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6. Let A = (-1,1), B = (1, 1), C = (1,-1) and D = (-1,-1) be the vertices of a square, ordered clockwise. Let O = (0,0) be the origin and let m be the x-axis. Identify the following rigid motions. Your answer should consist of a single translation, reflection, glide reflection or rotation, and you should explain your reasoning. a. $\rho_{DB} \circ \rho_m$ b. $\rho_{DC} \circ \tau_{DC}$ c. $\rho_m \circ \rho_{DC}$ d. ($\rho_{DB} \circ \rho_m$) \circ ($\rho_{DC} \circ \tau_{DC}$)

          6. Let A = (-1,1), B = (1, 1), C = (1,-1) and D = (-1,-1) be the vertices of a square,
ordered clockwise. Let O = (0,0) be the origin and let m be the x-axis. Identify the following
rigid motions. Your answer should consist of a single translation, reflection, glide reflection or
rotation, and you should explain your reasoning.
a. $\rho_{DB} \circ \rho_m$
b. $\rho_{DC} \circ \tau_{DC}$
c. $\rho_m \circ \rho_{DC}$
d. ($\rho_{DB} \circ \rho_m$) \circ ($\rho_{DC} \circ \tau_{DC}$)

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6. Let A = (-1,1), B = (1, 1), C = (1,-1) and D = (-1,-1) be the vertices of a square,
ordered clockwise. Let O = (0,0) be the origin and let m be the x-axis. Identify the following
rigid motions. Your answer should consist of a single translation, reflection, glide reflection or
rotation, and you should explain your reasoning.
a. ρDB∘
b. ρDC∘τDC
c. ∘ρDC
d. (ρDB∘) ∘(ρDC∘τDC)

Added by Taylor E.

Geometry A Common Core Curriculum

Ron Larson, Laurie Boswell 1st Edition

Instant Answer

Solved by Expert Erika Bustos

06/11/2022

Step 1

The vertices of the square are A = (-1,1), B = (1,1), C = (1,-1), and D = (-1,-1). The origin is O = (0,0). Show more…

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Please explain clearly for me, thank you! 6. Let A = (-1,1), B = (1,1), C = (1,-1) and D = (-1,-1) be the vertices of a square, ordered clockwise. Let O = (0,0) be the origin and let m be the y-axis. Identify the following rigid motions. Your answer should consist of a single translation, reflection, glide reflection or rotation, and you should explain your reasoning. a. PDB o Pm b. PDC o TDC c. Pm o PDC d. (PDB o Pm) o (PDC o TDC)

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