For Maths integrated project, Sonia created a symmetrical design … - Vidyadip

Question

For Maths integrated project, Sonia created a symmetrical design on Cartesian plain. She drew a fish in a rectangle ABCD in the 2nd quadrant as shown in figure.

Based on the above information, answer the following questions:
(i) Find the sum of abscissa of points A and B.
(ii) Find the area of rectangle ABCD.
(iii) What will be the new coordinates of A, B, C and D to draw the reflection of fish in the $3^{\text {rd }}$ quadrant across $x$-axis.
(iv) What will be the new coordinates of A, B, C and D to draw the fish by shifting each vertex of the rectangle 5 units to the right.

✓

Answer

(i) -7
(ii) 6 sq. units
(iii) $A(-2,-3), B(-5,-3), C(-5,-1), D(-2,-1)$
(iv) $A(3,3), B(0,3), C(0,1), D(3,1)$

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