Question

Polygon ABCD has sides with these lengths: 5 units, 4 units, 4.5 units, and 7 units. The slope of AB is 5, the slope of BC is 0.25, the slope of CD is -2, and the slope of DA is 0. The polygon is dilated from point A by a scale factor of 1.2 to form polygon A'B'C'D'. Match the slopes and lengths of the sides of polygon A'B'C'D' to their values.

A.Slope of 8.4 - Side AB
B.Length of 5.4 - Side BC
C. Length of 5 - Side CD
D. Slope of 0.25 - Side DA

Answer 1

The slopes and lengths of the sides of polygon A'B'C'D' can be calculated by applying the scale factor of 1.2 to the original polygon.

Step-by-step explanation:

To find the slopes and lengths of the sides of polygon A'B'C'D', we need to apply the scale factor of 1.2 to the original polygon. The slopes of the sides of polygon A'B'C'D' will be the same as the slopes of the corresponding sides of the original polygon. So, the slopes of the sides of A'B'C'D' will be:

• Side AB: slope 5 * scale factor = 5 * 1.2 = 6
• Side BC: slope 0.25 * scale factor = 0.25 * 1.2 = 0.3
• Side CD: slope -2 * scale factor = -2 * 1.2 = -2.4
• Side DA: slope 0

Now, let's calculate the lengths of the sides of polygon A'B'C'D':

• Side AB: length 5 * scale factor = 5 * 1.2 = 6
• Side BC: length 4 * scale factor = 4 * 1.2 = 4.8
• Side CD: length 4.5 * scale factor = 4.5 * 1.2 = 5.4
• Side DA: length 7 * scale factor = 7 * 1.2 = 8.4