CBSE Class 6 Mathematics
Question 21 of 26
Playing with Constructions — Question 21
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Question Construct a rectangle in which one of the diagonals divides the opposite angles into 45° and 45°. What do you observe about the sides?
Draw a horizontal line segment AB. This will be one side of the rectangle.
(i) At point A, use a protractor to measure and draw AX a 45° angle.
(ii) At point B, measure and draw a 90° angle. Draw a line segment BC extending from B at this angle meeting AX at C.
(iii) At Point A and C, Draw a 90° angle which meets at the point D.
ABCD is the required rectangle. Here, diagonal AC divides the opposite angles A and C into 45° and 45°.
Observation You will notice that when the diagonals divide the opposite angles into 45° and 45°, so the sides of the rectangle will be equal, forming a square.