Two Parallel Lines Cut By A Transversal Worksheet - Free Printable

You're working with a classic geometry diagram: Two Parallel Lines Cut by a Transversal.

Lines `j` and `k` are parallel. Line `t` is the transversal (a line that crosses both parallel lines). The angles formed are labeled 1 through 8.

Your task is to identify and list the angle pairs for each category:

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✔ 1. Corresponding Angles

These are angles that are in the same relative position at each intersection of the transversal with the parallel lines.

They form an “F” shape (or backward F).

Pairs:
- ∠1 and ∠5
- ∠2 and ∠6
- ∠3 and ∠7
- ∠4 and ∠8

> 📌 *When lines are parallel, corresponding angles are congruent.*

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✔ 2. Alternate Interior Angles

These are angles that lie between the two parallel lines and on opposite sides of the transversal.

They form a “Z” or “N” shape.

Pairs:
- ∠3 and ∠5
- ∠4 and ∠6

> 📌 *When lines are parallel, alternate interior angles are congruent.*

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✔ 3. Alternate Exterior Angles

These are angles that lie outside the two parallel lines and on opposite sides of the transversal.

Pairs:
- ∠1 and ∠7
- ∠2 and ∠8

> 📌 *When lines are parallel, alternate exterior angles are congruent.*

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✔ 4. Exterior/Interior Angles on Same-Side (Also called Consecutive Interior or Same-Side Interior/Exterior)

This category usually refers to Same-Side Interior Angles (also known as Consecutive Interior Angles), which are angles between the parallel lines and on the same side of the transversal. They are supplementary (add to 180°) when lines are parallel.

Sometimes it may also include same-side exterior angles — but typically in this context, it means Same-Side Interior.

Same-Side Interior Angles:
- ∠3 and ∠6
- ∠4 and ∠5

> 📌 *When lines are parallel, same-side interior angles are supplementary (sum to 180°).*

*(Note: If the worksheet meant “same-side exterior,” those would be ∠1 & ∠8 and ∠2 & ∠7 — also supplementary. But since it says “Exterior/Interior on Same-Side,” it’s likely referring to Same-Side Interior Angles — the most common term used in this context.)*

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## ✍️ Final Answer Summary:

Corresponding Angles:
∠1 & ∠5, ∠2 & ∠6, ∠3 & ∠7, ∠4 & ∠8

Alternate Interior Angles:
∠3 & ∠5, ∠4 & ∠6

Alternate Exterior Angles:
∠1 & ∠7, ∠2 & ∠8

Exterior/Interior Angles on Same-Side (Same-Side Interior):
∠3 & ∠6, ∠4 & ∠5

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✔ You can now fill these into your worksheet!

Let me know if you want to label them on the diagram or need help with angle measures next!