180 Degree Rotations Quick Check

Question

4 of 54 of 5 Items

Question
Use the image to answer the question.

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?

Answer 1

If the triangle is rotated 90 degrees counterclockwise, the new point A' will be in Quadrant IV.

Answer 2

nope

Answer 3

Apologies for that mistake. If the triangle is rotated 90 degrees counterclockwise, the new point A' will be in Quadrant II.

Answer 4

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

(−4,−2)
left parenthesis negative 4 comma negative 2 right parenthesis

(4,−2)
left parenthesis 4 comma negative 2 right parenthesis

(−2,−4)
left parenthesis negative 2 comma negative 4 right parenthesis

(−4, 2)

Answer 5

To rotate a point 90 degrees counterclockwise, we can use the following formulas:

New x-coordinate = -y
New y-coordinate = x

For the point A (2, 4):
New x-coordinate = -4
New y-coordinate = 2

Therefore, the new point A' is (-4, 2).