Question

The coordinates of the vertices of AABC are A(3, 1), B(6, 4) and C(6, 1)

The coordinates of the vertices of A ABC' are A'(-1, -3) B(-4, -6). and C"(-1. – 6)

Answer 1

To calculate the distances between the vertices of the triangles, use the distance formula with the given coordinates.

Step-by-step explanation:

The coordinates of the vertices of triangle ABC are A(3, 1), B(6, 4), and C(6, 1).

The coordinates of the vertices of triangle ABC' are A'(-1, -3), B(-4, -6), and C'(-1, -6).

To calculate the distance between two points, we can use the distance formula:

d = sqrt((x2 - x1)^2 + (y2 - y1)^2)

For example, the distance between A and B is:

dAB = sqrt((6 - 3)^2 + (4 - 1)^2) = sqrt(9 + 9) = sqrt(18)

Similarly, the distances between the other vertices can be calculated.