Question

(i) Name the type of the quadrilateral formed , if any, by the points (4,5),(7,6)(4,3) and (1,2).

(ii) If diagonals of a quadrilateral are equal ,then we say that it is a parallelogram.Is it true?


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Answer 1

(i) A(4,5),B(7,6),C(4,3),D(1,2)

AB= (4−7) 2+(5−6) 2

AB= 10

BC= (7−4) 2+(6−3) 2

BC= 18

CD= (4−1) 2+(3−2)2

CD= 10

AD= (4−1) 2 +(5−2) 2

AD= 18

AB=CD= 10

AD=BC= 18

BD= (7−1) 2+(6−2) 2

BD= 42

Since the opposite sides are equal and diagonals are unequal.

So the quadrilateral would be a parallelogram.

(ii) We don't. The diagonals should also bisect (that means they should cross each other in the middle). Take some string and or or some sticks and prove it to yourself. Take the sticks, cross them and move them from one one to the other. Then show your teacher what you've discovered on your own. Best wishes. Keep asking questions.

Answer 2

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