Question

question 11 (multiple choice worth 1 points) (02.03r mc) polygon abcde is the first in a pattern for a high school art project. the polygon is transformed so that the image of a is at (-4, 2) and the image of its image are congruent? rotate abcde 90° counterclockwise translate abcde left 4 units and down 2 units reflect abcde over the y - axis rotate abcde 90° clockwise

Explanation:

Step1: Analyze transformation rules

Transformations like rotation, translation and reflection can result in congruent figures. We need to find the transformation that moves point A to A'(-4, 2). Assume A has coordinates (x,y) from the graph (let's say A is at (2,4)).

Step2: Check translation

If we translate left 4 units and down 2 units, for a point (x,y) the new - point is (x - 4,y - 2). If x = 2 and y = 4, then (2-4,4 - 2)=(-2,2), which is not correct.

Step3: Check rotation 90° counter - clockwise

The rule for rotating a point (x,y) 90° counter - clockwise about the origin is (-y,x). If A=(2,4), then (-4,2), which matches the given A' coordinates.

Step4: Check reflection over y - axis

The rule for reflecting a point (x,y) over the y - axis is (-x,y). If A=(2,4), then (-2,4), which is not correct.

Step5: Check rotation 90° clockwise

The rule for rotating a point (x,y) 90° clockwise about the origin is (y,-x). If A=(2,4), then (4,-2), which is not correct.

Answer:

Rotate ABCDE 90° counterclockwise