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Polygons QRST and Q′R′S′T′ are shown on the following coordinate grid:

A coordinate plane with two polygons is shown. Polygon QRST has vertices Q at 3 comma negative 5, R at 2 comma negative 1, S at 5 comma 0, and T at 5 comma negative 4. Polygon Q prime R prime S prime T prime has vertices at Q prime negative 5 comma negative 4, R prime at negative 1 comma negative 3, S prime at 0 comma negative 6, and T prime at negative 4 comma negative 6.

What set of transformations is performed on QRST to form Q′R′S′T′?

A 180-degree clockwise rotation about the origin followed by a translation 1 unit to the right
A 180-degree clockwise rotation about the origin followed by a translation 1 unit to the left
A translation 1 unit to the left followed by a 270-degree counterclockwise rotation about the origin
A translation 1 unit to the right followed by a 270-degree counterclockwise rotation about the origin

Answers

Answer 1

Answer:

D. A translation 1 unit to the right followed by a 270-degree counterclockwise rotation about the origin

Step-by-step explanation:

See the picture for better visual

Take segments ST and S'T'. If we extend them they will intersect at right angle.

It is the indication that the rotation is 90° or 270° but not 180°, when the corresponding segments come parallel.

The QRST is in the quadrant IV and Q'R'S'T' is in the quadrant III, which mean the rotation is 90° clockwise or 270° counterclockwise.

This rotation rule is:

(x, y) → (y, -x)

We also see the points S and T have x-coordinate of 5 but their images have y-coordinates of -6. It means the translation to the right by 1 unit was the step before rotation.

We now can conclude the correct choice is D:

A translation 1 unit to the right followed by a 270-degree counterclockwise rotation about the origin
Please Help! Giving Brainliest For The Best Answer!Polygons QRST And QRST Are Shown On The Following

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Step-by-step explanation:

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What is Probability?

Probability is calculated as the proportion of favorable events to all potential scenarios of an event. The proportion of positive results, or x, for an experiment with 'n' outcomes can be expressed.

As per the given information given in the question,

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