Question 300736: 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 some of the questions:
http://i44.tinypic.com/s153m1.png
And here are the questions:
The point where the three altitudes of a triangle intersect is called the
intersection point
altocenter
centroid
orthocenter
2.) Classify the angle with measure 180 degrees.
Acute
Obtuse
Straight
Right
3.) In Figure 8, if GH = 8, JI = 8, IK = 2, what is GI?
8
4
6
10
4.) If we wanted to draw a median of Triangle ABC coming from vertex C, then our line would _______.
cross BC at its midpoint
cross AB at its midpoint
cross and be perpendicular to BC
cross and be perpendicular to AB
5.) The base of a pyramid is a square with sides of length 4 cm. If the volume = 80 cm3, what is the height? ___ cm
16 / 3
12
15
5 sqrt(3) / 3
6.) Find the value of x: (2x) / 7 = (x - 1) / 3
1
13/7
7
5/7
7.) A line that intersects a circle in a single point.
chord
secant
tangent
diameter
8.) A circle of area 49(pi) has a circumference of what?
7 pi
17.5
10
14 pi
9.) If two sides and the _______ angle of one triangle are congruent to two sides and the _______ angle of another triangle, then the triangles are congruent.
Smallest
Opposite
Included
Acute
10.) When constructing the median of a triangle, it is possible that the median may lie exterior to the triangle.
True
False
Neither
Both
Thank you so much! :( this is just a study guide (ungraded but counted as an incomplete if not done.
Answer by Fombitz(32388)   (Show Source):
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