If P = (3,2), find the image
1 answer:
Given:
The point P = (3,2) is rotated 270° counterclockwise about the origin.
To find:
The image of the given point after rotation.
Solution:
If a point rotated 270° counterclockwise about the origin, then the rule of rotation is:
Using this rule, we get
Therefore, the image of given point P = (3,2) after the rotation of 270° counterclockwise about the origin, is P'(2,-3).
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<u>Given</u>:
Given that O is the center of the circle.
AB is tangent to the circle.
The measure of ∠AOB is 68° and we know that the tangent meets the circle at 90°
We need to determine the measure of ∠ABO.
<u>Measure of ∠ABO:</u>
The measure of ∠ABO can be determined using the triangle sum property.
Applying the property, we have;
Substituting the values, we get;
Adding the values, we have;
Subtracting both sides by 158, we get;
Thus, the measure of ∠ABO is 22°