Given rectangles lmno and pqrs, which statement explains a way to determine if the two figures are similar?
a. verify corresponding pairs of angles are proportional by translation.
b. verify corresponding pairs of sides are proportional by dilation.
c. verify corresponding pairs of angles are congruent by dilation.
d. verify corresponding pairs of sides are congruent by translation.

B

Step-by-step explanation:

Definition: Two rectangles are similar when they have corresponding sides proportional are proportional by dilation.

For example, rectangles with sides 3 cm, 4cm and 6 cm, 8 cm are similar, but rectangles with sides 3 cm, 4 cm and 6 cm, 10 cm are nor similar.

Since all angles in rectangle are always right angles, then options A and C are false (in terms of your question).

Option D is false too, because translation doesn't change the length, and in this case two rectangles are congruent.

Option B is true according to definition.

step-by-step explanation:

in the absence of parentheses, i will have to make some assumptions:   i interpret your (3x+5/y^6)(4y^3/5)​ to mean:

3x + 5     4y^(3/5)       (3x + 5)(4)

* =

    y^6             1               y^(6-3/5)

if this is not what you expected, repost your question using parentheses to indicate whether you meant

4y^3

    or   4y^(3/5)

    5