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Nostrana [21]
1 year ago
11

Find the measure of a positive angle and a negative angle that are coterminal with 100° sketch of three angles labeling clearly

with directional arrows.

Mathematics
1 answer:
docker41 [41]1 year ago
3 0

Coterminal angles are different angles that have the same terminal side.

A positive angle has one turn more around so it has a measure of 100°+360° = 460°.

A negative angle will have a measure that is represented in clockwise rotation and be equal to 100° - 360° = -260°.

We can sketch an angle of measure 100°, a positive coterminal angle and a negative coterminal angle as:

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A' = (0,0)

B'=(8,0)

C'=(8,2)

D'=(0,2)

It is not a rigid motion.

Step-by-step explanation:

To use the mapping rule, substitute the original x and y values in it.

The coordinates of A are (0,0).

Using the mapping rule, the x coordinate of A' = 2x0 = 0

Using the mapping rule, the y coordinate of A' = (1/2)x0=0

So A' will not change locations. The image will be at (0,0).

The coordinates of B are (4,0)

Using the mapping rule, the x-coordinate of B' = 2x4 = 8

Using the mapping rule, the y-coordinate of B' = (1/2)x0=0

Therefore the image of B' will be located at coorindate (8,0)

The coorindates of C are (4,4).

Using the mapping rule, the x-coordinate of C' = 2x4=8

Using the mapping rule, the y-coordinate of C' = (1/2)x4=2

Therefore the image of C' will be located at coordinate (8,2)

The coordinates of D are (0,4)

Using the mapping rule, the x-coordinate of D' = 2x0 = 0

Using the mapping rule, the y-coordinate of D' = (1/2)x4=2

Therefore the image of D' will be located at coordinate (0,2)

<em>Is the transformation a rigid motion?</em>

NO, this transformation is not a rigid motion because the relative distance between the points does not stay the same after they have been transformed. The transformation is not a translation , rotation, reflection, nor glide reflection.

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3 years ago
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