Question

Identify the matching slopes and lengths of the sides for polygon ABCD, which has undergone dilation from point A by a scale factor of 1.2. The given information includes the angles and slopes of each side:

Angle aB with a length of 5 units and a slope of 5.
Side BC with a length of 4 units and a slope of 0.25.
Side CD with a length of 4.5 units and a slope of -2.
Side AD with a length of 7 units and a slope of 20

a) Angle aB: 5 units, Slope: 5
b) Side BC: 4 units, Slope: 0.25
c) Side CD: 4.5 units, Slope: -2
d) Side AD: 7 units, Slope: 20

Answer 1

To find the matching slopes and lengths after a dilation, multiply the lengths by the scale factor and keep the slopes the same.

Step-by-step explanation:

To identify the matching slopes and lengths of the sides for polygon ABCD after a dilation with a scale factor of 1.2, we need to multiply the lengths by 1.2 and keep the slopes the same.

a) Angle aB: The length remains 5 units and the slope remains 5.

b) Side BC: The length becomes 4 * 1.2 = 4.8 units and the slope remains 0.25.

c) Side CD: The length becomes 4.5 * 1.2 = 5.4 units and the slope remains -2.

d) Side AD: The length becomes 7 * 1.2 = 8.4 units and the slope remains 20.