Respuesta :
The coordinates of the vertices of a quadrilateral RFGH E (1, 2), F (1, -1),
G (-2,-2), and H (-2, 2) after being translated 5 units to the right and then 5 units down to create quadrilateral E'F'G'H', now are E' (6, 7), F' (6, 4), G' (3, 3) and H' (3, 7).
To solve this question, we will need to have basic idea about coordinate geometry quadrants, i.e.,
If a point is translated 5 units to the right, its distance from the y-axis will increase by 5 but its distance from the x-axis will remain the same.
And If a point is translated 5 units downwards, its distance from the y-axis will remain same but its distance from the x-axis decrease by 5.
Using the above fundaments, we will individually find out the new positions of all the four vertice points of the quadrilateral.
E (1, 2) after being translated 5 units to the right will become [(1+5), 2] or (6,2) and further being translated 5 units downwards will become
[6, (2+5)] or, (6, 7). Therefore, E' will be (6, 7).
F (1, -1) after being translated 5 units to the right will become [(1+5), -1] or (6,-1) and further being translated 5 units downwards will become
[6, (-1+5)] or, (6, 4). Therefore, F' will be (6, 4).
G (-2, -2) after being translated 5 units to the right will become [(-2+5), -2] or (3, -2) and further being translated 5 units downwards will become
[3, (-2+5)] or, (3, 3). Therefore, G' will be (3, 3).
H (-2, 2) after being translated 5 units to the right will become [(-2+5), 2] or (3, 2) and further being translated 5 units downwards will become
[3, (2+5)] or, (3, 7). Therefore, H' will be (3, 7).
Hence, The coordinates of the vertices of a quadrilateral RFGH E (1, 2), F (1, -1), G (-2,-2), and H (-2, 2) after being translated 5 units to the right and then 5 units down to create quadrilateral E'F'G'H', now are E' (6, 7), F' (6, 4), G' (3, 3) and H' (3, 7).
- Quadrilateral: In mathematics, more specifically in geometry, a quadrilateral is a closed figure having four edges and four corners (4 sided Polygon).
- Coordinate Geometry: In mathematics, more specifically in geometry, a coordinate system is a system that uses one or more numbers, or coordinates, to uniquely determine the position of the points or other geometric elements on a manifold such as Euclidean space.
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