Question

Quadrilateral ABCD can be mapped onto quadrilateral EFGH with a _____________ followed by a _____________. The figures are _______________ .

Answer 1

The first blank is a dilation, which essentially means to shrink down in size. The second blank is transformation, to move the shape in place. The shapes are similar, since they are the same shape, but at a different size

Answer 2

Answer: The answer are dilation and translation.

Step-by-step explanation: We are to find the transformations that map quadrilateral ABCD onto quadrilateral EFGH.

In quadrilateral ABCD and EFGH, the corresponding sides are parallel to one another, and the size of EFGH is smaller than ABCD.

So, we see that both the quadrilaterals have same shape, but different sizes. So, the first transformation will be a dilation by a scale factor less than 1.

After dilation, the second transformation will be translations by particular units across X-axis and Y-axis.

Also, we can conclude that the quadrilaterals are similar, because the corresponding sides are parallel and hence the ratios of the corresponding sides are equal.

Thus, Quadrilateral ABCD can be mapped onto quadrilateral EFGH with a dilation followed by a translation. The figures are similar.