Question

1. the semaphore alphabet is a way to use flags to signal messages. heres how to signal the letter q. describe a transformation that would take the right - hand flag to the left - hand flag. (from unit 1, lesson 13.) 5. here are 2 polygons: select all sequences of translations, rotations, and reflections below that would take polygon p to polygon q. a. rotate 180° around point a. b. translate so that a is taken to j. then reflect over line ba. c. rotate 60° counterclockwise around point a and then reflect over the line fa. d. reflect over the line ba and then rotate 60° counterclockwise around point a. e. reflect over line ba and then translate by directed line segment ba. (from unit 1, lesson 13.)

Explanation:

Step1: Analyze option A

Rotating polygon \(P\) 180° around point \(A\) will map polygon \(P\) to polygon \(Q\) as the orientation and position of vertices will match.

Step2: Analyze option B

Translating so that \(A\) is taken to \(J\) changes the position of \(P\), and then reflecting over line \(BA\) will not map \(P\) to \(Q\).

Step3: Analyze option C

Rotating 60° counter - clockwise around point \(A\) and then reflecting over line \(FA\) will not map \(P\) to \(Q\).

Step4: Analyze option D

Reflecting over line \(BA\) and then rotating 60° counter - clockwise around point \(A\) will not map \(P\) to \(Q\).

Step5: Analyze option E

Reflecting over line \(BA\) and then translating by directed line segment \(BA\) will not map \(P\) to \(Q\).

Answer:

A. Rotate 180° around point \(A\)