An illustration of a coordinate plane with four quadrants shows the x and y axes extending from negative 8 to 8 in increments of 1. A triangle A B C is plotted on the graph. The triangle A B C has its vertices marked with closed points at A left parenthesis 2 comma 4 right parenthesis, B left parenthesis 6 comma 6 right parenthesis, and C left parenthesis 6 comma 2 right parenthesis.
Given point A (2, 4)
on the triangle in Quadrant I, where is the new point if the triangle is rotated 90 degrees counterclockwise?
(1 point)
Responses
(−2,−4)
left parenthesis negative 2 comma negative 4 right parenthesis
(4,−2)
left parenthesis 4 comma negative 2 right parenthesis
(−4,−2)
left parenthesis negative 4 comma negative 2 right parenthesis
(−4, 2)
1 answer
To determine the new coordinates of point A (2, 4) after rotating the triangle 90 degrees counterclockwise around the origin, we can use the rotation rule for 90 degrees counterclockwise, which is:
\[ (x, y) \rightarrow (-y, x) \]
Applying this rule to point A (2, 4):
Now we apply the rotation transformation:
\[ (2, 4) \rightarrow (-4, 2) \]
Thus, the new coordinates for point A after a 90-degree counterclockwise rotation are (-4, 2).
The correct response is:
(-4, 2)
1 answer
1 answer
11 answers
1 answer