You can use the fact that reflection, rotation or translation, all three are not modifying the line itself and only its position can change. Whatever be the position, if the line segment itself isn't modified, the length will be same.
Thus, the correct choices are:
- Option A: If it is reflected across the y-axis, the length will still be 12 units.
- Option B: If it is rotated 270° about the origin, its length still will be 12 units.
- Option E: If it is translated 15 units up, its length still will be 12 units.
Rest of the choices are wrong since they blame reflection or rotation or translation to modify the length of that line segment.
Why is the length of a line segment not modified when it is reflected along an axis, rotated or translated by some units in some direction?
Suppose you've got a baseball stick. Will it's length change when you take it somewhere else like from your home to playground? No. Will its length change if you hold it upside down? No.
This is the same case with line segment being rotated, reflected, or translated. All these processes do not change the line segment's length and can just move that line segment from one position to other.
Using above conclusion to find the correct options in the given context
Since reflection, rotation, or translation won't affect the length of the line segment,.
Thus, the correct choices are:
- Option A: If it is reflected across the y-axis, the length will still be 12 units.
- Option B: If it is rotated 270° about the origin, its length still will be 12 units.
- Option E: If it is translated 15 units up, its length still will be 12 units.
Rest of the choices are wrong since they blame reflection or rotation or translation to modify the length of that line segment.
Learn more about reflection, rotation and translation of line segment here:
https://brainly.com/question/17201260
