parallelogram mnpq was dilated to create parallelogram mnpq. which statements are true about the…

parallelogram mnpq was dilated to create parallelogram mnpq. which statements are true about the parallelograms? select three options. the length of side mn is 2 units. the length of side mn is 5 units. the image is smaller than the pre - image. sides mq and mq both have the same slope, 1. the scale factor is $\frac{2}{5}$.

parallelogram mnpq was dilated to create parallelogram mnpq. which statements are true about the parallelograms? select three options. the length of side mn is 2 units. the length of side mn is 5 units. the image is smaller than the pre - image. sides mq and mq both have the same slope, 1. the scale factor is $\frac{2}{5}$.

Answer

Explanation:

Step1: Calculate length of MN

Count grid - units. M(2, - 2), N(4, - 2). Length of MN = |4 - 2|=2 units.

Step2: Calculate length of M'N'

M'(5, - 5), N'(10, - 5). Length of M'N'=|10 - 5| = 5 units.

Step3: Check slope of MQ and M'Q'

For MQ: M(2, - 2), Q(1, - 3). Slope $m_1=\frac{-3+2}{1 - 2}=1$. For M'Q': M'(5, - 5), Q'(3, - 7). Slope $m_2=\frac{-7 + 5}{3 - 5}=1$.

Step4: Check scale - factor

Scale factor $k=\frac{M'N'}{MN}=\frac{5}{2}$. The image is larger than the pre - image.

Answer:

The length of side MN is 2 units. The length of side M'N' is 5 units. Sides MQ and M'Q' both have the same slope, 1.