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#1 Help Me ! » Help Me! geometry review » 2021-06-23 08:21:51

zemole
Replies: 8

Due to current family matters and certain personal issues, I'm in a steep time crunch and need help with answers( i just need answers, no this is not homework but simply a review). if it is no trouble I would like to know how you got your answers.

I have left out questions I can do on my own easily.
file:///C:/Users/skull/Downloads/geometry%20pictures.pdf
This link is for the pictures for the problems that have them( they are out of order but they are labeled for which question they belong to)

1. Two angles are complementary. The smaller angle is  35 degrees less than the larger angle. What is the measure of the larger angle?

A. 27.5 degrees
B. 55 degrees
C. 62.5 degrees
D. 125 degrees



3. In the figure shown, AC is congruent to CE .  D is the midpoint of CE(with a line over it).  DE = 5 and BC = 2 .
What is the measure of AB(with a line over it)?


A. 5
B. 7
C. 8
D. 10




6. Calculate the area of the regular octagon shown.


A. 21.9 square meters
B. 48.0 square meters
C. 91.2 square meters
D. 350.4 square meters

7. The apothem of a regular 9-sided figure is 6 feet and the area is 117.67 square feet. What is the perimeter of the regular 9-sided figure? 

A. 4.36 feet
B. 19.61 feet
C. 39.22 feet
D. 54.00 feet

8. Select which statement is true about the relationship between the measures of  (all letters have small triangles with an open end facing the letter) a and b in the diagram shown.



A. The measure of  a    is greater than the measure of  b  .
B. The measure of  b  is less than the measure of a .
C. The measure of  b    is equal to the measure of  a  .
D. Cannot be determined without any other calculations.



10. In the diagram shown below,  PN   is parallel to JQ  , KN=16 centimeters, PN=8 centimeters, and JQ=14 centimeters.



What is the length of  NQ?

A. 28 cm
B. 12 cm
C. 9.1 cm
D. 7 cm

11. Which is the contrapositive of the following statement? If quadrilateral ABCD is a rectangle, then quadrilateral ABCD is a square.

A. If quadrilateral ABCD is a square, then quadrilateral ABCD is a rectangle.
B. If quadrilateral ABCD is not a square, then quadrilateral ABCD is not a rectangle.
C. If quadrilateral ABCD is not a rectangle, then quadrilateral ABCD is not a square.
D. If quadrilateral ABCD is not a square, then quadrilateral ABCD is a rectangle.

12. How does the sum of the exterior angles of a square compare to the sum of the exterior angles of a pentagon?

A. The sum of the exterior angles of a square is greater.
B. The sum of the exterior angles of a pentagon is greater.
C. The two sums are equal.
D. There is not enough information to compare the two sums.



14. What is the value of x in this diagram?



A. 60 degrees
B. 72 degrees
C. 90 degrees
D. 120 degrees

15. What is the length of the line segment with endpoints  (-8,6)and (-10, -1)?

A. 53
B. square root of 373
C. square root of 53
D. 373

16. A right circular cylinder has a base diameter of 12 meters and a height of 16 meters. What is the approximate total lateral surface area of the cylinder? 

A. 602.9 meters squared(this goes for all)
B. 829.4
C. 1507.2
D. 2034.7

17. The volume of a cone is 218 cubic centimeters and the height of the cone is 13 centimeters. What is the radius of the cone to the nearest whole number? 

A. 4 cm
B. 5 cm
C. 8 cm
D. 16 cm

18. In the diagram shown, a 12-foot slide is attached to a swing set. The slide makes a 65 degree angle with the swing set. Which answer most closely represents the height of the top of the slide?

SIN 65degrees= 0.91(squiggly = this goes for all functions)
COS 65 degrees =0.42
TAN 65 degreesv=2.14

A. 5.0 feet
B. 5.6 feet
C. 10.9 feet
D. 25.7 feet

19. A regular hexagon is inscribed in a circle with a radius of 10 meters (as shown). What is the length of each side of the hexagon?




A. 5 meters
B.5 square root of three meters
C. 10 meters
D. Cannot be determined

20. Calculate the area of the shaded region in the figure shown.



A. 144-54 square root of three square meters
B. 144-18 square root of three square meters
C. 144-6 square root of three square meters
D. 54 square root of three square meters

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