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ziro4ka [17]
3 years ago
6

What is a simple way to rotate a shapes or points

Mathematics
1 answer:
mrs_skeptik [129]3 years ago
3 0

When rotating points and shapes on a coordinate plane, you can use these simple methods:

90 degree rotation clockwise: convert (x, y) to (y, -x).

Example: (2, -4) --> (4, 2)

180 degree rotation clockwise: convert (x, y) to (-x, -y).

Example: (2, 4) --> (-2, -4).

270 degree rotation clockwise: convert (x, y) to (-y, x).

Example: (4, 2) --> (-2, 4)

360 degree rotation: This changes nothing. This basically means that the figure spins in a full circle only to return to its previous position.

Notes:

-Don't be spooked whenever you see a question that says to rotate an object 90 degrees counterclockwise. This is the exact same thing as a 270 degree rotation clockwise.

Example: (4, 2) rotated 270 degrees clockwise = (2, -4). (4, 2) rotated 90 degrees counterclockwise = (2, -4).

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A line passes through the points (–1, –5) and (4, 5). The point (a, 1) is also on the line.
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Answer:

a = 2

Step-by-step explanation:

Let's find the equation of the line using the 2 points given.

Let's call -1 as x_1 and -5 as y_1

also, 4 as x_2 and 5 as y_2

The equation of line is :

y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)

<em>Let's plug the points and get the equation of the line:</em>

y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\y+5=\frac{5+5}{4+1}(x+1)\\y+5=2(x+1)\\y+5=2x+2\\y=2x-3

Now, to find a, we substitute a in x and 1 in y of the equation of the line we just got:

y=2x-3\\1=2(a)-3\\1=2a-3\\2a=4\\a=\frac{4}{2}=2

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Furthermore, <span>y = -3|x| is a downward V, and
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Step-by-step explanation:

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