if a triangle with vertices ( 4, 3 ) ( 8, 3 ) and ( 7, 5 ) it's translated to the right four units and down two units. What are the vertices of the translated figure?
To translate a figure, you need to add the same value to the x-coordinates and y-coordinates of all its vertices.
In this case, the original triangle has vertices (4, 3), (8, 3), and (7, 5).
To translate the triangle to the right four units, we add 4 to the x-coordinates:
(4 + 4, 3) = (8, 3)
(8 + 4, 3) = (12, 3)
(7 + 4, 5) = (11, 5)
To translate the triangle down two units, we subtract 2 from the y-coordinates:
(8, 3 - 2) = (8, 1)
(12, 3 - 2) = (12, 1)
(11, 5 - 2) = (11, 3)
Therefore, the vertices of the translated triangle are (8, 1), (12, 1), and (11, 3).
To translate a figure, you add or subtract the same value to each coordinate. In this case, we are translating the triangle to the right four units and down two units.
Let's go through each vertex and perform the translation:
1. Vertex A (4, 3):
To translate right four units, we add 4 to the x-coordinate: 4 + 4 = 8
To translate down two units, we subtract 2 from the y-coordinate: 3 - 2 = 1
So the new coordinates for Vertex A are (8, 1).
2. Vertex B (8, 3):
To translate right four units, we add 4 to the x-coordinate: 8 + 4 = 12
To translate down two units, we subtract 2 from the y-coordinate: 3 - 2 = 1
So the new coordinates for Vertex B are (12, 1).
3. Vertex C (7, 5):
To translate right four units, we add 4 to the x-coordinate: 7 + 4 = 11
To translate down two units, we subtract 2 from the y-coordinate: 5 - 2 = 3
So the new coordinates for Vertex C are (11, 3).
Therefore, the vertices of the translated figure are:
Vertex A: (8, 1)
Vertex B: (12, 1)
Vertex C: (11, 3)