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# PSAT Math - Geometry and Measurement: Tutoring Solution Chapter Exam

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!

### Page 1

#### Question 1 1. Triangle HYV and triangle AYB are similar by the AA similarity theorem. What is the value of x?

#### Question 2 2. Find the shortest distance between a and b by drawing a line connecting them and using the Pythagorean Theorem.

#### Question 3 3. Which of the following graphs represents x = -3?

#### Question 4 4. Find the distance between the two points (4, 1) and (10, 9).

#### Question 5 5. In the figure below, Angle 13 = 10y and Angle 11 = 3y + 11. Determine the measure of Angle 16.

### Page 2

#### Question 6 6. The diagonals of a _____ and _____ will form right angles.

#### Question 7 7. A triangle has side lengths 0.3, 0.4, and 0.5. Do these side lengths form a Pythagorean Triple?

#### Question 8 8. 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 9 9. Which graph has a positive x-intercept and a negative y-intercept?

#### Question 10 10. Jerry wants to buy a TV online, but the ad for the TV he wants to buy does not say what the screen size is. He knows that TV screens are measured diagonally. This image shows the length and width of the screen, so he decides to use the Pythagorean Theorem to determine the diagonal screen size. What is the screen size of the TV that Jerry wants to buy (to the nearest inch)?

### Page 3

#### Question 11 11. What is the volume of a box with no lid and all sides of equal length that has a surface area of 125 square meters?

####
Question 12
12.
Consider the figure below, where

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

Calculate the measure of Angle 5.

#### Question 13 13. Which kind of transformation stretches or shrinks the graph of the function?

#### Question 14 14. Which of the following reflects a pair of perpendicular lines?

#### Question 15 15. Study the given diagram. Find the value of x, the distance between T and E.

### Page 4

#### Question 16 16. The slope for a horizontal line would be which one of the following?

#### Question 17 17. Which two lines are parallel?

#### Question 18 18. What is the relationship between Angle 1 and Angle 7?

#### Question 19 19. Brad places a marker on the ground 10 ft. away from the base of a tree at a botanical garden. He walks back towards the tree until he is standing 4 ft. away from the marker, and he is 6 ft. tall. Assuming that the top of Brad's head, the top of the tree, and the marker form two simliar triangles, how tall is the tree?

#### Question 20 20. In the figure shown below, the graph of the yellow function is a translation of the graph of the blue function. If the expression for the blue function is y(x) = b(x), which of the following is the equation of the yellow function?

### Page 5

#### Question 21 21. Which of the following is an example of an ordered pair?

#### Question 22 22. Which of the following choices is the distance formula?

#### Question 23 23. Sergeant Ketchup's billiards room is 15 feet wide and 25 feet long. How many square feet is the room in total?

#### Question 24 24. What is the special name for the coordinate (0,0)?

####
Question 25
25.
A bicycle wheel has a diameter of 26 inches. What is the circumference?

Note: Use 3.14 for π rather than the π key on a calculator.

### Page 6

#### Question 26 26. When the graph of f(x - 1) + 3 is changed into the graph of f(x + 1) + 3, the graph will shift in which direction?

#### Question 27 27. Circle D has a radius of 17 cm. What is the circumference of circle D?

####
Question 28
28.
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?

#### Question 29 29. If the short leg of a 30-60-90 triangle is 6, approximately how long is the hypotenuse?

#### Question 30 30. A graph of y = (1/3)|x| would exhibit which of the following characteristics.

#### PSAT Math - Geometry and Measurement: Tutoring Solution 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!