Which statements are true about the parallelograms? Select three options. The length of side MN is 2 units. The length of side \( M^{\prime} N^{\prime} \) is 5 units. The image is smaller than the pre-image. The scale factor is \( \frac{2}{5} \).

To determine which statements are true about the parallelograms, we need to analyze the relationships between the sides and the scale factor. 1. **The length of side MN is 2 units.** - This statement could be true if it is given or can be derived from the context. 2. **The length of side \( M^{\prime} N^{\prime} \) is 5 units.** - This statement could also be true if it is given or can be derived from the context. 3. **The image is smaller than the pre-image.** - This statement is true if the scale factor is less than 1. 4. **The scale factor is \( \frac{2}{5} \).** - This scale factor indicates that the image is smaller than the pre-image, as \( \frac{2}{5} < 1 \). Assuming the first two statements are true (that MN is 2 units and \( M^{\prime} N^{\prime} \) is 5 units), we can calculate the scale factor: \[ \text{Scale Factor} = \frac{\text{Length of image}}{\text{Length of pre-image}} = \frac{2}{5} \] This confirms that the scale factor is indeed \( \frac{2}{5} \), and since this is less than 1, the image is smaller than the pre-image. Thus, the three true statements about the parallelograms are: 1. The length of side MN is 2 units. 2. The length of side \( M^{\prime} N^{\prime} \) is 5 units. 3. The image is smaller than the pre-image. The scale factor being \( \frac{2}{5} \) is also true, but since we need to select three options, we can conclude that the first three statements are the ones to choose.