Question

figures 1 and 2 are congruent. which sequence of transformations will map figure 1 onto figure 2? reflect across line m translate to the right dilate by a factor of 2 rotate 90° clockwise about point p

Explanation:

Step1: Analyze each transformation option

• Translate to the right: This would just move the figure horizontally but not change its orientation relative to the line \(m\) in a way that maps figure 1 to 2.
• Dilate by a factor of 2: Since the figures are congruent (same shape and size), dilation (which changes size) is not applicable.
• Rotate \(90^{\circ}\) clockwise about point \(P\): This would change the orientation of the figure in a way that is not consistent with the relationship between figure 1 and 2.
• Reflect across line \(m\): A reflection across a line is a transformation that flips a figure over the line. If we consider line \(m\) as the axis of reflection, figure 1 can be mapped onto figure 2 by this operation.

Answer:

reflect across line \(m\)