Question

△jkl and its image are shown. which single transformation maps △jkl onto its image? choose all that apply. translate 3 units down. translate 7 units down. reflect across the x - axis. reflect across the y - axis. rotate 90° counterclockwise around the origin. rotate 270° counterclockwise around the origin.

Explanation:

Step1: Analyze translation

Translation only moves the figure vertically or horizontally. Counting the vertical distance between corresponding points of $\triangle{JKL}$ and its image, we find it is 7 units down.

Step2: Analyze reflection

Reflecting across the $x - axis$ or $y - axis$ would change the orientation in a different way than shown. Points would be on the opposite side of the axis of reflection.

Step3: Analyze rotation

Rotating 90° or 270° counter - clockwise around the origin would change the orientation of the triangle in a way that does not match the given image.

Answer:

Translate 7 units down.