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the figure below shows three quadrilaterals on a coordinate grid: which of the following statements is true about the three quadrilaterals?
e and f are similar but not congruent.
e and g are similar but not congruent.
g and f are similar and also congruent.
e and g are similar and also congruent.

Option B) E and G are similar but not congruent    

Step-by-step explanation:

We are given the following information n the question:

Quadrilateral E, F and G.

Quadrilateral E and F have same measure of sides where as they have different position.

Quadrilateral G have the measure of sides proportionate to E and F. The sides are not equal to E and F.

Similarity in quadrilaterals: Any two quadrilateral are similar if their corresponding angles are congruent and the measures of their corresponding sides are proportional

Congruency in Quadrilateral: Any two quadrilateral are congruent if their corresponding angles are congruent and the measures of their corresponding sides are congruent.

Thus, E and F are congruent to each other since their  corresponding angles are congruent and corresponding sides are equal.

G is similar to E and F as their corresponding g angles are congruent and corresponding sides are in proportion.

Thus, the correct answer is

Option B) E and G are similar but not congruent

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step-by-step explanation:

a. is correct