drag the image to the correct location. not all tiles will be used.\ntriangle abc is rotated 90° clockwise…

Explanation:

Step1: Recall rotation rules

A ( 90^\circ ) clockwise rotation about a point ((x,y)) transforms a point ((a,b)) to ((b, -a + x + y)) (simplified for center ( P ), we focus on orientation and relative position). For a triangle, we analyze the vertices' rotation.

Step2: Analyze triangle ABC's orientation

Triangle ( ABC ) has base ( AB ) horizontal, vertex ( C ) above. Rotating ( 90^\circ ) clockwise about ( P ), the horizontal base ( AB ) will become vertical (since ( 90^\circ ) rotation changes horizontal to vertical), and the vertex direction changes.

Step3: Match with given triangles

Among the options, the triangle with ( ED ) (corresponding to ( AB )) vertical and ( F ) on the right - side (matching ( 90^\circ ) clockwise rotation of ( C )'s position relative to ( AB )) is the one with ( E ) and ( D ) vertical, ( F ) on the right (the third triangle: ( E ) top - left, ( D ) bottom - left, ( F ) right). We drag this triangle to the position such that the rotation about ( P ) aligns the vertices (relative to ( P )) correctly. The correct triangle is the one with ( E ) and ( D ) vertical, ( F ) on the right (the triangle where ( E ) is above ( D ), and ( F ) is to the right of ( D - E ) segment), and we place it in the dashed box such that the rotation about ( P ) is accurate (relative position from ( P ) matches the rotated ( ABC )).

Answer:

The correct triangle (with ( E ) above ( D ), ( F ) to the right of ( DE )) is dragged to the dashed box such that the ( 90^\circ ) clockwise rotation about ( P ) aligns the vertices. (Visually, the triangle with ( E ) and ( D ) vertical, ( F ) on the right is the correct one to drag to the appropriate dashed location near ( P ).)