Geometry Worksheets | Lines Worksheets - Free Printable
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Step-by-step solution for: Geometry Worksheets | Lines Worksheets
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Show Answer Key & Explanations
Step-by-step solution for: Geometry Worksheets | Lines Worksheets
Final Answer:
1) intersecting
2) parallel
3) intersecting
4) parallel
5) perpendicular
6) intersecting
7) parallel
8) intersecting
9) the same line (or coincident — but since not listed, likely *intersecting* or *same line*; however, based on diagram, CN and YG are both horizontal and distinct → parallel)
10) perpendicular
Wait — let’s carefully re-evaluate using the diagram logic (standard interpretation of such diagrams):
- Horizontal lines: CN (through C–N), DZ (through D–Z) → these are the two horizontal lines, so they are parallel.
- Vertical lines: FQ (F–Q), MW (M–W), YG (Y–G) → all vertical, so any two vertical lines are parallel to each other.
- Diagonal line: HT (H to T) — crosses all others.
Now go one by one:
1) FQ (vertical) and HT (diagonal) → cross at one point → intersecting
2) FQ (vertical) and YG (vertical) → both vertical, never meet → parallel
3) DZ (horizontal) and YG (vertical) → meet at right angle (square mark at G) → perpendicular
4) CN (horizontal) and HT (diagonal) → cross → intersecting
5) FQ (vertical) and MW (vertical) → both vertical → parallel
Wait — but the diagram shows right-angle marks at intersections of verticals with horizontals, not between verticals. So FQ and MW are both vertical and distinct → parallel
However, the problem says “Line FQ and Line MW” — yes, parallel.
But hold on: in the diagram, there are right-angle symbols at:
- C (between CN and FQ)
- D (between DZ and FQ)
- M (between CN and MW)
- Y (between CN and YG)
- G (between DZ and YG)
So verticals are FQ, MW, YG — all parallel. Horizontals are CN and DZ - parallel.
HT is diagonal crossing all.
Now correct answers:
1) FQ & HT → intersect → intersecting
2) FQ & YG → both vertical → parallel
3) DZ & YG → horizontal & vertical, right angle at G → perpendicular
4) CN & HT → intersect → intersecting
5) FQ & MW → both vertical → parallel
6) DZ & FQ → horizontal & vertical, right angle at D → perpendicular
7) CN & FQ → horizontal & vertical, right angle at C → perpendicular
8) YG & HT → intersect (HT crosses YG) → intersecting
9) CN & YG → horizontal & vertical, right angle at Y → perpendicular
10) HT & MW → intersect (HT crosses MW) → intersecting
Let me double-check #10: HT goes from H (on CN) down-right to T (on DZ), passing through MW — yes, it crosses MW at some point (not marked with square, so not perpendicular), just intersecting.
So final corrected list:
1) intersecting
2) parallel
3) perpendicular
4) intersecting
5) parallel
6) perpendicular
7) perpendicular
8) intersecting
9) perpendicular
10) intersecting
Yes — that matches standard interpretation.
Final Answer:
1) intersecting
2) parallel
3) perpendicular
4) intersecting
5) parallel
6) perpendicular
7) perpendicular
8) intersecting
9) perpendicular
10) intersecting
1) intersecting
2) parallel
3) intersecting
4) parallel
5) perpendicular
6) intersecting
7) parallel
8) intersecting
9) the same line (or coincident — but since not listed, likely *intersecting* or *same line*; however, based on diagram, CN and YG are both horizontal and distinct → parallel)
10) perpendicular
Wait — let’s carefully re-evaluate using the diagram logic (standard interpretation of such diagrams):
- Horizontal lines: CN (through C–N), DZ (through D–Z) → these are the two horizontal lines, so they are parallel.
- Vertical lines: FQ (F–Q), MW (M–W), YG (Y–G) → all vertical, so any two vertical lines are parallel to each other.
- Diagonal line: HT (H to T) — crosses all others.
Now go one by one:
1) FQ (vertical) and HT (diagonal) → cross at one point → intersecting
2) FQ (vertical) and YG (vertical) → both vertical, never meet → parallel
3) DZ (horizontal) and YG (vertical) → meet at right angle (square mark at G) → perpendicular
4) CN (horizontal) and HT (diagonal) → cross → intersecting
5) FQ (vertical) and MW (vertical) → both vertical → parallel
Wait — but the diagram shows right-angle marks at intersections of verticals with horizontals, not between verticals. So FQ and MW are both vertical and distinct → parallel
However, the problem says “Line FQ and Line MW” — yes, parallel.
But hold on: in the diagram, there are right-angle symbols at:
- C (between CN and FQ)
- D (between DZ and FQ)
- M (between CN and MW)
- Y (between CN and YG)
- G (between DZ and YG)
So verticals are FQ, MW, YG — all parallel. Horizontals are CN and DZ - parallel.
HT is diagonal crossing all.
Now correct answers:
1) FQ & HT → intersect → intersecting
2) FQ & YG → both vertical → parallel
3) DZ & YG → horizontal & vertical, right angle at G → perpendicular
4) CN & HT → intersect → intersecting
5) FQ & MW → both vertical → parallel
6) DZ & FQ → horizontal & vertical, right angle at D → perpendicular
7) CN & FQ → horizontal & vertical, right angle at C → perpendicular
8) YG & HT → intersect (HT crosses YG) → intersecting
9) CN & YG → horizontal & vertical, right angle at Y → perpendicular
10) HT & MW → intersect (HT crosses MW) → intersecting
Let me double-check #10: HT goes from H (on CN) down-right to T (on DZ), passing through MW — yes, it crosses MW at some point (not marked with square, so not perpendicular), just intersecting.
So final corrected list:
1) intersecting
2) parallel
3) perpendicular
4) intersecting
5) parallel
6) perpendicular
7) perpendicular
8) intersecting
9) perpendicular
10) intersecting
Yes — that matches standard interpretation.
Final Answer:
1) intersecting
2) parallel
3) perpendicular
4) intersecting
5) parallel
6) perpendicular
7) perpendicular
8) intersecting
9) perpendicular
10) intersecting
Parent Tip: Review the logic above to help your child master the concept of parallel and perpendicular lines worksheet answers.