Rotate A(−2,3) clockwise by 90° about the origin, reflect in the x-axis, then move down 3 units. Find the final point.

01 / Standard#Your turn

Official paper · jm01-2023 · I.15 · PDF 3

Skills and prerequisite lessons

Option A $(-3,-1)$
Option B $(-3,0)$
Option C $(-4,0)$
Option D $(2,0)$
Option E $(3,-5)$

Working and explanation

BUILD THE REASONING

Hint 1

A clockwise quarter-turn maps (x,y) to (y,−x).

Hint 2

Apply transformations in the stated order.

Worked solution

E: (3,−5).

Checks and common pitfalls: Changing the transformation order changes the result.

Reasoning checklist · self / teacher assessment

Teaching assessment checklist, independently authored. Use the original paper for official marks.
Rotate and reflect.
$(-2,3)\to(3,2)\to(3,-2)$
Subtract 3 from the final y-coordinate.
$(3,-2)\to(3,-5)$

Think first. Reveal a hint when the class is ready.

2023 JM01