The vertices of trangle ghi are g (2, 4), h (4, 8), and i (8, 4). the vertices of triangle jkl are j (1, 1), k (2, 3), and l (4, 1). which conclusion is true about the triangles?

a) they are congruent by the definition of congruence in terms of rigid motions.
b) they are similar by the definition of similarity in terms of a dilation.
c) the ratio of their corresponding sides is 1: 3
d) the ratio of their corresponding angles is 1: 3

B. They are similar by the definition of similarity in terms of a dilation.

Step-by-step explanation:

The vertices of triangle GHI are G (2, 4), H (4, 8), and I (8, 4).

The vertices of triangle JKL are J (1, 1), K (2, 3), and L (4, 1).

Plot these triangles oon the coordinate plane (see attached diagram). As you can see triangle GHI is an image of triangle JKL after the dilation with a center of dilation at point A(0,-2) and scale factor of 2.

The dilation is a transformation which makes similar shapes, so triangles are similar by the definition of similarity in terms of a dilation.

Note that option A is false, because triangles are not congruent. Option C is false, because the ratio between sides is 1 : 2. Option D is false because angles are the same.

the answer is true.

step-by-step explanation: