Download Chapter 5 Review on sections 5.1

Advanced Geometry Chapter Review 5.1-5.4, 5.6
Name:________________
Use the figure at the right for exercises 1-4.
Note: AC ≅ CD
1. Name an angle bisector in V ADF .
2. Name a median in V ADF .
3. Name a perpendicular bisector in V ADF .
4. Name an altitude in V ADF .
1.___________________
2.___________________
3.___________________
4.___________________
Complete each statement with the word sometimes, always, or never.
5. The perpendicular bisectors of a right triangle will _____ intersect
outside the triangle.
6. The medians of an obtuse triangle will _____ intersect inside the
triangle.
7. The angle bisector will _____ intersect outside the triangle.
8. The altitudes of a triangle _____ intersect inside the triangle.
5.___________________
6.___________________
7.___________________
8.___________________
Use the diagram shown and the given information for #9 and 10.
AB is the perpendicular bisector of CD. AB bisects ∠CAD.
9. Find the value of x.
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10. Find the value of y.
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11. In the diagram, MN is the perpendicular bisector of AD.
Solve for x and y.
11.__________________
12. Which of the following statements is false?
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I. Medians intersect inside a triangle.
II. Perpendicular bisectors intersect inside a
triangle.
III. Angle bisectors intersect inside a triangle.
A. I only
E. I, III
B. II only
C. III only
D. II, III
13. Is it possible to draw a triangle with sides 11, 12, and 17?
13.__________________
14. Two sides of a triangle are 100 and 200. What are the possible
measures of the third side, x? Write answer as a compound inequality.
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15. Given V ABC , if AC > AB, what can you conclude about the
measures of ∠C and ∠B ?
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16. List the sides in order from smallest to largest.
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17. Given V ABC , AC is an altitude. What kind of triangle is V ABC ?
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18. Find the value of x for the figure.
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19. Find the value of x.
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20. O is the centroid. Find the value of x.
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21.
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22. Determine what side is shortest in the
diagram.
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23.
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24.
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25.
25.__________________
_____________________
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26. What is the value of y?
Note here: The angles 10yo and (8y + 4)o represent congruent angles.
The arrows are misleading to where they are pointed.
26.__________________
A. 2
27.
B. 4
C. 16
D. 20
27.__________________