Question

The angle of the roof on Wendy's dollhouse is 56°. She built a scale model of the dollhouse with a scale ratio of 1:4. What is the measure of the angle of the roof of the model she built?

Answer 1

56. Angles will not change if you stretch out the lines making them.

Answer 2

The measure of the angle of the roof of the model she built is:

56°

Explanation:

It is given that:

The angle of the roof on Wendy's dollhouse is 56°.

She built a scale model of the dollhouse with a scale ratio of 1:4.

This means that a dilation is being performed.

i.e. the original figure is similar to the scale model she made.

Now, when two figures are similar, then the angle of the two figures are preserved.

This means that the angle of the roof of the model she built will be equal to the actual angle.

Hence, the answer is: 56°