Question

Use the image to answer the 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. 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. All sides are 2 units in length. All 4 angles formed by the sides are right angles. The figure 3 polygon has 4 sides. None of the sides are parallel. 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 two figures demonstrate that transformations take parallel lines to parallel lines?

(1 point)
Responses

figures 2 and 3
figures 2 and 3

figures 1 and 2
figures 1 and 2

figures 1 and 3
figures 1 and 3

figures 2 and 4

Answer 1

To determine which two figures demonstrate that transformations take parallel lines to parallel lines, we need to identify the figures that contain parallel sides.

- **Figure 1**: This polygon has no parallel sides.
- **Figure 2**: This polygon has two sets of parallel sides (the top and bottom bases, and the left and right sides).
- **Figure 3**: This polygon has no parallel sides.
- **Figure 4**: This polygon has one pair of parallel sides (the top and bottom bases), but the left and right sides are not parallel.

Based on this analysis, the only figure that consistently shows the property of parallel lines are **Figure 2** (which has 2 pairs of parallel sides) and **Figure 4** (which has 1 pair of parallel sides).

Therefore, the correct response is:

**figures 2 and 4**.