Question

drag the image to the correct location
triangle abc is rotated 90° counterclockwise about point p to create triangle def. determine the correct orientation and location of triangle def

Explanation:

Step1: Understanding Rotation

When a figure is rotated \(90^{\circ}\) counter - clockwise about a point, each point of the figure moves in a circular path of radius equal to the distance from the point to the center of rotation (point \(P\) here). The direction of movement is counter - clockwise.

Step2: Visualizing the Rotation

For triangle \(ABC\), if we consider the general properties of a \(90^{\circ}\) counter - clockwise rotation:

• The orientation of the triangle changes. If we assume a standard position of triangle \(ABC\) (with vertices \(A\), \(B\), \(C\)), after a \(90^{\circ}\) counter - clockwise rotation about \(P\), the side that was horizontal (say \(AB\)) will become vertical.
• By comparing the given options of triangle \(DEF\) (the first option where \(D\) is at the top, \(E\) at the bottom and \(F\) to the right - like a vertical orientation after rotation from a likely initial horizontal - like orientation of \(ABC\))

Answer:

The first triangle (with \(D\) at the top, \(E\) at the bottom and \(F\) to the right among the three \(DEF\) triangles) is the correct orientation of the rotated triangle.