Question 300737: I need major help on how to answer these questions and what they are. 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:
11.) Find the measure of the supplement of the angle with measure 85 degrees.
5 degrees
105 degrees
95 degrees
58 degrees
12.) If CG is an altitude of Triangle ABC, then _______.
CG is perpendicular to AB
CA is perpendicular to AB
G is the midpoint of AB
CG is parallel to BC
13.) What is the equation of the line through points (-3, 2) and (-4, 5)?
y = (2/3)x - 6
y = 2x - 4
y = 2x + 2
y = -3x - 7
14.) Given Triangle RST is similar to Triangle DEF. If m Ang E = 38°, m Ang R = 43°, and m Ang T = (7x + 8)°, then x = ?
13
14.14
4.29
15
15.) With only a compass and a straightedge it is possible to construct a square.
True
False
Neither
Both
16.) If the sides of one angle are opposite rays of the sides of another angle, then the two angles are vertical angles.
True
False
Neither
Both
17.) In Figure 7, if m Ang PJK = 37° and m Arc PM = 41°, then m Ang MJK =
16.5°
9°
33°
12°
18.) If two polygons are similar, then they are congruent.
True
False
Neither
Both
19.) Use Figure 1 above. If m Ang 1 = 30°, then m Ang 11 = _______.
30°
60°
120°
150°
20.) A trapezoid of area 150 square units has one base of length 18 and height 12. Find the length of the other base C
3.5
7
3 sqrt(2)
14
21.) Refer to triangle DEF in Figure 5, if m Ang D = 30o, m Ang E = 60°, and DF = 12, what is ME in simplest form?
2 sqrt(3)
6
6 sqrt(3)
12
:( this is an ungraded study guide but counted as an incomplete if not done. please help? :( I don't understand how to do this.
Answer by Fombitz(32388) (Show Source):
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