Coordinate Geometry
Transformations
MMTS_Full_Test_12
Grade 12
Question:
The point $P(3,3)$ is reflected across the line $y=-x$. Then it is translated horizontally 3 units to the left and vertically 3 units up. Finally, it is reflected across $y=x$. What are the coordinates of the point after these transformations?
$(0,-6)$
$(0,0)$
$(-6,6)$
$(-6,0)$
Step-by-Step Solution
Key Concept: Apply each transformation step by step
$(3,3)\to(-3,-3)\to(-6,-3)\to(-6,0)\to\text{reflect across }y=x:(0,-6)$.
Correct Answer: 1