PSAT Math: Triangles & Trigonometric Ratios Chapter Exam

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!

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Question 1 1. Conclude whether triangle BEN is similar to triangle MAT.

Question 2 2. The isosceles triangle pictured below shows one angle measuring 40 degrees. What is the measure of angle x?

Question 3 3. Find the value of x, rounded to the nearest degree.

Question 4 4. What is x?

Question 5 5. Given triangles DAR and KMR. What is the value of y?

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Question 6 6. What is x?

Question 7 7. What type of triangle is pictured below?

Question 8 8. If the leg of a 45-45-90 triangle is 19, approximately how long is the hypotenuse?

Question 9 9. In the right triangle pictured below, what is the value of angle x?

Question 10 10. Find the value of x, rounded to the nearest tenth.

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Question 11 11. If the long leg of a 30-60-90 triangle is 23, approximately how long is the short leg?

Question 12 12. A right triangle has one leg that measures 13 centimeters, and the hypotenuse is 17 centimeters. How long is the missing leg?

Question 13 13. If the hypotenuse of a 45-45-90 triangle is 31, approximately how long is the leg?

Question 14 14. What type of triangle is pictured?

Question 15 15. The lines a and b are parallel lines of length 5 and 2. The lines d and e are parallel to one another, and both are perpendicular to a and b. What is the length of c?

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Question 16 16. In the picture shown below, there are three lines marking each side of the triangle. These lines give the indication that the triangle is:

Question 17 17. A flat screen television has a 50 inch diagonal and a height of 25 inches. How wide is the television?

Question 18 18. A triangle has side lengths 0.3, 0.4, and 0.5. Do these side lengths form a Pythagorean Triple?

Question 19 19. Find the value of x, rounded to the nearest tenth.

Question 20 20. What is x?

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Question 21 21. Determine if triangle VEZ is similar to triangle MAG.

Question 22 22. Triangle HYV and triangle AYB are similar by the AA similarity theorem. What is the value of x?

Question 23 23. In the pictured triangle, what ratio represents the cosine of theta?

Question 24 24. A baseball diamond has 90 feet between each base. How far will the catcher (standing at home plate) throw the ball across the diagonal to the second baseman at 2nd base?

Question 25 25. Find the value of x, rounded to the nearest degree.

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Question 26 26. 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 27 27. What is the trigonometric ratio for tangent?

Question 28 28. What is x?

Question 29 29. Find the value of x, rounded to the nearest tenth.

Question 30 30. What is the trigonometric ratio for sine?

PSAT Math: Triangles & Trigonometric Ratios 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!

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