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Nastasia [14]
3 years ago
9

Triangle ABC has vertices A(–2, –3), B(–5, –3), and C(–4, –2). The triangle is rotated 90° counterclockwise around the origin.

Mathematics
2 answers:
Yuri [45]3 years ago
5 0

Answer:B

Step-by-step explanation:B

Mama L [17]3 years ago
4 0

The answer is the option B: A'(3, -2), B'(3, -5), C'(2, -4).

The explanation is shown below:

1. You must apply  the following rule of rotation when the figure is rotated 90° counterclockwise around the origin:

(x,y)→(-y,x)

2. Then, as you can see, you must switch x and y and multiply y by -1.

3. Keeping this on mind, you have that the vertices of the triangle A'B'C' are the following:

A(-2,-3)→A'(3,-2)

B(-5,-3)→B'(3,-5)

C(-4,-2)→C(2,-4)

4. Therefore, you can conclude that the answer is the option B.

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