Use the image to answer the question.

Question

An illustration shows a 10 row by 11 column grid. Four trapezoids are graphed on it. The trapezoids are labeled figure 1, figure 2, figure 3, and figure 4. The top and bottom bases of figure 1 are parallel. The left and right sides are of equal length. None of the vertices meet to form right angles. The top and bottom bases of figure 2 are parallel. The right and left sides are also parallel. The top and bottom bases of figure 3 are parallel. The left and right sides are of equal length. The left and right sides are not parallel. The left and right sides of figure 4 are parallel.

Which two figures demonstrate that transformations take parallel lines to parallel lines?

(1 point)
Responses

figures 1 and 2
figures 1 and 2

figures 1 and 3
figures 1 and 3

figures 2 and 3
figures 2 and 3

figures 2 and 4

Answer 1

To determine which two figures demonstrate that transformations take parallel lines to parallel lines, we can analyze the properties of each figure based on the given descriptions:

• Figure 1: Has parallel top and bottom bases, and equal-length left and right sides (not necessarily parallel).
• Figure 2: Has parallel top and bottom bases, and parallel left and right sides.
• Figure 3: Has parallel top and bottom bases, and equal-length left and right sides (but the left and right sides are not parallel).
• Figure 4: Has parallel left and right sides.

From this information:

• Figures 2 and 4 both explicitly have pairs of parallel sides (top and bottom bases for Figure 2, and left and right sides for Figure 4). This means that transformations would continue to show those lines as parallel after transformation.

Thus, the correct response is figures 2 and 4, which demonstrates that transformations take parallel lines to parallel lines.