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Blizzard [7]
2 years ago
6

Start with Chanel’s sequence. How does a 90-degree counterclockwise rotation about the origin change the coordinates of a shape?

**SEE PIC BELOW**

Mathematics
2 answers:
zmey [24]2 years ago
8 0

When a shape is rotated, it must be rotated through a point.

  • <em>90 degrees counterclockwise rotation negates the y-coordinates, and then swap the x and y-coordinates</em>
  • <em>Chanel is incorrect</em>

The rule of 90 degrees counterclockwise is:

(x,y) \to (-y,x)

This means that:

  • <em>The y-coordinate is negated</em>
  • <em>Then the y and x coordinates are swapped</em>

<em />

However, Charlies transformation is incorrect.

  • This is so because, the shape was not rotated, but instead it was reflected  across the x-axis.
  • Then, the shape was dilated

Using points L and Q

L=(1,1)

When L is reflected across the x-axis.

The rule is:

(x, y) \to (x, -y)

So, we have:

(1, 1) \to (1, -1)

Next, it is dilated by 2.

The rule of this is:

(x,y) \to k(x,y)

So, we have:

(1,1) \to2 \times  (1,-1)

(1,1) \to (2,-2)

From the diagram, the coordinate of Q is:

Q = (2,-2)

Same as the calculated point

Hence, Chanel is incorrect

Read more about transformation at:

brainly.com/question/11709244

emmasim [6.3K]2 years ago
7 0

Answer:

So when rotating a 90 degrees counterclockwise rotation about the origin we have to change (x, y) to (-y, x).

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