Geometry (all content)
An older video where Sal uses the interactive widget to find the image of a rectangle under a translation. Created by Sal Khan.
Want to join the conversation?
- what is the difference between translation and reflection?(7 votes)
- Translation: moving the origin of a polygon, but retaining the direction of each axis.
Reflection: a polygon's "mirror image" over a specified line.
- can polygons be circular(4 votes)
- No way... a polygon is defined as what? How about a circle? You can bend into a polygon a circular wire; but geometrically, the two concepts are as different as night and day! :-)(0 votes)
- How would you define a regular polygon?(2 votes)
- Regular Polygon :
If all angles are equal and all sides are equal, then it is a regular polygon (otherwise it is "irregular").(3 votes)
- i couldnt load the video(2 votes)
- Is a polygon a four sided shape(2 votes)
- A polygon is any closed shape with any number of straight, equal, sides. A quadrilateral has 4 sides.
Hope this helps!(2 votes)
- How would one describe a translation without a coordinate graph given, or coordinate points given for the vector? Also, would you use compass directions to describe the translation?(2 votes)
- Do translations have to be on the coordinate plane?(2 votes)
- Good question.
A translation occurs anytime a "preimage" is shifted up/down and left/right to a new location.
It's easiest to track a translation on a coordinate plane because we can make sure all corners are shifting the same numerical value.
However, you can translate a doodle on a blank piece of paper simply by recreating that exact doodle on another location on your paper - maybe down to the right.(1 vote)
- How to find if it is a rigid motion(2 votes)
- If the figure stays the same shape and size then its a rigid motion. So any rotation, translation, and reflection are rigid motions.(1 vote)
What is the image of the polygon below after the translation is capital T with the subscript 5 comma 2? So that means let's translate 5 in the horizontal direction and 2 in the vertical direction. So let's do that. So I'm going to focus on this point right over here. So that point is at the point 3 comma 3. If I want to translate five in the horizontal direction, the x value is going to get to 8. So the x value is going to 1, 2, 3, 4, 5. And then we want to increase the y value by 2. 1, 2. Let's check our answer. Let's do a couple more of these. That was lot of fun. So here we need to shift it by negative 8 in the horizontal direction. So this one right over here, it's x value is 0, so we need to go essentially negative 8, negative 1, negative 2, or we move to the left 1, 2, 3, 4, 5, 6, 7, 8. And then we have to move it down by 2. So we have to move down 1, move it down 2. And we're done.