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Honors Geometry Last Semester 1 Review Guide #5 1. A rectangular donut has sides 8 inches and 5 inches on its top. The donut ‘hole’ is a rectangle 2 inches by 1.25 inches. What is the area of the top of the donut minus the hole? 37.5 in 2 Determine if each of the following figures is a polygon. 2. YES NO 3. YES NO 4. YES NO 5. YES NO 6. The figure below is made up of two squares with the areas labeled. Find the perimeter of the outside of the entire figure. 144 64 64 7. Find the missing angle measures in the parallelogram below. 131˚ a = 22˚ 27˚ c b = 27˚ c = 22˚ a b d d = 131˚ 2 8. Consider the following conditional statement…”If w 144 , then w = 12.” a. Is this a true statement? YES NO b. Is the converse a true statement? YES NO Using the figure at the right, describe each pair of angles. 9. 2 & 3 CIA 10. 1& 8 AEA 11. 1& 3 CORRESPONDING 1 2 3 4 12. 3 & 6 AIA 7 8 5 6 10. Find the measure of the midsegment of the trapezoid below. 44 52 36 TKE are drawn. 11. The midsegments of KL = 18 CL = 15 TK = 30 12. Solve for x and y in the parallelogram at the right. x= 9,y= 5 AB = 3x + 3 BC = 5y +2 CD = 4x – 6 AD = 7y – 8 13. Find the value of x. 14. m MAT Find 175˚ 4x 4 and m HAT 5x 23 and m MAH x then find m MAT and m HAT . x = 11 m MAT 48˚ m HAT 32˚ 15. Draw the altitudes of the right triangle below. 80 . 16. Classify the triangle at right. _________ [A] Equilateral [B] Isosceles [C] Scalene 8 8 12 17. Classify the triangle at right. _________ 13 13 [A] Equilateral [B] Isosceles [C] Scalene 13 18. Classify the triangle at right. _________ 8 [A] Equilateral [B] Isosceles [C] Scalene 12 13 19. Solve for x in the figure at the below. 7 20. In the figure at the right, Find AT bisects MAH . m MAT 5x 12 and m HAT 8x 3 . x then find m MAH . x=5 m MAH 74˚ 21. Name 3 different angles that are adjacent to R F OWS , RWS , YWT O W Y SWT . S T 22. What postulate states “If two angles form a linear pair, then they are supplementary.” Linear Pair Postulate 23. Solve for x and then find the measure of the angles. x = 22.125 m A = 130.75˚ m B = 24.125˚ m C = 25.125˚ 24. Find the area of the trapezoid below. 1344 u 2 45 24 67 25. What do you do when you construct a line parallel to a give line? Copy an angle • 26. What segments are congruent on the construction of the perpendicular bisector of MN ? MP PN