Graph a triangle (LMN) and rotate it 180° around the origin to create triangle L′M′N′. 1. Describe the transformation using words. Make sure you refer to the characteristics and the coordinates.
2. Draw a line through points L and L′ and through M and M′. What do you notice about the lines you drew? Do you think you would notice the same characteristics if you drew another line through points N and N′? How do you know?

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Step-by-step explanation:

1. Rotation 180° about any center is equivalent to reflection across that center point. The center of rotation becomes the midpoint of any segment connecting a pre-image point with its image. When the center is the origin, each of the coordinates of the pre-image is negated to get the corresponding coordinates of the image.

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2. Each line connecting the pre-image point with its image passes through the origin (center of rotation). The origin is the midpoint of the segment. This is true for the segments shown and for any not shown.

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step-by-step explanation: