00:02
In this exercise, we were asked to translate points in the plane.
00:13
So we're given the vertices of a polygon and an indicated translation for these vertices, and we're asked to find the coordinates of the vertices of the new polygon after this translation.
00:37
So to find the polygons and the translations refer to the diagram in exercise 41 of this section.
00:47
But we see that we have originally our polygon is a triangle, and the translations, there's actually two of them.
00:59
First we move two units to the right, and then we move everything five units upwards.
01:10
So to find the coordinates of the vertices of the polygon after this translation, we'll simply find the action of each translation on the coordinates of the original vertices.
01:28
So the vertices were originally negative 1, negative 1, negative 2, negative 4, and 2, negative 3.
01:53
Our first translation tells us to shift 2 units to the right.
02:01
What this means is we're going to add 2 to the x components of each vertex.
02:15
So we have negative 1 plus 2, negative 1, negative 2 plus 2, negative 4, and 2 plus 2 negative 3...