To solve this task, we need to carefully examine the diagram provided in the second section of the worksheet. The diagram shows several lines labeled with letters (PQ, GH, MN, XY, AB, CD). We need to determine the relationship between specific pairs of lines based on their visual representation.
Here is the step-by-step analysis for each question:
1.
Line PQ and line GH:
* Look at line PQ. It is a vertical line.
* Look at line GH. It is a diagonal line (dotted) going from top-left to bottom-right.
* They cross each other at one point.
* Therefore, they are
intersecting lines.
2.
Line PQ and line MN:
* Look at line PQ. It is a vertical line.
* Look at line MN. It is also a vertical line.
* They run side-by-side and never touch.
* Therefore, they are
parallel lines.
3.
Line CD and line XY:
* Look at line CD. It is a horizontal line.
* Look at line XY. It is a vertical line.
* They cross each other at a right angle (90 degrees).
* Therefore, they are
perpendicular lines.
4.
Line AB and line GH:
* Look at line AB. It is a horizontal line.
* Look at line GH. It is a diagonal line.
* They cross each other at one point.
* Therefore, they are
intersecting lines.
5.
Line PQ and line XY:
* Look at line PQ. It is a vertical line.
* Look at line XY. It is also a vertical line.
* They run side-by-side and never touch.
* Therefore, they are
parallel lines.
6.
Line CD and line MN:
* Look at line CD. It is a horizontal line.
* Look at line MN. It is a vertical line.
* They cross each other at a right angle (90 degrees).
* Therefore, they are
perpendicular lines.
7.
Line AB and line CD:
* Look at line AB. It is a horizontal line.
* Look at line CD. It is also a horizontal line.
* They run side-by-side and never touch.
* Therefore, they are
parallel lines.
8.
Line MN and line GH:
* Look at line MN. It is a vertical line.
* Look at line GH. It is a diagonal line.
* They cross each other at one point.
* Therefore, they are
intersecting lines.
9.
Line MN and line XY:
* Look at line MN. It is a vertical line.
* Look at line XY. It is also a vertical line.
* They run side-by-side and never touch.
* Therefore, they are
parallel lines.
Final Answer:
1. intersecting
2. parallel
3. perpendicular
4. intersecting
5. parallel
6. perpendicular
7. parallel
8. intersecting
9. parallel
Parent Tip: Review the logic above to help your child master the concept of parallel perpendicular lines worksheet.