Download Name Date_______________ Hour____________ Due Tuesday

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:
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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
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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.
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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
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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.
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Date_______________ Hour____________
14. Find the value of x for the following problems. Name the theorem that justifies your
answer.
a.
b.