Question 300741: I need major help on how to answer these questions and what they are. :( this is an ungraded study guide but counted as an incomplete if not finished. I don't understand how to do these so I would love help:( Here is the info...
* The slash / represents a fraction bar and division. For example, one half = 1/2.
* The notation sqrt( ) is used to denote the square root of a number.
To answer some of the following questions you will need to refer to the figures below:
Figure 1: The three horizontal lines are parallel.
Figure 3: The two horizontal lines are parallel.
Figure 7: JM and JP are chords of the circle. JK is a diameter.
Figure 8: GH and JK are chords of the circle.
Use Figure 3 below for the following proof:
Given: Lines a and b are cut by the transversal f, and m ang 1 + m ang 3 = 180°.
Prove: lines a and b are parallel.
1. m ang 1 + m ang 3 = 180o : Given
2. m ang 3 + m ang 5 = 180° : Definition of straight angle
3. m ang 1 + m ang 3 = m ang 3 + m ang 5 : __________
4. m ang 1 = m ang 5 : __________
5. Lines a and b are parallel: __________
Here are the figures that go with the questions:
http://i44.tinypic.com/s153m1.png
And here are the questions:
42.) In the proof above, the reason for step 4 is
substitution
angle addition
equal corresponding angles
parallel postulate
43.) For Figure 4, find DE.
6
8
10
12
44.) If two triangles are congruent, then the _______ corresponding parts are congruent.
3
6
4
2
45.) Lines p and q are parallel. The slope of p is 5 and the slope of q is 10/v. What is v?
2 sqrt(13)
4
4 sqrt(2)
2
46.) For Figure 6, 0A = 3 and AC = 12, what is OB?
3sqrt(9)
3 sqrt(3)
7
sqrt(153)
47.) Classify the angle with measure 75 degrees.
Acute
Obtuse
Straight
Right
48.) A parallelogram of area 78 square units has one side of length 12. Find the length of an altitude to that side.
3
2 sqrt(3)
6
6.5
49.) Refer to Triangle DFE in Figure 5, if DM = 4 and ME = 8, what is FM in simplified form?
4 sqrt(2)
12
2 sqrt(3)
16
50.) In elliptic or spherical geometry, there can be _____ right angle(s) in a triangle.
zero
one
two
three
51.) For right triangle ACB with right angle C, if m Ang A = 45° and BC = 3, what is the length of AC?
3 sqrt(3)
3
3 sqrt(2)
1.5
52.) Opposites sides of a parallelogram are parallel and congruent.
True
False
Neither
Both
53.) In the proof above, the reason for step 3 is
substitution
angle addition
parallel postulate
equal corresponding angles
Answer by Fombitz(32388)   (Show Source):
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