Answer:
The segment connecting two corresponding points on the image and pre-image is a perpendicular bisector, so the line of reflection bisects the segment and the segment is perpendicular to the line of reflection, or intersects the line at a 90 degree angle.
These fill in the blanks are congruent to each other and translation vector , perpendicular to the line and perpendicular bisector, same distance and sides are proportional, he image is the same size and shape as the pre-image.
Line segment is a piece or part of a line having two endpoints. Unlike a line, a line segment has a definite length.
We have,
1. When I use line segments to connect the corresponding points of a pre-image and the image in a translation, the line segments are congruent to each other and the translation vector because they are parallel to each other.
2. When I use line segments to connect the corresponding points of a pre-image and the image in a reflection, the line of reflection is the perpendicular to the line of the segments because the segment connecting two corresponding points on the image and pre-image is a perpendicular bisector.
3. In a rotation, the corresponding points of the pre-image and the image are at the same distance from the center of rotation because all sides are proportional.
4. Translations, rotations, and reflections are rigid motion transformations because the image is the same size and shape as the pre-image.
Hence, we can say that these fill in the blanks are congruent to each other and translation vector , perpendicular to the line and perpendicular bisector, same distance and sides are proportional, he image is the same size and shape as the pre-image.
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