Is it possible to construct a 4-sided figure in which— Class 6

Is it possible to construct a 4-sided figure in which— Class 6

Question 1.

Is it possible to construct a 4-sided figure in which— Class 6

1. all the angles are equal to 90° but
2. opposite sides are not equal?

Solution:

No.

Question 2.

At which positions will the points X and Y be at their closest? When do you think they will be the farthest? What does your intuition say? Discuss with your classmates. Class 6

Solution:

X and Y will be closest, when either they are at the points A and B respectively or they are at the points C and D respectively.

X and Y will be farthest, when either they are at the points A and C or they are at the points B and D. Further, X and Y will also be closest when they are respectively at the same distance from A and B or at the same distance from C and D respectively.

Question 3.

How does the minimum distance between the points X and Y compare to the length of AB? Class 6

Solution:

The minimum distance between X and Y is equal to the length of AB.