Question

Andre tried to rotate triangle ABC 45 degrees counterclockwise. He knows something went wrong because the image doesn't seem to be congruent to the original figure. 1. What is one idea that Andre probably understands about rotations? 2. What is one idea that Andre's doesn't understand about rotations? 3. Rotate triangle by 45 degrees counterclockwise, avoiding Andre’s mistake.

Answer 1

The solution to the above-asked question is mathematically given as

• Rotation angle.
• The point around which the figure is to be rotated, also known as the center of rotation
• Repeat step one for point B, then step one again for point C, but keep the center of rotation the same. This is the mistake that Andre made.

This is further explained below.

What is one idea that Andre probably understands about rotations?

The problem is that Andre, while rotating the points by 45 degrees, alters the point that serves as the center of rotation. As a consequence of this, his rotation is inaccurate.

In order to rotate a figure, which can be thought of as a collection of points that are separated from one another by predetermined distances, the center of rotation must stay the same for each point that is rotated inside the figure.

in order to rotate an angle figure by an angle of, we need to have knowledge of the following three things:

1)

Rotation angle.

2)

The point around which the figure is to be rotated, also known as the center of rotation

3)

In conclusion, The direction in which the object is being rotated, either clockwise or counterclockwise.

To rotate the figure, you need just to choose one point to use as the center of rotation

Now, with the help of a protractor, rotate point A by 45 degrees anticlockwise.

Repeat step one for point B, then step one again for point C, but keep the center of rotation the same. This is the mistake that Andre made.

Read more about Rotation angle.

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