All Shapes In Geometry
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How do I construct shapes in geometry using a compass and a straightedge?
I need to know how to construct a trapezoid, a parallelogram, a rectangle, a rhombus, a square and a kite only using a compass and a straightedge. Please help! Oh, and the shapes all have to be special. For example, the trapezoid & parallelogram can’t be a rectangle, square, or rhombus. And the rectangle & rhombus can’t be a square. Finally, the kite cannot be a rhombus. I need major help & fast!
areas of a specific shape?(geometry)?
The stained glass window below is a replacement for one that was broken in the Notre Dame cathedral. The glass to replace it is quite expensive – $100 per square inch, except the purple glass, which is $125 per square inch.
http://i275.photobucket.com/albums/jj295/asianboi354/06_05_04.jpg
The window has the following dimensions:
The sides of the pentagon are 10 inches each (w).
The height of each triangle shape is 5.2 inches (z).
Each of the kite-shaped pieces are 4 inches at their widest point (x).
From the center of the pentagon to a vertex is exactly 12 inches (y).
http://i275.photobucket.com/albums/jj295/asianboi354/06_05_04b.gif
Use the chart below to help you answer the following questions.
http://i275.photobucket.com/albums/jj295/asianboi354/06_05_051.gif
a. How much purple glass is needed? (area of all purple sections)
b. What is the total price of all the purple glass?
Using the same chart to help you, answer the following questions.
a. How much red glass is needed? (area of all red sections)
b. What is the total price of all the red glass?
Using the same chart to help you, answer the following questions.
a. How much blue glass is needed? (area of all blue sections)
b. What is the total price of all the blue glass?
Using the same chart to help you, answer the following questions.
a. How much green glass is needed?
b. What is the total price of all the green glass?
Use the information that you found in the previous questions to answer the following questions.
a. What is the total amount of glass needed? (all colors added together)
b. What is the total price for all the glass?
The window has the following dimensions:
The sides of the pentagon are 10 inches each (w).
The height of each triangle shape is 5.2 inches (z).
Each of the kite-shaped pieces are 4 inches at their widest point (x).
From the center of the pentagon to a vertex is exactly 12 inches (y).
11 minutes ago
thank you guys sooososososo much for your time
im sorry if it was a bit long
You have shown the chart, but there are no diagrams of the figures with their dimensions. You need to repost with complete information.
Back to the drawing board…
The question is long but the solution is not complicated. You have two shapes : Triangles and kite-shaped pieces. The areas are all the same for each of them. Let’s find those areas :
Triangles = B * h / 2 = w * z / 2 = 10 * 5.2 / 2 = 26 square inches
Kite-shaped pieces : 2 * (x/2) * y / 2 = xy / 2 = 4 * 12 / 2 = 24 square inches (because there is 2 triangles with base y and height x/2)
We can answer now for each colors :
Purple :
a) 2 triangles and 1 kite-shaped piece :
(2 * 26) + (1 * 24) = 76 sq. inches
b) Price is $125 / sq. inch
76 * 125 = $9500
Red :
a) 1 triangle and 1 kite-shaped piece :
(1 * 26) + (1 * 24) = 50 sq. inches
b) Price is $100 / sq. inch
50 * 100 = $5000
Blue (same as red) :
a) 50 sq. inches
b) $5000
Green :
a) 1 triangle and 2 kite-shaped pieces
(1 * 26) + (2 * 24) = 74 sq. inches
b) Price is $100 / sq. inch
74 * 100 = $7400
Total :
Area = 76 + 50 + 50 + 74 = 250 sq. inches
Price = 9500 + 5000 + 5000 + 7400 = $26900
Whats the difference between a 90 degree shape and a 180 degree shape?
I just asked a question about the little box thing in the corner of almost all geometry shapes and most of the answers were saying that it indicates an 90 degree angle in a shape. Whats the difference between the 90 degree on and the 180 degree one?
Areas of a specific shape?(geometry)?
Use the chart below to help you answer the following questions.
http://i275.photobucket.com/albums/jj295/asianboi354/06_05_051.gif
a. How much purple glass is needed? (area of all purple sections)
b. What is the total price of all the purple glass?
Using the same chart to help you, answer the following questions.
a. How much red glass is needed? (area of all red sections)
b. What is the total price of all the red glass?
Using the same chart to help you, answer the following questions.
a. How much blue glass is needed? (area of all blue sections)
b. What is the total price of all the blue glass?
Using the same chart to help you, answer the following questions.
a. How much green glass is needed?
b. What is the total price of all the green glass?
Use the information that you found in the previous questions to answer the following questions.
a. What is the total amount of glass needed? (all colors added together)
b. What is the total price for all the glass?
thank you guys sooososososo much for your time
im sorry if it was a bit long
The window has the following dimensions:
The sides of the pentagon are 10 inches each (w).
The height of each triangle shape is 5.2 inches (z).
Each of the kite-shaped pieces are 4 inches at their widest point (x).
From the center of the pentagon to a vertex is exactly 12 inches (y).
How do you do Lewis Structures? I help with structures, geometry, shape, & hybridization on the central atom.?
NF3
TeF4
AsF5
KrF2
KrF4
SO3^2- (^ prompts the charge in this case)
SO4^2-
COCl2
Cl2F2C
XeF2
CF4
OF2
SeF6
O3
XeO4
BF3
BeH2
SF2
SF4
SF6
Please help me out!!! My gf missed the lesson, and I don’t remember how it works at all!!!
Also, please don’t just give me answers to the posted chemical formulas. I need an explanation! I don’t want it to be cheating, I only posted all of them so that people know what I’m working with. Giving away answers will make me very unhappy.
Can anyone explain how to pick which version of the structure? I think it has something to do with resonance… but I haven’t taken chemistry in years!!!
ACTUALLY, IF SOMEONE COULD SUPPLY ME WITH ANSWERS I DON’T CARE ANYMORE. HELP IS VERY MUCH APPRECIATED.
remember your central atom will be the atom with the least number of atoms, ex: NF3, your central atom will be nitrogen with 3 fluorines around it, count the number of total valence electrons to determine how many bonds you will have an lone pairs, from that you will be able to tell it’s shape…from hybridization do you mean sp? or resonance structures
Basically, the straightedge allows you to draw straight lines. The compass allows you to mark equal distances; you usually draw a short arc, intersecting a line (or another arc) so that the intersection marks a desired point at the right distance.
For many of these shapes, the key is to construct parallel lines first. Essentially, that amounts to constructing a rectangle or square, after which it’s easy to use two sides as the basis for a trapezoid, parallelogram, or rhombus. The kite and rhombus are a bit different but easier.
The first thing to do is draw a straight line and learn to construct a perpendicular at a given point on the line. So draw your line and mark the starting point. Now use the compass to find and mark two points on the line that are the same distance from your starting point, on opposite sides of it.
Now, from each of these surrounding points, use the compass (set to a longer distance than the first one) to make two short arcs on one side of the line, more or less opposite your starting point. See that they intersect. The point at that intersection is on a perpendicular to the line, meeting it at your starting point. So use the straightedge to draw that perpendicular.
You can now draw a perpendicular to a line, meeting it at any desired point. If you draw two of these some distance apart, then set the compass to the distance between them, you can measure that same distance along each perpendicular and mark points at those locations. Connect them with one more straight line, and you’ve got a square.
For a rectangle you can use the same procedure, just having a different distance up the perpendiculars than their distance apart.
For a trapezoid, pick two different points on the last side, closer together than the ones on the first side, to serve as the vertices on that parallel line.
For a parallelogram, construct the first pair of parallel lines, draw a transversal across them, and then add a parallel to that transversal.
A rhombus is easy. Start with a point and set the compass to the desired side length; mark a couple of arcs that distance from your starting point and draw lines intersecting them. From each of the intersections, mark another arc about where the last vertex will be, using the same compass distance; these arcs will intersect to give you the last vertex. Draw the sides and you’re done.
A kite is a similar procedure to a rhombus, except that the last vertex should be at a different distance (to avoid the figure becoming a rhombus).
like 90 degrees