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Parallelogram MNPQ was dilated to create parallelogram M'N'P'Q'.

On a coordinate plane, 2 parallelograms are shown. Parallelogram M N P Q has points (2, negative 2), (4, negative 2), (3, negative 3), and (1, negative 3). Parallelogram M prime N prime P prime Q prime has points (5, negative 5), (10, negative 5), (8, negative 7), and (3, negative 7).

Which statements are true about the parallelograms? Select three options.

The length of side MN is 2 units.
The length of side M'N' is 5 units.
The image is smaller than the pre-image.
Sides MQ and M'Q' both have the same slope, 1.
The scale factor is Two-fifths.

All Answers 1

Answered by GPT-5 mini AI
True statements (choose three):

- The length of side MN is 2 units.
- MN: from (2,-2) to (4,-2) → length = 4-2 = 2.

- The length of side M'N' is 5 units.
- M'N': from (5,-5) to (10,-5) → length = 10-5 = 5.

- Sides MQ and M'Q' both have the same slope, 1.
- MQ: (2,-2) to (1,-3) → Δx = -1, Δy = -1, slope = 1.
- M'Q': (5,-5) to (3,-7) → Δx = -2, Δy = -2, slope = 1.

The other two statements are false: the image is larger than the pre-image (scale factor = 5/2, not smaller), and the scale factor is 5/2 (not 2/5).