# Properties of Geometric Shapes & Angles Chapter Exam

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#### Question 1 1. Mitchell has decided to give his dog a longer leash to roam in the backyard. If the new 7 ft. leash is tied to the center pole in the yard, how much area in the yard does the dog have to move around?

#### Question 2 2. Judy is baking a round cake for her niece's birthday and the recipe requires her to coat the bottom of the pan with flour. If the cake pan has an 8-inch diameter, what is the area that she will need to cover with flour on the bottom of the pan?

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Question 3
3.
The isosceles triangle pictured below shows one angle measuring 40 degrees. What is the measure of angle *x*?

#### Question 4 4. What type of triangle is pictured below?

#### Question 5 5. What is the perimeter of the pictured square?

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#### Question 6 6. The pictured shape is a:

#### Question 7 7. Greg is standing next to a 40 ft. tree. The sun casts a 5 ft. shadow of Greg, who is 6.4 ft. tall. How long is the tree's shadow?

#### Question 8 8. Study the given diagram. Find the value of x, the distance between T and E.

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Question 9
9.
Consider the figure below, where

- Angle 4 = 12m - 4
- Angle 5 = 10m + 20

Calculate the measure of Angle 5.

#### Question 10 10. What is the relationship between Angle 2 and Angle 7?

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#### Question 11 11. Determine if triangle VEZ is similar to triangle MAG.

#### Question 12 12. Is triangle ABC similar to triangle DEF?

#### Question 13 13. A right triangle has one leg that measures 7 inches, and the second leg measures 10 inches. How long is the hypotenuse?

#### Question 14 14. A right triangle has one leg that measures 13 centimeters, and the hypotenuse is 17 centimeters. How long is the missing leg?

#### Question 15 15. What is the line, as shown in the picture, called?

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#### Question 16 16. What is the type of line that touches but doesn't cross a circle called?

#### Question 17 17. If a cookie sheet holds 6 cookies along one side and 4 cookies along the other, how many cookies can it hold in total?

#### Question 18 18. What is the area of the pictured rectangle?

#### Question 19 19. In the figure below, Angle 7 = 15x and Angle 10 = 9x + 30. Determine the measure of Angle 10.

#### Question 20 20. In triangle GBN, Angle G is seven more than three times a number, Angle B is five more than four times the number, and Angle N is twelve less than five times the number. Solve for the measure of Angle G.

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Question 21
21.
Rectangle HYGT has a perimeter of 170 inches. If the length is 10*x* - 7 and the width is 6*x* + 12, how wide is the rectangle?

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Question 22
22.
Triangle POX has a perimeter of 15 inches. Side PO is 2 less than *x*, an unknown number. Side OX is 2 greater than *x*, and side PX can be expressed as 2*x* - 5. Find the length of each side of triangle POX (in the order PO, OX, PX).

#### Question 23 23. Which line is the transversal?

#### Question 24 24. Which of the following is a pair of parallel lines?

#### Question 25 25. Circle D has a radius of 17 cm. What is the circumference of circle D?

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####
Question 26
26.
In the right triangle pictured below, what is the value of angle *x*?

#### Question 27 27. The pictured shape is a:

#### Question 28 28. Brad places a mirror on the ground 10 ft. away from the base of a bush at a botanical garden. He walks back towards the bush until he can see the top of the bush in the mirror. If Brad is standing 4 ft. away from the mirror, and is 6 ft. tall, how tall is the bush?

#### Question 29 29. What is the relationship between Angle 1 and Angle 7?

#### Question 30 30. Mary claims that the triangles below are similar by AA. Do you agree or disagree with Mary?

#### Properties of Geometric Shapes & Angles Chapter Exam Instructions

Choose your answers to the questions and click 'Next' to see the next set of questions. You can skip questions if you would like and come back to them later with the yellow "Go To First Skipped Question" button. When you have completed the practice exam, a green submit button will appear. Click it to see your results. Good luck!