Question

what transformation maps the black figure onto the blue figure?
select the correct choice below and fill in the answers box(es) to complete your choice.
o a. translation, t
o b. glide reflection, (t) 。r_y=-x
o c. glide reflection, (t) 。r_x=1.5
o d. reflection, r_x=
o e. glide reflection, (t) 。r
o f. glide reflection, (t) 。r_y=x
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Explanation:

Step1: Understand glide reflection

A glide reflection is a composition of a reflection and a translation. First, we need to check the axis of reflection.

Step2: Analyze the orientation and position

Looking at the black and blue figures, we can observe that a reflection over \(y = -x\) (the line \(y=-x\) swaps \(x\) and \(y\) coordinates and changes their signs: \((x,y)\to(-y, -x)\)) followed by a translation (\(T\)) will map the black figure to the blue figure.

Answer:

B. Glide reflection, \((T)\circ R_{y = -x}\)