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Over [174]
3 years ago
8

Kite ABCD is rotated 180 degrees clockwise about the origin and then reflected over the y-axis, followed by a reflection over th

e x-axis. What is the location of point A after the transformations are complete?
Mathematics
1 answer:
sleet_krkn [62]3 years ago
7 0

Answer:

Step-by-step explanation:

Answer:

(-5, 1)

Explanation:

We are given a kite on the graph which is rotated 180° clockwise about the origin and then reflected over the Y axis followed by reflection over the X axis.

We are to find the coordinates of point A after the complete transformation.

A (-5, 1)

When a point is rotated 180° clockwise about the origin, the signs of its coordinates change.

A (-5, 1) ---> A' (5, -1) - after clockwise rotation of 180 degrees about origin

Then this point A' is reflected over the Y axis where the y coordinate remains the same but x coordinate changes its sign.

A' (5, -1) ---> A'' (-5, -1) - after reflection through y axis

Now this point A'' is reflected over the X axis where the x coordinate remains the same while y coordinates changes its sign.

A'' (-5, -1) ---> A''' (-5, 1) - after complete transformation

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