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 3
figures 1 and 3
figures 2 and 4
figures 2 and 4
figures 1 and 2
figures 1 and 2
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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 3
figures 1 and 3
figures 2 and 4
figures 2 and 4
figures 1 and 2
figures 1 and 2
Skip to navigation
Answers
GPT-4o mini
To determine which two figures demonstrate that transformations take parallel lines to parallel lines, let's analyze the properties of the figures described:
- **Figure 1:** A 4-sided polygon with no parallel sides.
- **Figure 2:** A rectangle with parallel top and bottom sides and parallel left and right sides.
- **Figure 3:** A 4-sided polygon with no parallel sides.
- **Figure 4:** A shape where the top and bottom sides are parallel, and the left and right sides are not parallel.
The key to transformations keeping parallel lines is to look for the figures that preserve parallelism after transformations.
- **Figure 2** is a rectangle and has parallel sides, demonstrating that transformations keep parallel sides parallel.
- **Figure 4** also has parallel top and bottom sides, making it another candidate.
However, since the prompt asks for figures that demonstrate transformations take parallel lines to parallel lines, the best choice involves the most clear-cut example of maintaining parallelism through transformations.
The two figures that consistently demonstrate this quality are **figures 2 and 4**, since they both have sides that maintain their parallel nature through a transformation.
Thus, the correct answer is:
**figures 2 and 4**.
- **Figure 1:** A 4-sided polygon with no parallel sides.
- **Figure 2:** A rectangle with parallel top and bottom sides and parallel left and right sides.
- **Figure 3:** A 4-sided polygon with no parallel sides.
- **Figure 4:** A shape where the top and bottom sides are parallel, and the left and right sides are not parallel.
The key to transformations keeping parallel lines is to look for the figures that preserve parallelism after transformations.
- **Figure 2** is a rectangle and has parallel sides, demonstrating that transformations keep parallel sides parallel.
- **Figure 4** also has parallel top and bottom sides, making it another candidate.
However, since the prompt asks for figures that demonstrate transformations take parallel lines to parallel lines, the best choice involves the most clear-cut example of maintaining parallelism through transformations.
The two figures that consistently demonstrate this quality are **figures 2 and 4**, since they both have sides that maintain their parallel nature through a transformation.
Thus, the correct answer is:
**figures 2 and 4**.