Step-by-step explanation:
Area of Square ABCD = 10m * 10m = 100m².
I will say there are two ways to solve this problem. The first is, you can use your calculator and calculate it to see which is the closest to 2. The second way is divide it and here is how you do it:
1 is just 1
15/16 = 16 goes into 15 for less than one
17/8 = 8 goes into 17 for more than two so you can rewrite it as
63/33 = 33 does not go into 63 for two
So the answer is 17/8
Letter D is the answer. Good luck!
Read the problem and answer choices. You want to get from ABCD to EFGH, so you need to figure out how to do that with reflection, translation, and dilation—in that order.
The reflection part is fairly easy. ABC is a bottom-to-top order, and EFG is a top-to-bottom order, so the reflection is one that changes top to bottom. It must be reflection across a horizontal line. The only horizontal line offered in the answer choices is the x-axis. Selection B is indicated right away.
The dimensions of EFGH are 3 times those of ABCD, so the dilation scale factor is 3. This means that prior to dilation, the point H (for example), now at (-12, -3) would have been at (-4, -1), a factor of 3 closer to the origin. H corresponds to D in the original figure, which would be located at (0, -2) after reflection across the x-axis.
So, the translation from (0, -2) to (-4, -1) is 4 units left (0 to -4) and 1 unit up (-2 to -1).
The appropriate choice and fill-in would be ...
... <em>B. Reflection across the x-axis, translation </em><em>4</em><em> units left and </em><em>1</em><em> unit up, dilation with center (0, 0) and scale factor </em><em>3</em><em>.</em>
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You can check to see that these transformations also map the other points appropriately. They do.
