What is the image of the point (3, 2) after a rotation of 90° counterclockwise about the origin?
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Answer:
Step-by-step explanation:
Hi there! First thing I want to say is that I will have a photo attached to this problem. If you don't see it or need any more clear explanation, please don't hesitate to reach out! Anyways, I will go step by step for this problem and also include a definition.
Okay, what we have here is a right triangle, which has a 90 degree angle. And we have two sides and want to find the other side. With this problem, we will use the pythagorean theorem. The pythagorean theorem is an equation or formula that helps someone to find a side of a 90 degree right triangle, when two sides are presented.
Formula: a² + b² = c²
a would be the height of the triangle, b would be the length, and c is the hypotenuse of the triangle.
What we have so far is b and c. b is 3 and c is 5. So with that in mind we will replace b and c with the numbers we are given. And then solve from there...
a² + b² = c²
a² + 3² = 5²
a² + 9 = 25
<u> -9 -9</u>
a² = 16
=
a = 4
There you go! And you can always go back and check your answer! I hope this helped, if not please ask and don't be afraid! And I again have attached a picture of the work! Have a great day!
