which rule describes the composition of transformations that maps figure abcde to figure a\b\c\d\e\?\n$r_{c,9…

which rule describes the composition of transformations that maps figure abcde to figure a\b\c\d\e\?\n$r_{c,90^{circ}}circ r_{m}$\n$r_{m}circ r_{c,90^{circ}}$\n$r_{c,180^{circ}}circ r_{m}$\n$r_{m}circ r_{c,180^{circ}}$

which rule describes the composition of transformations that maps figure abcde to figure a\b\c\d\e\?\n$r_{c,90^{circ}}circ r_{m}$\n$r_{m}circ r_{c,90^{circ}}$\n$r_{c,180^{circ}}circ r_{m}$\n$r_{m}circ r_{c,180^{circ}}$

Answer

Answer:

The correct option is (r_{m}\circ R_{C',90^{\circ}})

Explanation:

Step1: Analyze rotation

First, observe that figure (ABCDE) seems to be rotated (90^{\circ}) counter - clockwise about point (C') (denoted as (R_{C',90^{\circ}})). This rotates the figure to an intermediate position.

Step2: Analyze reflection

Then, the intermediate - rotated figure is reflected across line (m) (denoted as (r_{m})). The order of composition is important. The rotation is done first and then the reflection. So the composition of transformations is (r_{m}\circ R_{C',90^{\circ}}) which means first perform (R_{C',90^{\circ}}) and then perform (r_{m}).