Question

In the diagram, angle F'E'G' is the image of angle FEG after a dilation by a factor of 1.5 centered at point C. If angle FEG = 30°, then which of the following is the measure of its image, angle F'E'G'?(1)15 degrees(2)20 degrees(3)30 degrees(4)45 degrees

Answer 1

The dilation by a factor of 1.5 increases the length of the rays EG and EF by 1.5, but this transformation don't change the value of angles.

So the angle F'E'G' has the same measure of the angle FEG, therefore it is equal 30°.

Correct option: (3)