Mathematics, 15.01.2020 16:31 nasrul3725

What set of reflections and rotations would carry rectangle abcd onto itself? parallelogram formed by ordered pairs a at negative 4, 1, b at negative 3, 2, c at 0, 2, d at negative 1, 1. rotate 180°, reflect over the x-axis, reflect over the line y=x reflect over the x-axis, rotate 180°, reflect over the x-axis rotate 180°, reflect over the y-axis, reflect over the line y=x reflect over the y-axis, reflect over the x-axis, rotate 180°

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Each of the 4 choices has been drawn step by step as follows:

the first transformation is drawn in light grey
the second transformation is drawn in dark grey
the third transformation is described as how it should be.

Choice I, picture I:
Rotate 180°, reflect over the x-axis, reflect over the line y=x

the last transformation should be : reflect with respect to the y-axis

Choice II, picture II:
Reflect over the x-axis, rotate 180°, reflect over the x-axis

the last transformation should be : reflect with respect to the y-axis

Choice III, picture III:
Rotate 180°, reflect over the y-axis, reflect over the line y=x

the last transformation should be : reflect with respect to the x-axis

Choice IV, picture IV:
Reflect over the y-axis, reflect over the x-axis, rotate 180°

the last transformation should be : rotate 180° CORRECT!

Reflect over the y-axis, reflect over the x-axis, rotate 180°

What set of reflections and rotations would carry rectangle abcd onto itself? parallelogram formed

What set of reflections and rotations would carry rectangle abcd onto itself? parallelogram formed

Answer from: chrisgramjooooo2366

The set of reflections and rotations that carry rectangle ABCD onto itself are: rotate $180^\circ$ , reflect over the y-axis, reflect over the line y = x.

For solving this question we have to go through the options and their respective graphs.

Option A) - Reflect over the y-axis, reflect over the x-axis, rotate $180^\circ$ . Therefore, this option is incorrect.

Option B) - Rotate $180^\circ$ , reflect over the x-axis, reflect over the line y = x. Therefore, this option is incorrect.

Option C) - Reflect over the x-axis, rotate $180^\circ$ , reflect over the x-axis. Therefore, this option is incorrect.

Option D) - Rotate $180^\circ$ , reflect over the y-axis, reflect over the line y = x. Therefore, this option is correct.

For more information, refer to the link given below:

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Answer from: Quest

i think the length is 12 and the width is 17

Answer from: Quest

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