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Question

An illustration shows a 10 row by 11 column grid with four 4-sided polygons graphed on it. The polygons are labeled figure 1, figure 2, figure 3, and figure 4. The figure 1 polygon has 4 sides. None of the sides are parallel. Two of the adjoining sides are of the same length. The other 2 adjoining sides are of the same length but longer than the first 2 sides. The top and bottom bases of figure 2 are of the same length and are parallel. The left and right sides are of the same length and are parallel. The figure 3 polygon has 4 sides. None of the sides are parallel. Two of the adjoining sides are of the same length. The other 2 adjoining sides are of the same length but longer than the first 2 sides. The top and bottom bases of figure 4 are parallel. The left and right sides are of the same length, but the sides are not parallel.
Which figure can be obtained by transforming figure 1?

(1 point)
figure

Answer 1

To determine which figure can be obtained by transforming figure 1, we need to analyze the properties of each of the figures described.

• Figure 1: A 4-sided polygon (quadrilateral) with no parallel sides, where two adjoining sides are of the same length and the other two adjoining sides are also of the same length but longer. This indicates it is an irregular quadrilateral.

• Figure 2: A parallelogram, as its top and bottom bases are parallel and of the same length, and the left and right sides are also parallel.

• Figure 3: Similar to figure 1, it has no parallel sides and the same properties regarding side lengths, indicating it's another irregular quadrilateral.

• Figure 4: This descriptions indicates that it has parallel bases but the left and right sides are not parallel. This suggests that it is also a quadrilateral but not a parallelogram.

Since figure 1 is an irregular quadrilateral and has side lengths and angles that do not necessarily allow for congruency with any of the figures that feature parallel sides (such as figures 2 or 4), it can be transformed into another irregular quadrilateral.

Thus, the figure that can be obtained by transforming figure 1 is figure 3, as both are irregular quadrilaterals with similar characteristics.

So the answer is: figure 3.