Draw a triangle ABC by joining the points A (2, 4), B (-3, 2), C (-1, -1) on the graph. Now rotate the triangle through 180^ about the origin in clockwise direction and find the new points obtained.

Draw a triangle ABC by joining the points A (2, 4), B (-3, 2), C …

MCQ

Draw a triangle $ABC$ by joining the points $A (2, 4), B (-3, 2), C (-1, -1)$ on the graph. Now rotate the triangle through $180^\circ $ about the origin in clockwise direction and find the new points obtained.

A
$A (-2, -4), B (3, 2), C (1, 1)$
B
$A (2, 4), B (3, 2), C (-1, -1)$
✓
$A (-2, -4), B (3, -2), C ( 1, 1)$
D
$A (-2, 4), B (-3, -2), C (1, 1)$

✓

Answer

Correct option: C.

$A (-2, -4), B (3, -2), C ( 1, 1)$

Given - coordinates of triangle ABC,$ A (2, 4), B (-3, 2), F (9, 10), C (-1, -1)$
Now Rotate it clock wise through $180^\circ $ about origin or Rotate the coordinate axis anti - clockwise through $180^\circ .$
After rotation coordinate axis anti - clockwise through $180^\circ $, point $A$ will lie in $3^{rd}$ quadrant,
hence coordinate of $A$ will become $(-2, -4).$
similarly, point $B$ will lie in $4^{th}$ quadrant,
hence coordinate of $B$ will become $(3, -2)$. and point $C$ will lie in $1^{st}$ quadrant,
hence coordinate of $C$ will become $(1, 1).$