Question

Triangle ABC has coordinates (2, ― 1), (4,3), and (1,5). write the vertices of triangle abc as a 2 x 3 coordinate matrix.

Answer 1

The vertices of triangle ABC are given as a 2 x 3 matrix, with the x-coordinates in the first row and the y-coordinates in the second row: [[2, 4, 1], [-1, 3, 5]].

Step-by-step explanation:

To represent the vertices of triangle ABC with coordinates (2, ‑1), (4,3), and (1,5) as a 2 x 3 coordinate matrix, we will list the x-coordinates as the first row and the y-coordinates as the second row of the matrix. Therefore, the vertices of triangle ABC as a coordinate matrix are:

[ 2 4 1 ]
[ ‑1 3 5 ]

This matrix format allows us to easily see the x and y coordinate of each vertex, and it is a common way to organize coordinate information in mathematics, especially when dealing with transformations and other operations in two-dimensional space.