Question 4 - Special Types of Angles - Chapter 2 Class 6 - Lines And Angles (Ganita Prakash)

Transcript

Question 4 (a) Get a slanting crease on the paper. Now, try to get another crease that is perpendicular to the slanting crease. a. How many right angles do you have now? Justify why the angles are exact right angles.Thus, We made 4 right angles They are right angles because Two lines (creases) that are perpendicular intersect to form four equal angles. These angles divide the space into 90°, 90°, 90°, and 90° — making them right angles. It’s a fundamental property in geometry: Perpendicular lines always form right angle Question 4 (b) Get a slanting crease on the paper. Now, try to get another crease that is perpendicular to the slanting crease. b. Describe how you folded the paper so that any other person who doesn’t know the process can simply follow your description to get the right angleStep-by-step Folding Guide: Take a rectangular paper. Fold it diagonally — bring one corner to the opposite corner. Crease the fold well. This gives you a slanting crease. Open the paper. Now, fold one side of the paper (e.g., left edge) so that it exactly lines up with the diagonal crease you made. Make the second crease through this new fold. It will now be perpendicular to the first (slanting) crease. Why does this work? When a straight edge (like the side of the paper) aligns with a slant, and you fold across the point where they touch, you’re constructing a perpendicular. This mirrors how perpendicular bisectors or compasses work in geometric construction