Question

question 2 of 5
drag the image to the correct location.
triangle abc is rotated $90^\circ$ counterclockwise about point p to create triangle def. determine the correct orientation and location of triangle def.

Explanation:

Step1: Recall 90° counterclockwise rotation rule

For a point $(x,y)$ rotated 90° counterclockwise about a point $P(h,k)$, the new coordinates are $(h-(y-k), k+(x-h))$. Visually, this means each vertex of $\triangle ABC$ will pivot 90° counterclockwise around point $P$, flipping the triangle's orientation.

Step2: Match orientation to options

Compare the rotated shape's orientation: the correct $\triangle DEF$ will have the same vertex order as the rotated $\triangle ABC$. The middle triangle (with vertices $E$, $F$, $D$ in the orientation matching the 90° counterclockwise rotation of $\triangle ABC$ around $P$) is the correct one, and it should be placed in the top-left dashed square relative to point $P$.

Answer:

The correct triangle is the middle one (vertices labeled $E$, $F$, $D$ with $E$ at the top, $F$ at bottom-left, $D$ at bottom-right), and it should be dragged to the top-left dashed square (the top-most dashed box above point $P$).