On a coordinate plane, 5 parallelograms are shown. Parallelogram L M N P has points (3, 1), (4, 1), (4, 3), and (5, 3). Figure D is reflected across the x-axis. Figure B is reflected across the y-axis. Figure C is rotated in the first quadrant. Figure A is rotated in the third quadrant. Which figure represents the image of parallelogram LMNP after a reflection across the line y = x? figure A figure B figure C figure D

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jbiain jbiain · Answer 1 · 2020-06-25T05:06:59+02:00

Answer:

Figure C

Step-by-step explanation:

Reflection across the line y = x transforms point (x, y) into (y, x)

(3, 1) -> (1, 3)

(4, 1) -> (1, 4)

(4, 3) -> (3, 4)

(5, 3) -> (3, 5)

After rotation, all points remain in the first quadrant. Figure C is rotated in the first quadrant, then it is the correct option.

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okpalawalter8 okpalawalter8 · Answer 2 · 2022-03-30T12:40:47+02:00

Because Figure C is rotated in the first quadrant,its represents the image of parallelogram LMNP after a reflection across the line y = x

A Parallelogram is simply a four-sided quadrilateral with opposite sides parallel to each other.

Question Parameter(s):

5 parallelograms are shown

LM N P has points (3, 1), (4, 1), (4, 3), and (5, 3).

Generally, the indivudual tranformation is is mathematically given as

Reflection gives (x, y) into (y, x)

(3, 1) -> (1, 3)

(4, 1) -> (1, 4)

(4, 3) -> (3, 4)

(5, 3) -> (3, 5)

In conclusion, Figure C represents the image