Question

You just hung a picture twelve inches above the wall trim. Your friend thinks the

picture looks crooked. Use what you know about parallel lines and transversals to
determine if the picture is level.
Step 1: You don't have a level, but you are in luck. You know the wall trim is level.
You have a protractor and the sun is casting a shadow on the wall. Describe how
you can determine if the picture is level.
: Assume you measured ∠3 and ∠5 and found them to be equal. Use the
spaces provided below to complete a formal proof that demonstrates the picture
is level with the trim.

Answer 1

The angles measured between the shadow and the wall trim and the shadow and the top or bottom of the picture should be equal if the picture is level

Explanation:

Whereby the picture is 12 inches above the wall trim and the Sun is casting a shadow on the wall, therefore, the edges of the shadow of a straight edged object is straight

If the picture is level, the shadow cast by the sun is transversal to the wall trim and the line formed by extending the bottom or top of the picture in the direction of the shadow. That is, if the picture is parallel, the shadow cast by the Sun on the wall is transversal to the picture and the wall trim if or when the shadow eventually crosses the picture

With the protractor, the angle between the shadow and the wall trim and the shadow and the top or bottom is measured

The angles measured should be the same if the picture is level.

I hope this is correct. If not feel free to let me know and I will fix it. I'm sorry in advance if it is wrong.