Special Angle Pairs Review Worksheet: Match angle types with corresponding diagrams.
Worksheet titled "Special Angle Pairs Review All" with ten labeled diagrams (A-J) showing different angle pairs, and a list of angle types to match with the correct diagram.
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Show Answer Key & Explanations
Step-by-step solution for: Pin on Geometry
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Show Answer Key & Explanations
Step-by-step solution for: Pin on Geometry
Let’s solve this “Special Angle Pairs” matching worksheet step by step.
We are to match each numbered angle pair definition (1–10) with the best lettered figure (A–J) that illustrates it.
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1. Vertical angles
→ Angles opposite each other when two lines cross. They are always equal.
✔ Best match: F — shows two intersecting lines with marked opposite angles (vertical angles).
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2. Adjacent angles
→ Angles that share a common vertex and side, but do not overlap.
✔ Best match: G — shows two angles sharing a vertex and a side, clearly adjacent.
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3. Complementary angles
→ Two angles whose measures add up to 90°.
✔ Best match: C — shows a right angle split into two angles; one is marked with a square (90°), so the two smaller angles must be complementary.
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4. Supplementary angles
→ Two angles whose measures add up to 180°.
✔ Best match: J — shows two angles: 129° and 51° → 129 + 51 = 180° → supplementary.
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5. Linear pair
→ Two adjacent angles that form a straight line (sum to 180°). They are a special case of supplementary angles.
✔ Best match: A — shows two adjacent angles forming a straight line (with arrowheads indicating the line). The dot marks the vertex where they meet on a straight line.
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6. Alternate interior angles
→ When two parallel lines are cut by a transversal, these are inside the parallel lines and on opposite sides of the transversal.
✔ Best match: E — shows two horizontal parallel lines cut by a diagonal transversal, with angles marked *inside* and on *opposite sides* → alternate interior.
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7. Alternate exterior angles
→ Outside the parallel lines, on opposite sides of the transversal.
✔ Best match: H — shows two parallel lines cut by a transversal, with angles marked *outside* and on *opposite sides* → alternate exterior.
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8. Consecutive interior angles
→ Also called same-side interior angles. Inside the parallel lines, on the *same side* of the transversal. They are supplementary.
✔ Best match: D — shows two parallel lines cut by a transversal, with angles marked *inside* and on the *same side* → consecutive interior.
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9. Consecutive exterior angles
→ Outside the parallel lines, on the *same side* of the transversal. Also supplementary.
✔ Best match: I — shows two parallel lines cut by a transversal, with angles marked *outside* and on the *same side* → consecutive exterior.
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10. Corresponding angles
→ Angles in matching corners when two lines are crossed by a transversal. If lines are parallel, they are equal.
✔ Best match: B — shows two lines cut by a transversal, with angles in the same relative position (e.g., top left of each intersection) → corresponding.
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1. F
2. G
3. C
4. J
5. A
6. E
7. H
8. D
9. I
10. B
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- Vertical: Opposite at intersection.
- Adjacent: Share side and vertex.
- Complementary: Add to 90°.
- Supplementary: Add to 180°.
- Linear Pair: Adjacent + supplementary (form straight line).
- Alternate Interior/Exterior: On opposite sides of transversal, inside/outside parallel lines.
- Consecutive Interior/Exterior: Same side of transversal, inside/outside.
- Corresponding: Same relative position at each intersection.
This worksheet reinforces understanding of angle relationships formed by intersecting and parallel lines — essential for geometry!
✔ All matched correctly!
We are to match each numbered angle pair definition (1–10) with the best lettered figure (A–J) that illustrates it.
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Definitions & Matching:
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1. Vertical angles
→ Angles opposite each other when two lines cross. They are always equal.
✔ Best match: F — shows two intersecting lines with marked opposite angles (vertical angles).
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2. Adjacent angles
→ Angles that share a common vertex and side, but do not overlap.
✔ Best match: G — shows two angles sharing a vertex and a side, clearly adjacent.
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3. Complementary angles
→ Two angles whose measures add up to 90°.
✔ Best match: C — shows a right angle split into two angles; one is marked with a square (90°), so the two smaller angles must be complementary.
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4. Supplementary angles
→ Two angles whose measures add up to 180°.
✔ Best match: J — shows two angles: 129° and 51° → 129 + 51 = 180° → supplementary.
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5. Linear pair
→ Two adjacent angles that form a straight line (sum to 180°). They are a special case of supplementary angles.
✔ Best match: A — shows two adjacent angles forming a straight line (with arrowheads indicating the line). The dot marks the vertex where they meet on a straight line.
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6. Alternate interior angles
→ When two parallel lines are cut by a transversal, these are inside the parallel lines and on opposite sides of the transversal.
✔ Best match: E — shows two horizontal parallel lines cut by a diagonal transversal, with angles marked *inside* and on *opposite sides* → alternate interior.
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7. Alternate exterior angles
→ Outside the parallel lines, on opposite sides of the transversal.
✔ Best match: H — shows two parallel lines cut by a transversal, with angles marked *outside* and on *opposite sides* → alternate exterior.
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8. Consecutive interior angles
→ Also called same-side interior angles. Inside the parallel lines, on the *same side* of the transversal. They are supplementary.
✔ Best match: D — shows two parallel lines cut by a transversal, with angles marked *inside* and on the *same side* → consecutive interior.
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9. Consecutive exterior angles
→ Outside the parallel lines, on the *same side* of the transversal. Also supplementary.
✔ Best match: I — shows two parallel lines cut by a transversal, with angles marked *outside* and on the *same side* → consecutive exterior.
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10. Corresponding angles
→ Angles in matching corners when two lines are crossed by a transversal. If lines are parallel, they are equal.
✔ Best match: B — shows two lines cut by a transversal, with angles in the same relative position (e.g., top left of each intersection) → corresponding.
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✔ Final Answer Key:
1. F
2. G
3. C
4. J
5. A
6. E
7. H
8. D
9. I
10. B
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💡 Quick Recap of Concepts:
- Vertical: Opposite at intersection.
- Adjacent: Share side and vertex.
- Complementary: Add to 90°.
- Supplementary: Add to 180°.
- Linear Pair: Adjacent + supplementary (form straight line).
- Alternate Interior/Exterior: On opposite sides of transversal, inside/outside parallel lines.
- Consecutive Interior/Exterior: Same side of transversal, inside/outside.
- Corresponding: Same relative position at each intersection.
This worksheet reinforces understanding of angle relationships formed by intersecting and parallel lines — essential for geometry!
✔ All matched correctly!
Parent Tip: Review the logic above to help your child master the concept of pairs of angles worksheets.
