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satela [25.4K]
3 years ago
11

What is the image of the point (-5, 4) after a rotation of 270° counterclockwise

Mathematics
1 answer:
Illusion [34]3 years ago
5 0

Answer:

(4, 5)

Step-by-step explanation:

this is the same as a 90° rotation clockwise.

with the coordinates of (-5, 4) we start in the top left quadrant (x values are negative, y values are positive).

and we end up in the top right quadrant (x and y values are positive).

the line from the origin to the point is perpendicular (90° angle) to the line of the origin to the original point, as we just rotated by 90° or 270°.

that means the rules for the slope of perpendicular lines apply :

x and y coordinate differences trade places, and the sign of their ratio is flipped.

luckily, because the origin is the reference point for both lines, the point coordinates are automatically the coordinate differences to (0, 0).

and because we need to get 2 positive coordinates, that means

(-5, 4) turns into (4, 5)

as the alternative (-4, -5) would be in the bottom left quadrant.

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If 2x - 3 + 3x equals -28 what is the value of x​
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Which of these triangle pairs can be mapped to each other using two reflections? Triangles X Y Z and P Y T are connected at poin
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Answer:

The correct option is the first option;

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Step-by-step explanation:

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1) The parameters given are triangle XYZ and PYT are connected at point Y

Triangle XY is reflected about XY will shift the marked angle from left to right while the right angle will remain at the same location and the triangle will remain upright to give triangle X'Y'Z'

Reflection about the YZ will give; the marked angle and the right angle in the same location and the vertex X will then be changed to P

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4 years ago
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