Question

which rule describes the composition of transformations that maps figure pqrs to figure p\q
\s\?

\\(r \circ r_l\\)
\\(r_l \circ r_{q, 180^\circ}\\)
\\(r_{q, 180^\circ} \circ r_{s, 270^\circ}\\)
\\(r_{s, 270^\circ} \circ r_{q, 180^\circ}\\)

Explanation:

Analyze the first transformation from PQRS to P'Q'R'S'

Using the Geometric Rotations knowledge point

$$
LATEXBLOCK0
$$

Analyze the second transformation from P'Q'R'S' to P''Q''R''S''

Using the Composition of Transformations knowledge point

$$
LATEXBLOCK1
$$

Combine the transformations in function notation

Using the Composition of Transformations knowledge point

$$
LATEXBLOCK2
$$

Answer:

• (A) \(R \circ r_l\)
• (B) \(r_l \circ R_{Q, 180^\circ}\) (Correct answer)
• (C) \(R_{Q, 180^\circ} \circ R_{S', 270^\circ}\)
• (D) \(R_{S', 270^\circ} \circ R_{Q, 180^\circ}\)