Question

Megan dilates A JKL by a scale factor of 2/5 to create another triangle JNO. How

are the lengths, and angles, affected by this translation?
6 inches
38°
K
120
14 inches
What is the length of NO?
10 inches
22°
What is the measure, in degrees, of

Answer 1

In a dilation by the scale factor of 2/5, the length of each side of the triangle is multiplied by 2/5, whereas the angles remain unchanged.

Step-by-step explanation:

When Megan dilates triangle A JKL by a scale factor of 2/5 to create another triangle JNO, the lengths of the sides of triangle JNO will be 2/5 the size of the corresponding sides of triangle JKL.

The angles of the triangle, however, will remain unchanged because a dilation transformation does not affect angle measures, only the lengths of the sides.

For example, if we are asked to find the length of side NO given that side KL is 14 inches, we would calculate it by multiplying 14 inches by the scale factor:

Length of NO = 14 inches * 2/5 = 5.6 inches.