the vertices of δghi are g (2, 4), h (4, 8), and i (8, 4). the vertices of δjkl 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:

when you graph them, it's easier to visualize what's going on. you can use distance formula to determine a ratio. line gh and line jk are similar. the same goes for each of the corresponding side lengths. when all the side lengths are the similar, you can conclude that all of the angles must also be the same. a triangle that is 3 in x 3 in x 3 in has the same angle measures as a triangle that is 3 ft x 3 ft x 3 ft, even though the side lengths have changed size. they are still proportionate.

when the ratios of both corresponding sides and corresponding angles are the same, the triangles are similar.

-2x + 7 = 7

subtract 7 from both sides.

-2x = 0

divide both sides by -2.

x = 0