Proving Angles Given Parallel Lines

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Practice Proofs

\(\textbf{1)}\) Given: \( a \parallel n\), \( \, \, d \parallel y\)
\(\,\,\,\,\,\,\,\,\,\)Prove: \( \angle 1 \cong \angle 4 \)
\(\,\,\,\,\,\,\,\,\,\)Diagram for Proof 1
Link to Youtube Video Solving Question Number 1



\(\textbf{2)}\) Given: \( \angle 1 \cong \angle 2 \), \( \, \, \overline{AD} \parallel \overline{NY}\)
\(\,\,\,\,\,\,\,\,\,\)Prove: \( \angle 2 \cong \angle 3 \)
\(\,\,\,\,\,\,\,\,\,\)Diagram for Proof 2
Link to Youtube Video Solving Question Number 2



\(\textbf{3)}\) Given: \( a \parallel n\), \( \, \, d \parallel y \)
\(\,\,\,\,\,\,\,\,\,\)Prove: \( \angle 1 \cong \angle 3 \)
\(\,\,\,\,\,\,\,\,\,\)Diagram for Proof 3
Link to Youtube Video Solving Question Number 3



\(\textbf{4)}\) Given: \( a \parallel b\), \( \, \, b \parallel c \)
\(\,\,\,\,\,\,\,\,\,\)Prove: \( \angle 1 \) is supplementary to \( \angle 4\)
\(\,\,\,\,\,\,\,\,\,\)Diagram for Proof 4


Notes

Notes for Angles with Transversals

See Related Pages\(\)

\(\bullet\text{ Geometry Homepage}\)
\(\,\,\,\,\,\,\,\,\text{All the Best Topics…}\)
\(\bullet\text{ Proving Parallel Lines Given Angles}\)
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\(\bullet\text{ Definition of Transversal}\)
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