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Transcript
Name ________________________________ Date_______________ Hour____________ Due Tuesday, October 29th for a GRADE. Chapter 5 Study Guide: Sections 4.1, 4.7, 5.2-5.5 Terms to Know: Triangle Sum Theorem Base Angle Theorem and Converse Exterior Angles Theorem Concurrent Point of Concurrency Perpendicular Bisector Circumcenter Circumscribed Perpendicular Bisector Theorem Converse Perpendicular Bisector Theorem Angle Bisector Incenter Inscribed Angle Bisector Theorem Converse Angle Bisector Theorem Median Centroid Altitude Orthocenter Opposite Angles and Sides Triangle Inequality Theorem 1. Using the figure below, name an obtuse triangle, an acute triangle, and a right triangle. 2. Find the value of x. Justify your reasoning. 3. Use the information to find the m P and m Q. Name ________________________________ Date_______________ Hour____________ 4. The circumcenter is _________________________ from the three vertices of a triangle. 5. The incenter is equidistant from the sides of a triangle at a ___________________ angle. 6. Use the following diagram to answer the following questions. a. If line ON is the perpendicular bisector to segment LM, what do you know about the triangle? b. If LO = 7 and MN = 15, then what are the lengths of OM and LN? 7. If ray AE bisects BAD, then what else do you know about the figure? 8. How many perpendicular bisectors does a triangle have? 9. Use the ABC with P as the centroid, to answer the following questions. a. Find the length of BF, if BP = 5.6 cm. b. Find the length of DP, if DC = 10.2 cm. of Name ________________________________ Date_______________ Hour____________ 10. Can the following side lengths construct a triangle? Why or why not? (Show your work… the three columns) a. 15 cm, 4 cm, 20 cm b. 5 cm, 12 cm, 15 cm 11. List the angles and sides in order from smallest to largest. 12. A triangle has one side length of 13 and another of length of 9. Describe the possible lengths of the third side. 13. In the diagram, N is the incenter of triangle ABC. Find ND. Name ________________________________ Date_______________ Hour____________ 14. Find the value of x for the following problems. Name the theorem that justifies your answer. a. b.