What set of reflections would carry rhombus ABCD onto itself? Rhombus ABCD is shown. A is at 0, 2. B is at 1, 2. C is at 2, 4. D

Question

2 years ago

13

is at 3, 2. y-axis, x-axis, y-axis x-axis, y-axis, y-axis y=x, x-axis, y=x, y-axis x-axis, y=x, x-axis, y=x

2 answers:

svlad2 [7] · Answer 1 · 2022-03-22T19:29:42+03:00

Answer:

y=x, x-axis, y=x, y-axis

Step-by-step explanation:

A reflection across the line y=x will switch the x- and y-coordinates:

(x, y)→(y, x)

A reflection across the x-axis will negate the y-coordinate:

(y, x)→(y, -x)

A reflection across the line y=x will again switch the x- and y-coordinates:

(y, -x)→(-x, y)

A reflection across the y-axis will negate the x-coordinate:

(-x, y)→(x, y)

This is the same ordered pair we began with, so this is correct.

lakkis [162] · Answer 2 · 2022-03-22T18:06:52+03:00

4 0

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