Answer: OPTION C.
Step-by-step explanation:
It is important to know the following:
<u> Dilation:</u>
- Transformation in which the image has the same shape as the pre-image, but the size changes.
- Dilation preserves betweenness of points.
- Angle measures do not change.
<u>Translation:</u>
- Transformation in which the image is the same size and shape as the pre-image.
- Translation preserves betweenness of points.
- Angle measures do not change.
Therefore, since the Square T was translated and then dilated to create Square T'', we can conclude that the statement that explains why they are similar is:
<em>Translations and dilations preserve betweenness of points; therefore, the corresponding sides of squares T and T″ are proportional.</em>
Answer:
100 ft²
Step-by-step explanation:
There are 4 congruent sides in a square
Perimeter = 4x
40 = 4x
x = 10
Area = base x height or length x width
Since all sides are the same, 10 is base and height
10x10 = 100
units = ft²
Answer = 100 ft²
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