Tutors Answer Your Questions about Geometric formulas (FREE)
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
Click here to see answer by Fombitz(32388)   |
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
Click here to see answer by Fombitz(32388) |
Question 300738: 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:
22.) A square has diagonals of length 8 cm. Find the area. ___ square cm
32
16 sqrt(2)
12
3 sqrt(2)
23.) the measure of the complement of the angle with measure 45 degrees.
315 degrees
45 degrees
55 degrees
135 degrees
24.) Use Figure 1. The exterior angles of Angle 3 are _______.
Angles 1 and 2
Angles 5, 6, and 7
Angles 2 and 4
Angles 1, 2, and 4
25.) In Figure 8, if GI = 3, IH = 8, JK = 10, what is JI (if it is longer than IK)?
8
12
6
4
26.) All opposite sides of a trapezoid are parallel.
True
False
Neither
Both
27.) What is the volume of a right cone with radius 3 and height 4? ___ (pi) cubic units
16
24
12
27
28.) For Figure 4, find AC.
26 2/3
9.5999999999999996447286321199499070644378662109375
10
15
29.) The converse of the statement: "If you are baking brownies, then the kitchen smells good", is "If the kitchen smells good, then you are baking brownies."
True
False
Neither
Both
30.) The radius of a Circle O is 4, if radii OA and OB form 90° angle, AB = ?
4 sqrt(2)
4
16 sqrt(2)
8
Click here to see answer by Fombitz(32388) |
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.
Click here to see answer by Fombitz(32388) |
Question 306293: Please help. My son is having a terrible time in geometry and I never took it so I'm of no help.
Given: the angle of BCA = 50 degrees. The arc of CD = 80 degrees
How do I find the arc of AD? (in layterms please)
Thanks so much for any help you can offer.
Click here to see answer by Alan3354(69443)  |
Question 306617: Sorry for the lact of picture...I don't know how to post it. I do know that it is an oblique triangle where a is the bottom (width) and b and c are on the left and right side, respectively. a = 5, b = 6, and angle between a and b = 1/3pi. Find c. Thank you in advance.
Click here to see answer by stanbon(75887) |
Question 308616: The vertices of a triangle are A(16, 0), B(9, 2), and C(0, 0). What are the slopes of its sides? What are the slopes of its altitudes?
Even if you don't have time to actually solve this for me, I'd really appreciate any input on how to solve these kinds of problems. Thank you so much and have a great day!
Click here to see answer by vksarvepalli(154)  |
Question 312048: Estimate the number of cubic inches of metal contained in a cylinder with a rectangular shaped opening in the middle if: the cylinder has a diameter of 14 inches and a height of 14 in. The rectangular hole is 7 inches by 7 inches with a height of 30 inches
Click here to see answer by Fombitz(32388) |
Question 312049: Estimate the number of cubic inches of metal contained in a cylinder with a rectangular shaped opening in the middle if: the cylinder has a diameter of 14 inches and a height of 30 in. The rectangular hole is 7 inches by 7 inches with a height of 30 inches
Click here to see answer by Fombitz(32388) |
Question 312505: you solve a problem. the answer on the calculator is 1084.346. you are supposed to round the answer to the nearest hundredth. you write down 1084.3 as the answer. is this answer correct or incorrect. why or why not
Click here to see answer by Fombitz(32388) |
Question 315406: need to build an modified ellipse for my wife. consider the center at (0,12'4") and one other point that we are sure of is at (48',6') X is the major axis. the ellipse is modified since it will end at the (48',6') point as a vertical line. Have looked at the formula for the equation, but i am not sure that i have enough information. HELP! and save me from my wife's impatience.
Click here to see answer by jim_thompson5910(35256) |
Question 322436: I want to surround my 16 ft diameter,round,above ground swimming pool with sheets of 4 by 8 plywood to prevent my dogs from tearing its exterior liner, and make it decent looking by building a multi-sided polygon that will just sit against the exterior, not support the pool in any way. How many sides do I use (6, 7 or 8)for the best "fit" and what is the formula to calculate the length of each side so it the design is symmetrical. And, what is the circumference of a 6 and a 7 sided figure with 8 foot sides?
With heartfelt gratitude, of thee math wizards, I humbly request.
John D. Hendricks 1 818 360 3606 skyranch@earthlink.com
Click here to see answer by scott8148(6628)  |
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Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925
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