Question 300740: 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:
31.) At five o'clock the measure of the angle formed by the hands of the clock is?
60°
210°
150°
180°
32.) In angle ABC, A is the vertex.
True
False
Neither
Both
33.) A regular polyhedron is a polyhedron with faces that are congruent squares.
True
False
Neither
Both
34.) In Figure 7 if m Arc PM = 40° and m Arc JKM = 210°, then m Ang PJK =
70°
35°
55°
40°
35.) If a triangle has sides of lengths 8, 4, and 4 sqrt(3), is the triangle right?
Yes
No
Maybe
Sometimes
36.) A triangle with at least two sides of equal length is called _______.
Scalene
Isosceles
Equilateral
Regular
37.) A polygon is regular if and only if the sides are congruent (“if and only if” states a condition but does not necessitate it to be the sole condition).
False
True
Neither
Both
38.) In the proof above, the reason for step 5 is
substitution
parallel postulate
equal corresponding angles
angle addition
39.) What is the center of the circle with equation (x + 1)^2 + (y + 3)^2 = 9/4?
(-1, -3)
(-1, -1)
(-3/2, 4)
(1, 3)
40.) Use Figure 2 above. If m Ang B = 53° and m Ang C = 62°, which side(s) of Triangle ABC is(are) the longest?
AB
BC
AC
AB & BC
41.) What is the equation of the line with slope 2/3 and passes through the midpoint of the segment joining points (-1, 6) and (-7, -4)?
y = -3x - 9
y = (2/3)x + (11/3)
y = -3x - 7
y = (2/3)x - 6
Answer by Fombitz(32388)   (Show Source):
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