batgirl117
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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.

Only answer if you it! Help me please! The figure below shows three quadrilaterals on a coordinate grid: Which of the following statements is true about the thr class=

Verified Answer :

Student223025
BThey are both proportionate, but dont have the same dimensions as one another

Answer:

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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