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CSET Math: Plane Euclidean Geometry 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!

Page 1

Question 1 1. Finding the bisector of an angle _____.

Question 2 2. Polygon A is 4 times smaller than polygon B. If one side of polygon B measures 20 inches, what does the matching side of polygon A measure?

Question 3 3. 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 4 4. A right triangle has one leg that measures 7 inches, and the second leg measures 10 inches. How long is the hypotenuse?

Question 5 5. 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?

Page 2

Question 6 6. Which theorem or postulate can be used to establish congruence with the pictured triangles?

Question 7 7. If the pictured triangles are congruent, what reason can be given?

Question 8 8. If triangle MNO is congruent to triangle PQR, CPCTC explains which of the following statements?

Question 9 9. What additional information do you need to prove that triangle ABC is congruent to triangle DEF using the HL theorem?

Question 10 10. In the pictured triangle, ∠A is 137 degrees and ∠B is 28 degrees. If side b is 71 units long, approximately how long is side a?

Page 3

Question 11 11. If the two triangles pictured below are similar, then what is x?

Question 12 12. In the pictured triangle, ∠A is 98 degrees and ∠B is 12 degrees. If side a is 84 units long, approximately how long is side b?

Question 13 13. In the pictured triangle, ∠A is 81 degrees and ∠B is 67 degrees. If side a is 34 units long, approximately how long is side b?

Question 14 14. In order to create an angle bisector, how many straight lines do you need to draw after setting up your problem using geometric construction?

Question 15 15. Which of the following measurements always remains the same in similar polygons?

Page 4

Question 16 16. If triangle MNO is congruent to triangle PQR, then what is the measure of angle x?

Question 17 17. If triangle MNO is congruent to triangle STR, what must also be true?

Question 18 18. A flat screen television has a 50 inch diagonal and a height of 25 inches. How wide is the television?

Question 19 19. If the pictured triangles are congruent, what reason can be given?

Question 20 20. Find the measure of MN:

Page 5

Question 21 21. In the pictured triangle, side a is 23, side b is 18, and side c is 16. What is the approximate measure of ∠C?
Round ∠C to the nearest whole number

Question 22 22. AD is a perpendicular bisector. Find the measure of AC:

Question 23 23. The AAS theorem requires which of the following to be congruent?

Question 24 24. In the pictured triangle, side a is 9 and side b is 6. If ∠C is 26 degrees, then approximately how long is side c? Round the value of the cosine to the nearest whole number.

Question 25 25. If angle a is 30 degrees and angle d is 70 degrees, what is the measure of angle b?

Page 6

Question 26 26. Find the measure of XZ:

Question 27 27. Triangle HYV and triangle AYB are similar by the AA similarity theorem. What is the value of x?

Question 28 28. Two pentagons are similar. One pentagon has angle measurements of 76, 128, 119, 85, and 132. The other pentagon only has four listed angle measurements of 76, 119, 85, and 132. What is the measure of the missing angle?

Question 29 29. In the pictured triangle, ∠A is 58 degrees and ∠C is 63 degrees. If side a is 84 units long, approximately how long is side c?

Question 30 30. Which of the following is not a polygon?

CSET Math: Plane Euclidean Geometry 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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