Draw a line that goes through point B. Draw a line that intersects the first line, but not at point B. Measure the distance of point B to the intersection. On the second line, draw point B′ that is the same distance from the intersection as point B.
Which of the following answers describes the transformation of point B to point B′?
a rotation
a reflection
a translation
i think its rotation
kevin is right
The transformation from point B to point B' can be described as a translation.
The transformation from point B to point B' described in the question is a translation.
To understand this transformation, let's break it down step by step:
1. First, we draw a line that passes through point B.
2. Next, we draw a second line that intersects the first line but not at point B. This means the two lines meet at some other point (let's call it C).
3. We then measure the distance from point B to the intersection point C. This gives us a specific length.
4. On the second line, we draw point B' such that it is the same distance away from the intersection point C as point B.
Now, let's consider the types of transformations mentioned:
- A rotation would involve turning or spinning an object around a fixed point. But in this case, there is no rotation taking place.
- A reflection would involve flipping or mirroring an object across a line. However, point B and point B' are not mirrored or flipped versions of each other.
- A translation is a transformation that involves moving an object from one location to another without altering its shape or orientation. In this case, point B is translated or moved along the second line to point B' while maintaining the same distance from the intersection point C.
Based on this analysis, we can conclude that the transformation of point B to point B' is a translation.