Graph the image of M( – 9,1) after a rotation 270° counterclockwise around the origin.

Mathematics

1 answer:

Masja [62]3 years ago

3 0

The points of (9,1) after a 270 degree counterclockwise rotation would be (1,-9)
Hope this helps!

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Choose all of the statements that correctly describe the transformation rule. Reflection over x-axis: (x, y) ? (?x, y) Reflectio

matrenka [14]

<h2>Answer:</h2>

Transformations are important subjects in geometry. In this exercise, these are the correct transformation rules:

<h3>1. Reflection over x-axis:</h3>

Consider the point $(x,y)$ , if you reflect this point across the x-axis you should multiply the y-coordinate by -1, so you get:

$\boxed{(x,y)\rightarrow(x,-y)}$

<h3>2. Reflection over y-axis: </h3>

Consider the point $(x,y)$ , if you reflect this point across the y-axis you should multiply the x-coordinate by -1, so you get:

$\boxed{(x,y)\rightarrow(-x,y)}$

<h3>3. Rotation of 90° counter-clockwise about origin: </h3>

Consider the point $(x,y)$ . To rotate this point by 90° around the origin in counterclockwise direction, you can always swap the x- and y-coordinates and then multiply the new x-coordinate by -1. In a mathematical language this is as follows:

$\boxed{(x,y)\rightarrow(-y,x)}$

<h3>4. Rotation of 180° counter-clockwise about origin:</h3>

Consider the point $(x,y)$ . To rotate this point by 180° around the origin, you can flip the sign of both the x- and y-coordinates. In a mathematical language this is as follows:

$\boxed{(x,y)\rightarrow(-x,-y)}$