Answer:
The two triangles would be similar.
Step-by-step explanation:
Since, when each coordinate of the vertices of a triangle is multiplied by a number k,
Then the triangle is dilated by the factor k,
i.e, the resultant triangle is similar to the triangle.
1. Given vertices of the triangle,
(0, 0), (1, 3) and (2, 1)
By multiplying each coordinate of the vertices by 3,
We obtain the triangle having vertices,
(0, 0), (3, 9), (6, 3)
draw the points in coordinates plan and join them by straight line,
We observed that triangles are similar.
2. Given vertices of the triangle,
(-3, -2), (-1, 4) and (2, - 2)
By multiplying each coordinate of the vertices by 3,
We obtain the triangle having vertices,
(-9, -6), (-3, 12) and (6, - 6)
Draw the points in coordinates plan and join them by straight line,
We observed that triangles are similar.
