Question

A figure containing angle, H, I, J∠HIJ is dilated by a scale factor of 55 to form a new figure which contains angle, H, , I, , J, ∠H ′ I ′ J ′ . angle, H, , I, , J, ∠H ′ I ′ J ′ measures 34, degrees 34 ∘ . What is the measure of angle, H, I, J∠HIJ?

Answer 1

The measure of angle ∠HIJ before the dilation transformation is equal to 34°, as dilations do not change angle measures.

Step-by-step explanation:

The question is asking to determine the measure of an angle before a dilation transformation was applied.

Given that a figure containing angle ∠HIJ is dilated by a scale factor of 55 to form a new figure with angle ∠H'I'J' measuring 34°, we can state that angle ∠HIJ will have the same measure as ∠H'I'J' due to the properties of dilation in geometry.

Dilation transformations preserve the angles, which means that angle measures remain the same despite the change in size of the figure. Therefore, the measure of angle ∠HIJ is equal to 34 degrees.