Which of the following transformations maps GH into G’H’?
translation right 8 units
translation right 11 units
reflection across the x-axis
reflection across the y-axis
rotation 90° clockwise around the origin
rotation 90° counterclockwise around the origin
rotation 180° around the origin
Which of the following transformations maps GH into G’H’
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To determine which transformation maps GH into G’H’, we need to analyze the positions of both line segments.
1. Translation right 8 units and Translation right 11 units will move GH horizontally but not change its orientation or vertical position.
2. Reflection across the x-axis would flip GH over the x-axis, changing the sign on the y-coordinates.
3. Reflection across the y-axis would flip GH over the y-axis, changing the sign on the x-coordinates.
4. Rotation 90° clockwise would turn the segment by 90° towards the right, which changes both coordinates.
5. Rotation 90° counterclockwise would turn the segment by 90° towards the left.
6. Rotation 180° around the origin would invert both coordinates and move it to the opposite quadrant.
To find the correct answer, compare the endpoints of GH with G’H’ after applying each transformation. The correct transformation will align the endpoints of GH with those of G’H’.
If you have specific coordinates, feel free to share them for a more precise answer!