Question

ogle Drive#DImage Source: Jason Buendorf 2018DIRECTIONS:Answer the following questions in your original post and then post a reply to at least two other students.A classmate decided that AD || BC based on the diagram. Is your classmate correct? Why or why not?Explain your reasoning and think this one through using what you have learned about alternateinterior angles, alternate exterior, corresponding, and consecutive angles. Do not just type a yes or noresponse.

Answer 1

From the diagram, the classmate is correct. This is because the interior angles that are on the opposite sides of the transversal are alternate angles.

Also, AD is parallel to BC on the diagram, this means that alternate interior angles BAC and ACD from the diagram are equal.

Then, in the diagram shown, we can see that the lines AD and DC are parallel also the horizontal lines on the diagram are parallel.

Since the angles BAC and ACD are equal(based on property of alternate angles), we can say that lines AD and BC are parallel to each other.

Using interior angle property of paralllel lines, the alternate angles are equal.

which means

`\angle BAC\text{ = }\angle ACD`