If a with vertices at A(-2, 1), B(2, 4), and C(4, 2) is translated for (h, k ) = (2, 3), what will be the new vertices of A', B', and C'?B'Answer 1 Question 11C'Answer 2 Question 11A'Answer 3 Question 11
Question
If a with vertices at A(-2, 1), B(2, 4), and C(4, 2) is translated for (h, k ) = (2, 3), what will be the new vertices of A', B', and C'?B'Answer 1 Question 11C'Answer 2 Question 11A'Answer 3 Question 11
Solution
A translation in a plane is a uniform movement in which every point in the plane shifts the same distance in the same direction. It's represented by the vector (h, k), where h is the horizontal shift and k is the vertical shift.
Given the vertices of a triangle A(-2, 1), B(2, 4), and C(4, 2) and a translation vector (h, k ) = (2, 3), we can find the new vertices A', B', and C' by adding the translation vector to the original coordinates.
For A'(-2+2, 1+3) = (0, 4) For B'(2+2, 4+3) = (4, 7) For C'(4+2, 2+3) = (6, 5)
So, the new vertices of the triangle after translation are A'(0, 4), B'(4, 7), and C'(6, 5).
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