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Geometry AF Chapter Five Test Name: __________________________ Date: ______________ Block: _____ Geo Ch05 Test 20101221a.doc Part A – Problems 1 to 15 (each answer 3 pts) Complete each sentence with the best word or phrase. Each answer is a SINGLE WORD OR NUMBER unless otherwise indicated. DO NOT USE THE WORDS “INTERSECT” or “SQUARE” in any answer. 1. In an isosceles trapezoid, the base angles are ____________________________________________. 2. The diagonals of a parallelogram _____________________________________________ each other. 3. Each interior angle of a regular octagon measures __________________________________ degrees. 4. The length of a midsegment of a trapezoid is the _____________________ of the lengths of the bases. 5. The two vertex angles of a kite are ________________________________________ by the diagonal. 6. Two consecutive angles of a parallelogram are ___________________________________________. 7. The length of a midsegment between two sides of a triangle is _____________________ the length of the third side. 8. The diagonals of a(n) _______________________________ are perpendicular bisectors of each other. 9. The non-vertex angles of a kite are _____________________________________________________. 10. The sum of the measures of the exterior angles of a hexagon is ______________________ degrees. 11. The midsegment of a trapezoid is ____________________________________________ to the bases. 12. The opposite angles of a parallelogram are _______________________________________________. 13. The diagonals of a(n) _______________________ are perpendicular but do not bisect each other. 14. The midsegments of a triangle divide the triangle into ______________________________________. ( Note: The answer to Problem 14 is three words.) 15. An equiangular quadrilateral is usually called a(n) _________________________________________. Start:____________ End: ____________ Geometry AF Chapter Five Test Page 2 of 5 Geo Ch05 Quiz Test 20101221a.doc Part B – Problems 16 to 21 (each answer 2 points) Find the measure of each lettered angle in the figure below. 16. m = __________ 17. n = __________ 18. p = __________ 19. r = __________ 20. s = __________ 21. t = __________ m r n t s p 72° 85° Geometry AF Chapter Five Test Page 3 of 5 Geo Ch05 Quiz Test 20101221a.doc Part C – Problems 22 to 25 (each answer 2 points) 22. Perimeter = 64 10 y a = ________ x 96° 24. a = ________ w = ________ x = ________ x = ________ y = ________ a y = ________ a x 31 24° 60° y w 55° 46 25. A regular hexagonal mirror frame is to be built from strips of 2-inch-wide pine lumber. Look closely at the diagram below. At what angles a and b should the frame pieces be cut? 23. The figure is a parallelogram. a = ________ b = ________ x = ________ a = _________ y = ________ b = _________ a y 47° 38 b x 31 Close-up view of one corner: Geometry AF Chapter Five Test Page 4 of 5 Geo Ch05 Quiz Test 20101221a.doc Part D – Flowchart Proof (3 points each) T Prove the following conjecture by filling in the blanks in R the flowchart proof below: The diagonals of an isosceles trapezoid are congruent. Given: Isosceles trapezoid TRAP with TR || PA A P and TP RA Show: TA RP 26.___________________ Given TPA RAP Isoceles Trapezoid Conjecture PA AP 27._________________ ______________ 28. TPA ________ 29. __________________ TA RP 30. ____________ Geometry AF Chapter Five Test Part E – Angle Measures Page 5 of 5 Geo Ch05 Quiz Test 20101221a.doc ( 1 point each) Find the measure of each lettered angle. Use the degree symbol! 31. a = ____________ 32. b = ____________ 33. c = ____________ 34. d = ____________ 35. e = ____________ 36. f = ____________ 37. g = ____________ 38. h = ____________ Part F – Bonus Question (worth up to 5 points) The vertices of quadrilateral ABCD have the following coordinates: A(7,2) B(8,3) C(4,5) D(5,2) Determine whether ABCD is a trapezoid, a parallelogram, rectangle, or none of these. Show your work. Answer: ABCD is a _______________________________.