25 POINTS!! Which of the following would be a line of reflection that would map ABCD onto itself?A: x = 1B: −x + y = 2C: x − y = 2D: 2x + y = 3

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04-11-2022
Mathematics

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25 POINTS!! Which of the following would be a line of reflection that would map ABCD onto itself?A: x = 1B: −x + y = 2C: x − y = 2D: 2x + y = 3

Sagot :

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LanasiaL732146 LanasiaL732146 · Answer 1 · 2022-11-04T07:46:09-04:00

To solve the exercise it is more practical to make a graph of the figure and the lines that can be the axis of symmetry sought.

So, for the first option you have

The red line corresponds to the line x = 1. As you can see this line does not map ABCD on itself.

Now, for the other options, you have

Where:

*the red line corresponds to the line -x + y = 2.

*the blue line corresponds to the line x-y = 2.

*the green line corresponds to the line 2x + y = 3.

Therefore, as you can see, the line that maps ABCD on itself is the red line that corresponds to the function -x + y = 2. And the correct answer is B.

Sagot :

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