Question

lesson summary
a sequence of transformations maps 1 figure onto another using rotations, translations, and dilations. when a sequence of transformations is applied, the location and orientation of the image will be in which the sequence of transformations is important.
a commutative sequence of transformations is one where the image will be in the same location and orientation regardless of the order in which the sequence of transformations are applied. note that not all sequences are commutative.
practice problems

1. lfnc, lfnc, lfnc, and lfnc are shown on the coordinate grid.

a. complete the table by describing the sequence of transformations of lfnc that results in lfnc.

transformation	written description
lfnc to lfnc
lfnc to lfnc

Explanation:

Step1: Analyze LFNC to L'F'N'C'

Count the grid - square movements. The figure LFNC is translated 4 units to the right and 3 units up to get L'F'N'C'.

Step2: Analyze L'F'N'C' to L''F''N''C''

The figure L'F'N'C' is rotated 90 degrees counter - clockwise about the origin.

Step3: Analyze L''F''N''C'' to L'''F'''N'''C'''

The figure L''F''N''C'' is dilated by a scale factor of 0.5 with the center of dilation at the origin.

Answer:

Transformation	Written Description
L'F'N'C' to L''F''N''C''	Rotate 90 degrees counter - clockwise about the origin
L''F''N''C'' to L'''F'''N'''C'''	Dilate by a scale factor of 0.5 with the center of dilation at the origin