Question
Complete the two-column proof of the Alternate Exterior Angles Theorem. Given: $\ell \| m$ Prove: $\angle 1 \cong \angle 2$Proof:(IMAGE CAN'T COPY)
Step 1
Vertical angles are always congruent. This is known as the Vertical Angles Theorem. So, we can write: \[\angle 1 \cong \angle 3 \quad \text{(Vertical Angles Theorem)}\] Show more…
Show all steps
Your feedback will help us improve your experience
Dawn Getman and 73 other Geometry educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Write a paragraph proof of the Same-Side Interior Angles Theorem. Given: $r \| s$ Prove: $m \angle 1+m \angle 2=180^{\circ}$ (IMAGE CAN'T COPY)
Parallel and Perpendicular Lines
Angles Formed by Parallel Lines and Transversals
Copy and complete the following proofs. (FIGURE CAN'T COPY) Given: $\angle 1$ and $\angle 2$ are vertical angles; $\overrightarrow{\mathrm{EN}}$ bisects $\angle \mathrm{IEG}$. Prove: $\angle 1=\angle 3$. Proof. (TABLE CAN'T COPY)
Rays and Angles
Linear Pairs and Vertical Angles
Complete the flowchart proof of the Converse of the Alternate Interior Angles Theorem. Given: $\angle 2 \cong \angle 3$ Prove: $\ell \| m$ Proof: (THE FIGURE CANNOT COPY)
Proving Lines Parallel
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD