in a short summary, explain how to translate points and line segments
To translate points and line segments, follow these steps:
1. Start by determining the direction and distance of the translation. The direction can be given as left (L), right (R), up (U), or down (D). The distance can be described using units, such as inches or centimeters.
2. For translating points:
- If given a point in the form (x, y), add or subtract the given direction and distance to its x and y coordinates, respectively. For example, if the translation direction is right (R) and the distance is 3 units, add 3 to the x-coordinate of the point. If the direction is up (U) and the distance is 2 units, add 2 to the y-coordinate of the point.
3. For translating line segments:
- Find the endpoints of the line segment.
- Apply the same translation steps used for points to each endpoint.
- Connect the translated endpoints to form the new line segment.
Remember that translations preserve the shape and size of the original figure, only changing its position in the coordinate plane.
can you summarize that
To translate points and line segments, determine the direction (left, right, up, or down) and distance of the translation. For points, add or subtract the direction and distance to their coordinates. For line segments, apply the translation to each endpoint and connect them to form the new segment. Translations preserve the shape and size of the figure, only changing its position.
a line segment is translated 8 units down and 3 units to the right. one of the endpoints after the translations is (-6,4). what was this point before the translation
To determine the original endpoint before the translation, we need to reverse the given translation.
The translation described is 8 units down (D) and 3 units to the right (R).
To reverse the translation, we need to move 8 units up (U) and 3 units to the left (L).
Starting with the endpoint after the translation (-6, 4), we will apply the reverse translation:
Moving 8 units up (U):
4 + (-8) = -4
Moving 3 units to the left (L):
-6 + (-3) = -9
Therefore, the original endpoint before the translation was (-9, -4).