Question

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 ${180}^o$ about the origin in clockwise direction and find the new points obtained.

• A. $A^{\prime }(-2,-4),B^{\prime }(3,2),C^{\prime }(1,1)$
• B. $A^{\prime }(2,4),B^{\prime }(3,2),C^{\prime }(-1,-1)$
• C. $A^{\prime }(-2,-4),B^{\prime }(3,-2),C^{\prime }(1,1)$
• D. $A^{\prime }(-2,4),B^{\prime }(-3,-2),C^{\prime }(1,1)$

Answer 1

The correct option is C $A^{\prime }(-2,-4),B^{\prime }(3,-2),C^{\prime }(1,1)$

Given- coordinates of triangle $ABC$ , $A(2,4),B(-3,2),F(9,10),C(-1,-1)$

Now Rotate it clock wise through ${180}^o$ about origin or Rotate the coordinate axis anti-clockwise through ${180}^o$.

After rotation coordinate axis anti-clockwise through ${180}^o$, point $A$ will lie in $3rd$ quadrant ,hence coordinate of $A$ will become $(-2,-4)$.

similarly , point $B$ will lie in $4th$ quadrant ,hence coordinate of $B$ will become $(3,-2)$. and point $C$ will lie in $1st$ quadrant ,hence coordinate of $C$ will become $(1,1)$.