Given the figure above, \angle CEA + \angle BEA = 180 \degree and \angle DEB + \angle BEA = 180 \degree because linear pair angles are __________. \angle CEA = 180 \degree - \angle BEA and \angle DEB = 180 \degree - \angle BEA by the __________ Property. Therefore, \angle CEA \cong \angle DEB by the __________ Property.
Question 2
2.
Given the figure below, determine which statements would prove that line k is parallel to line m, and which would not prove the lines are parallel. Drag each statement into one of the categories.
\angle 1 \cong \angle 6
\angle 1 \cong \angle 3
\angle 2 \cong \angle 7
\angle 2 + \angle 3 = 180 \degree
\angle 4 + \angle 8 = 180 \degree
Question 3
3.
In the figure below, it is given that \angle 1 \cong \angle 2. Is that enough to prove that line c is parallel to line d? If so, explain why. If not, explain what else you would need to know about \angle 1 and \angle 2 to conclude that the lines are parallel.
OPTIONAL WORD BANK: You may wish to use some of these words in your explanation.