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Andrews [41]
2 years ago
13

Suppose two angles in a coordinate plane, one measuring 80° and the other measuring 160°, were both rotated 180° about the origi

n and then translated 40 units down. Which of these would be a measure of
one of the resulting angles? Select all that apply.
160°
340°
80°
40°
120°
260°
Mathematics
2 answers:
IceJOKER [234]2 years ago
3 0

Answer:

120 and 260

Step-by-step explanation:

‍♀️

sp2606 [1]2 years ago
3 0

Answer:120 and 160

Step-by-step explanation:

i did it

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uysha [10]

Answer:

a reflection over the x-axis and then a 90 degree clockwise rotation about the origin

Step-by-step explanation:

Lets suppose triangle JKL has the vertices on the points as follows:

J: (-1,0)

K: (0,0)

L: (0,1)

This gives us a triangle in the second quadrant with the 90 degrees corner on the origin. It says that this is then transformed by performing a 90 degree clockwise rotation about the origin and then a reflection over the y-axis. If we rotate it 90 degrees clockwise we end up with:

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Then we reflect it across the y-axis and get:

J: (0,1), K:(0,0), L: (-1,0)


Now we go through each answer and look for the one that ends up in the second quadrant;

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If we do a reflection over the x-axis and then a 90 degree counterclockwise rotation about the origin we also end up in the fourth quadrant.

If we do a reflection over the x-axis and then a reflection over the y-axis we also end up in the fourth quadrant.

The third answer is the only one that yields a transformation which leads back to the original position.

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