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STAR CITY Math / Geometry / Perpendicular Bisector Name _________________________________ Teacher ____________________ Period _____ 1. Phillip is constructing a hang glider by joining 2 triangular pieces of fabric to form a keel as shown in the diagram below. Phillip wants to add a crossbar. According to research, the keel must be the perpendicular bisector of the crossbar. Which figure represents the proper location of the crossbar? A. B. C. D. 1 STAR CITY – Math – Geometry – Perpendicular Bisector 2. One way a hockey goalie, G, can play good defense is to imagine that a triangle is formed by the base of the goal posts, L and R, and the puck, P. Use the figure below to answer question 3. 3. When the puck is far from the goal, the goalie should generally stand on the imaginary line of ¯ . Which view the perpendicular bisector of LR does not show a line of defensive, l? A. ¯ is perpendicular to RA ¯ and I is the midpoint GI ¯ . What is the most specific name for GI ¯? of RA A. angle bisector B. perpendicular bisector C. median D. altitude Use the figure below to answer question 4. B. C. 4. D. 2 ¯ is the perpendicular bisector of ΔTOM If OB and TM is 300 feet, which of the following is not necessarily true? A. ¯ = OM ¯ TO B. ¯ = BM̄ TB C. ¯ = OM ¯ TM̄ = TO D. ∠ TOB = ∠ MOB STAR CITY – Math – Geometry – Perpendicular Bisector Use the figure below to answer question 5. 7. Which figure represents ΔSAT as a right ¯ as a triangle with a right angle at S and OD ¯? perpendicular bisector of SA A. 5. The figure above represents the window design ¯ ⊥ AD ¯ and E is the midpoint of of a loft. If CE ¯ , what is CE ¯? AD A. altitude B. median C. perpendicular bisector D. angle bisector B. C. 6. A 3-ring binder is laying on its side with a ruler sticking out as shown below. D. What type of segment is formed by the ruler, ¯? UE A. altitude B. median C. midsegment D. perpendicular bisector 3 STAR CITY – Math – Geometry – Perpendicular Bisector 8. In which figure is point P on a perpendicular bisector of the triangle? 9. A. ¯ is the In the diagram shown below, if CD ¯ perpendicular bisector of AB, which of the following statements is not always true? B. C. D. 4 A. AE = EB B. AD = BD C. ¯ bisects ∠ ACB CD D. AD = AC STAR CITY – Math – Geometry – Perpendicular Bisector ¯ a perpendicular bisector? 10. In which figure is SV A. B. C. D. 5 STAR CITY Math / Geometry / Perpendicular Bisector Answer Key and Alignment Answer 1. A 2. D 3. B 4. C 5. C 6. D 7. A 8. A 9. D 10. A Source TLI TLI TLI TLI TLI TLI TLI AR AR AR SLE T.2.G.3d T.2.G.3d T.2.G.3d T.2.G.3d T.2.G.3d T.2.G.3d T.2.G.3d T.2.G.3d T.2.G.3d T.2.G.3d