Question

7. Mark on the figure the proper representation that shows Segment QD is CONGRUENT to Segment AU.

8. Using the above figure, show (by marking on the figure) the proper representation that shows Segment QU is parallel to Segment AD.

9. If Segment QU is parallel to Segment AD and Angle D is 100 degrees, what must the measure of Angle Q be?

Answer 1

First, place a short perpendicular line on both Segments QD and AU. This represents that they are the same length.

Next, draw an arrow on both Segments QU and AD. Make sure the angles are both pointing in the same direction. This represents parallel lines.

By supplementary angles, Angles D and Q must sum up to 180°.

Hence, Angle Q is 80°.