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Ɛhia

3

Proving Vertical Angles Are Congruent

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Given the figure above, \angle CEA + \angle BEA = 180 \degree and \angle DEB + \angle BEA = 180 \degree because linear pair angles are Property. Therefore, \angle CEA \cong \angle DEB by the . \angle CEA = 180 \degree - \angle BEA and \angle DEB = 180 \degree - \angle BEA by the Property.

G.CO.9

Ɛhia

3

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 2 + \angle 3 = 180 \degree
\angle 1 \cong \angle 6
\angle 4 + \angle 8 = 180 \degree
\angle 1 \cong \angle 3
\angle 2 \cong \angle 7

Proves k \parallel m
Does Not Prove k \parallel m

G.CO.9

Ɛhia

4

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.
Parallel
Perpendicular
Congruent
Supplementary
Alternate Interior Angles
Consecutive Interior Angles
Corresponding Angles
Same-Side Interior Angles
Vertical Angles
Linear Pair

G.CO.9

MP.3

IM2 Parallel Line Proofs Progress Checkpoint

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.

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.