134k views
25 votes
Find the image of ( 1 , 2 ) after a reflection about y = x followed by a reflection about y = - x

PLS ONLY ANSWER IF YOU KNOW THE ANSWER.

Find the image of ( 1 , 2 ) after a reflection about y = x followed by a reflection-example-1
User Srisa
by
8.7k points

2 Answers

5 votes
the answer should be the following:
1. (2,1)
2. (-1,-2)
User Robert Strauch
by
7.9k points
6 votes

Answer:

(-1,-2)

Explanation:

Think of the line y=x as a mirror. The image of the point (1,2) is obtained by drawing a line through (1,2) perpendicular to the line y=x and finding the point on the perpendicular line that is equal distance from the line y=x but on the other side. This gets you to the point (2,1).

Similarly, from (2,1) find the mirror image using the line y=-x as the mirror. You travel diagonally 1.5 diagonal squares to reach y=-x and then continue another 1.5 diagonals to reach (-1,-2) which is your answer.

User Nyyrikki
by
8.8k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories