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Length of the reflected line: A line containing the points (-2, 3) and (2, 3) is horizontal with a constant y-value of 3. The line has endpoints that distance of 4 units because: \[ \text{Distance} = |x_2 - x_1| = |2 - (-2)| = |2 + 2| = 4 \] When reflected across the z-axis, the y-value remains constant, and the x-values change sign. So the reflected endpoints are (2, 3) and (-2, 3), maintaining a length of 4 units.
Answer: 4 units
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New endpoints after rotating the segment 90° clockwise: To rotate a point (x, y) 90° clockwise about the origin, the new coordinates become (y, -x).
For the endpoints (2, -1):
- New coordinates = (-1, -2)
For the endpoints (5, -4):
- New coordinates = (-4, -5)
Therefore, the new endpoints after a 90° clockwise rotation are (-1, -2) and (-4, -5).
Answer: (-1, -2) and (-4, -5)
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Length of a rectangle side after translation: Translation does not affect the length of sides of a figure. The length remains constant regardless of its position. Thus, a side that is 10 units long will still be 10 units long after being translated down 4 units and to the right 5 units.
Answer: 10 units
A line containing the points (-2, 3) and (2, 3) is reflected across the z-axis. How long is the reflected line? (1 point)
3 units
infinitely long
4 units
not enough information
A line segment has endpoints (2,-1) and (5,-4). What are the new endpoints after rotating the segment 90" clockwise? (1 point)
(-1,-2) and (-4, -5)
(-2,-1) and (-5, -4)
(2,1) and (4, 5)
(-2, 1) and (-5, 4)
A rectangle has a side that is 10 units long. How long will this side be after the figure is translated down 4 units and to the right 5 units?
1 answer