Question

How do you rotate the figure B (-2, 0), C (-4, 3), Z (-3, 4) and X (-1, 4) 90 degree clockwise about the origin?

Answer 1

Hint: In the given question, we have been asked to rotate the figure B (-2, 0), C (-4, 3), Z (-3, 4) and X (-1, 4) 90 degree clockwise about the origin. In order to rotate a point through 90 degrees about the origin in clockwise direction when the point M (h, k) is rotated 90 degrees clockwise about the origin, then the new position of the point M (h, k) will be M’ (k, -h).

Complete step by step answer:
We have given a figure i.e. quadrilateral having four vertex,
B (-2, 0), C (-4, 3), Z (-3, 4) and X (-1, 4)
Plot all the above points in a graph and join together.
Graph of the above given figure;

On rotating the point M (h, k) 90 degree in clockwise direction about the origin, the new position of the point M (h, k) will become M’ (k, -h).
Applying the above rule;
$\bullet $ The new position of the point B (-2, 0) will become B’ (0, 2).
$\bullet $ The new position of the point C (-4, 3) will become C’ (3, 4).
$\bullet $ The new position of the point Z (-3, 4) will become Z’ (4, 3).
$\bullet $ The new position of the point X (-1, 4) will become X’ (4, 1).
Plot the graph of the points B’ (0, 2), C’ (3, 4), Z’ (4, 3) and X’ (4, 1) and join together to form a figure.
Graph of the above points is;

Hence, in this way we rotate the figure B (-2, 0), C (-4, 3), Z (-3, 4) and X (-1, 4) 90 degree clockwise about the origin and it will become the figure joining B’ (0, 2), C’ (3, 4), Z’ (4, 3) and X’ (4, 1).

Note: While solving this type of problem, students just need to remember one rule which states that on rotating the point M (h, k) 90 degree in clockwise direction about the origin, the new position of the point M (h, k) will become M’ (k, -h). While solving the question, make sure that you will plot the graph for after and before points as it is required.