Question

6. Triangle ABC is rotated 90 degrees counterclockwise and then translated 3 units up to form

Answer 1

Given:

Consider triangle ABC is rotated 90 degrees counterclockwise and then translated 3 units up to form triangle A'B'C'.

To find:

The transformation that can be used to map each point (x,y) on Triangle ABC to its corresponding point on Triangle A'B'C'.

Solution:

If a figure rotated 90 degrees counterclockwise, then

$(x,y)\to (-y,x)$

$P(x,y)\to P_1(-y,x)$

If a figure translated 3 units up, then

$(x,y)\to (x,y+3)$

$P_1(-y,x)\to P'(-y,x+3)$

If  triangle ABC is rotated 90 degrees counterclockwise and then translated 3 units up to form triangle A'B'C', then the rule of transformation is

$(x,y)\to (-y,x+3)$

Therefore, the required rule of transformation is $(x,y)\to (-y,x+3)$.

Note: Option are not in proper form.