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! ! ! ! ! ! ! Name_____________________ ! QUIZ 102816 TRUE or FALSE (circle the correct answer) T F 1. Adjacent angles could be congruent. T F 2. A linear pair is made up of two adjacent angles. T F 3. Vertical angles are adjacent. T F 4. The radius is a chord of a circle. T F 5. All triangles are scalene T F 6. A right triangle can be isosceles. T F 7. A stop sign is a regular polygon. T F 8. A linear pair is supplementary T F 9. An isosceles triangle has three equal sides. T F 10. A scalene triangle always has all acute angles T F 11. ∠ TVU ≅ ∠ XVY since they are a linear pair. T F 12. ∠ TVU and ∠ WVX are vertical angles. T F 13. ∠ TVU and ∠ XVY are adjacent angles. T F 14. ∠ TVW and ∠ XVW are a linear pair. T F 15. An obtuse triangle has an angle sum greater than 180˚ T F 16. Obtuse angles can not be bisected using a compass and straightedge. T F 17. All right angles are congruent. T F 18. Adjacent angles could be supplementary. Use this figure and the given values to answer the questions below m ∠ FGB = 155˚, m ∠ CGD = 75˚, m ∠ FGC and m ∠ BGE are straight angles. YOU DO NOT NEED TO USE A PROTRACTOR!!! 19. Name a pair of supplementary angles ____________________________ 20. Give the angle measure of each of the supplementary angles listed in (19) m ∠ =__________ m ∠ =__________ THINK!! 21. m ∠ BGC __________ 22. m ∠ FGE __________ 23. m ∠ DGE __________ 24. m ∠ DGF __________ 25. m ∠ BGD __________ 26. Properly name an acute angle __________ 27. Identify all the the chords, diameters, and radii of this circle _______________________________________________________________ _______________________________________________________________ _______________________________________________________________ _______________________________________________________________ 28. Using the terms scalene, isosceles, equilateral, acute, obtuse. and right Classify each triangle according to BOTH its sides and angles. Triangle A can be classified as ______________ & __________________ Triangle B can be classified as ______________ & __________________ Triangle C can be classified as ______________ & __________________ Triangle D can be classified as ______________ & __________________ Triangle E can be classified as ______________ & __________________ Triangle F can be classified as ______________ & __________________ 29. Label the angle XYZ and bisect it using a compass and a straight edge 30. With a protractor measure and record the following for the angle above. m ∠ XYZ________________________________________ the measure of one bisected segment is ___________________________ the measure of the other bisected segment is _______________________ 31. Inscribing an equilateral triangle in a circle. NO QUESTIONS ARE TO BE ASKED FOR THIS PROBLEM. This is and exercise on following written directions and “figuring things out.” Method: Use the endpoints of a diameter to construct an equilateral triangle inscribed in a circle. Step 1: Use the given center and the straightedge to construct a diameter of the circle. Use the compass to measure the radius. Step 2: Using the radius of the circle, place the point of the compass at an endpoint of the diameter, and make two arcs that intersect the circle at two different points. Step 3: Construct the sides of the equilateral triangle by connecting these two points to the other endpoint of the diameter.