Explanation:
- The task asks to identify which of the given diagrams correctly shows two lines that are parallel and perpendicular to a given line.
- First, understand what parallel and perpendicular mean:
- Parallel lines never meet and are always the same distance apart.
- Perpendicular lines meet at a right angle (90 degrees).
- Look at the given line in the diagram. It’s a diagonal line going from bottom left to top right.
- Now check each option:
- Option A: Shows a line that is parallel to the given line (same direction, never meets) and a line that is perpendicular (meets at a right angle). This looks correct.
- Option B: The second line is not perpendicular; it’s at a different angle.
- Option C: The parallel line is correct, but the perpendicular line is not at 90 degrees.
- Option D: The perpendicular line is not correctly placed; it doesn’t form a right angle.
- So only Option A correctly shows both a parallel line and a perpendicular line to the given line.
Final Answer: A
Parent Tip: Review the logic above to help your child master the concept of geometry terms worksheet.
