Download Ch 5 Review 2015-2016 (No Constructions)

Geometry
Name: _________________
Chapter 5 Test Review
1. If the angle is bisected, how much is x?
x
3
2.
List the sides and the angles in order from least to greatest.
F
A
59
30
28
60
C
B
29
61
D
E
Sides: ____________
Sides: ____________
Sides: ____________
Sides: ____________
Angles: ___________
Angles: ___________
Angles: ___________
Angles: ___________
Directions 3-5: Is it possible for a triangle to have sides with the lengths indicated? Write yes or no for
each, and show work for your answer.
3.
5, 9, 15
4.
1, 19, 18.5
5.
10, 7, 3
Directions 6-7: The diagrams are not drawn to scale. If each diagram were drawn to scale, which segment
shown would be the longest?
6.
7.
A
(Challenge problem, try your best)
E
D
70
59
61
60
56
C
B
62
G
F
Directions 8-9: Use the properties of perpendicular bisectors and angle bisectors to solve for x.
8.
9.
x = _____________
x = _____________
10. The lengths of two sides of a triangle are 15 and 26. Write a range of values that the third side may be.
11. Write an inequality that expresses the possible lengths of the third side of a triangle that has sides
measuring 2 yards, and 5 yards.
12. Write an inequality that expresses the possible lengths of the third side of a triangle that has sides
measuring 120 cm and 51 cm.
13. Given a triangle with two sides measuring 5 inches and 10 inches, which of the following could not be a
length of the third side of the triangle?
a) 10 inches
b) 4 inches
c) 9 inches
d) 14 inches
14. The lengths of the sides of an isosceles triangle measure 12 cm and 6 cm. What could be the length of
the third side of the triangle?
a) 6 cm
b) 12 cm
c) 18 cm
d) 16 cm
15. Lines l, m, and n are intersected by transversal t. The measures of some of the angles that are formed
are shown. Which of the following statements about l, m, and n must be true?
a)
b)
c)
d)
l || m || n
l || m only
l || n only
m || n only
16. What value of x makes lines l and n parallel? Justify your answer.
17. What is the midpoint between A(4, -1) and B(-3, 5).
18. Find the value of x to make the lines parallel
19. Write the equation of the line parallel to the line y = -5x +1 that passes through the point (-3, 8).
20. Write the equation of the line perpendicular to the line y = 4x -14 that passes through the point (-8, 1).
21. In the diagram, DEFG  BCFG. Find the values of x and y.
x: ____
y: ____
22. Find mABC and mCBD
23. Solve for x and y.
24. The conditional statement “If it is Friday, then I have geometry” is represented by p  q .
What is the symbolic representation for “If I have geometry, then it is not Friday”?
________________
25. What is the inverse, contrapositive, and converse of “ t  ~ r ”
________________
26. Write the converse, inverse, and contrapositive of the conditional statement:
“If it is raining, then I am sad.”
Converse:
Inverse:
__________________________________________________________________
____________________________________________________________________
Contrapositive: ___________________________________________________________________
27. Given the following true statements (1) and (2), what can you conclude? If you can not conclude
anything write invalid.
(1) All good tennis players are quick.
(2) Martina is a good tennis player
______________________________________________________
28. Given BC @ AC and E  D , prove ACE  BCD .
Statement
Reason
1.
1.Given
2. E  D
2.
3.
3. Reflexive
4.
4.