If a triangle with vertices (4,3), (8,,3) and 7,5 is translated to the right 4 units and down 2 units, what are the vertices of tje translated figure
The new coordinates of each vertex can be found by subtracting 4 from the x-coordinate and subtracting 2 from the y-coordinate:
(4,3) → (8,1)
(8,3) → (12,1)
(7,5) → (11,3)
Therefore, the vertices of the translated triangle are (8,1), (12,1), and (11,3).
If a triangle with vertices (4, 3), (8, 3), and (7, 5) is translated to the right 4 units and down 2 units, what are the vertices of the translated figure?(1 point)
hey
To find the vertices of the translated triangle, you need to apply the given translations to each vertex.
Given triangle vertices:
A (4, 3)
B (8, 3)
C (7, 5)
Translation:
Right 4 units
Down 2 units
To translate a point to the right, you add the given distance to the x-coordinate, and to translate it down, you subtract the given distance from the y-coordinate.
Applying the translation to each vertex:
Vertex A:
New x-coordinate: 4 + 4 = 8
New y-coordinate: 3 - 2 = 1
So, the translated vertex A is (8, 1).
Vertex B:
New x-coordinate: 8 + 4 = 12
New y-coordinate: 3 - 2 = 1
So, the translated vertex B is (12, 1).
Vertex C:
New x-coordinate: 7 + 4 = 11
New y-coordinate: 5 - 2 = 3
So, the translated vertex C is (11, 3).
Therefore, the vertices of the translated triangle are:
A' (8, 1)
B' (12, 1)
C' (11, 3)
To translate a figure, you need to move each of its vertices according to the given instructions. In this case, you are asked to translate the triangle 4 units to the right and 2 units down.
Let's consider each vertex of the triangle and apply the translation:
1. Vertex (4, 3):
To translate it 4 units to the right, add 4 to the x-coordinate: (4 + 4, 3).
To translate it 2 units down, subtract 2 from the y-coordinate: (8, 3 - 2).
2. Vertex (8, 3):
To translate it 4 units to the right, add 4 to the x-coordinate: (8 + 4, 3).
To translate it 2 units down, subtract 2 from the y-coordinate: (12, 3 - 2).
3. Vertex (7, 5):
To translate it 4 units to the right, add 4 to the x-coordinate: (7 + 4, 5).
To translate it 2 units down, subtract 2 from the y-coordinate: (11, 5 - 2).
Therefore, the vertices of the translated figure are:
(8, 1), (12, 1), and (11, 3).