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# 05.04 Honors Extension

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## Shiran Amsalem

on 7 April 2014

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#### Transcript of 05.04 Honors Extension

05.04 Honors Extension
Measures:
Original:
44
22
48
32
8
8

I started my construction by measuring out the cardboard and marking the points I had to cut off. I then cut the cardboard so that I could begin putting the figure together.
After taping the pieces of cardboard together to replicate the front of the dresser, I used my pen and measuring tape to mark the points of the dressers drawers. I went over the marks with a permanent marker to make them easier to see.
I connected the points using a permanent marker as well as a straightedge to make sure the lines were straight. I then taped on the other pieces of cardboard I needed to make my figure three-dimensional. Finally, I measured the figure one last time to make sure the dimensions wer correct.
Proof:
My Object:
The Finished Product
Materials:
Dresser
Pen
Permanent Marker
Cardboard
Straightedge
Measuring Tape
Tape
Scissors
Construction on Paper:
The following constructions are those of the front and side of the dresser. The measures of the object have been dilated by the scale factor of .25. Each square unit is equal to an inch.
Dilated Figure:
11
5.5
12
8
2
2
Transformations:
In order to have the ability to replicate my object, I had to dilate it to make it smaller. I dilated it by the scale factor of .25.
Ratio:
The ratio of the figures is 4:1. This can be determined by looking at the relationship between the measures of the original figure and the dilated figure. In example, the width of the original figure is 44 inches, while the width of the dilated figure is 11. If one was to divide the two numbers, they would find that the answer would be 4. This procedure can be done for all of the measures and the answer would always be 4.
In order to determine if the figures are similar, each pair of corresponding sides must have the same ratio. As demonstrated beforehand, when taking any two corresponding measures of the figure and dividing them by one another, one would find that the answer is always 4. This means that the ratio is always 4:1 for the two figures.