False?
9. What is the relationship between a chord and a diameter of a circle?’
10. An inscribed angle whose measure is 90 degrees, intercepts an arc of measure 45
degrees. True or False?
11. Write an equation in point-slope form for the perpendicular bisector of the
segment with the endpoints L(4, 0), M(–2, 3).
12. If the height of a triangle is 4cm and the area is 24cm2, what is the length of the
base?
13. Find the sum of the interior angles in a convex dodecagon.
14. Find the measure of one of the interior angles of a regular polygon with 5 sides.
15. In an isosceles right triangle, if the hypotenuse is 12cm, what is the length of a
base? (exact answer)
16. What is the area of an equilateral triangle that has a side length of 7cm?
17. If the measure of an altitude of an equilateral triangle is 𝟓√𝟑 m. What is the
perimeter?
18. Given that line p is the perpendicular bisector of XZ; XY  4n, and YZ  14, find n.
19. Suppose the chord of a circle is 24 inches long and is 16 inches from the center,
find the length of the radius.
20. How many sides does a regular polygon have if the measure of one interior angle
is 160 degrees?
For questions 21 – 22, use the figure below.
21. What arc (s) measure 54 degrees?
22. Find the measure of arc DE.
23.
Find the measure of arc BCD.
24. Find the area and perimeter of the
figure.
25. Find the measure of one interior and one exterior angle of a hexagon.
26. In triangle ABC, m⦟A = 90ᵒ, m⦟B=45ᵒ. If AB = 24 inches, find AC.
27. Find the area and perimeter.
28. If ABCD is a parallelogram, which sides are congruent?
29.
30. SV, TV, and UV are perpendicular bisectors of the sides ofPQR. Find RV.
31. Find HI, GE and mHGD.
32. What is the exact measure of the diagonal of a rectangle with sides of length 2
inches and 3 inches?
33. The measure of an altitude of an equilateral triangle is 7√𝟑 in. Find the exact
area.
34. Find the exact area and perimeter
of the figure.
35. A chord of a circle is 20 inches long and 50 inches from the center of the circle.
What is the radius of the circle?
36. Find the area of the figure.
C is the center of the circle. AB is the diameter. ED is a tangent. AD and FD are secants.
37. Find DE.
38. Find mADF.
39. Find GF.
40. How many sides does a regular polygon have if the measure of one interior angle
is 144ᵒ.
41.The aspect ratio of a TV screen is the ratio of the width to the height of the
image. A regular TV has an aspect ratio of 4 : 3. Find the height and width of a
60-inch TV screen to the nearest tenth of an inch.
42. Find the missing side lengths. Give your answer in simplest radical form. Tell
whether the side lengths form a Pythagorean Triple.
43. Find the measure of
angle ABC.
44. What is the area of a triangle whose base is 12 inches and height is 14 inches?
45. Tell whether the measures can be the side lengths of a triangle. If so, classify the
triangle as acute, obtuse, or right.
15, 18, 20
46. Find the value of x.
51. Find the area of EFG.
52. Name a major arc and its measure.
53. An ______________________ is a transformation that does not change the
shape or size of a figure.
54. Which types of transformations do not change the size or shape of the original
figure?
55. Find the area of a regular hexagon with a side length of 10 inches.
56. Find the area of a regular pentagon with an apothem of 8 inches.
57. What is the area of a square in which each diagonal is 6m?
58.
59. Find x.
60. Find a.
61.
62.
63. Find the values of x and y for
parallelogram ABCD.
64. Find the exact area of the figure to the
left.
65.
66. Find the length of arc AB.
67. Find the area of the shaded region.
68.
69.
70.