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(02.05)The figure shows three quadrilaterals on a coordinate grid:


A coordinate plane is shown. Quadrilateral D has sides measuring 3 units and 1 unit. Quadrilateral F has sides measuring 3 units and 1 unit. Quadrilateral E has sides measuring 2 units and 6 units.


Which of the following statements is true about the three quadrilaterals?

AD and E are similar but not congruent.
BE and F are similar and congruent.
CD and E are similar and congruent.
DF and D are similar but not congruent.

Verified Answer :

Answer:

A. D and E are similar but not congruent.

Step-by-step explanation:

The side lengths of D are 3 units and 1 unit.  The side lengths of E are 2 units and 6 units.  The sides are proportional, but are not congruent; this means that the quadrilaterals are similar but not congruent.  Choice A is true and choice C is false.

The side lengths of E are 2 units and 6 units.  The side lengths of F are 3 units and 1 unit.  The sides are proportional, but are not congruent; this means that the quadrilaterals are similar but not congruent.  Choice B is false.

The side lengths of D are 3 units and 1 unit.  The side lengths of F are 3 units and 1 unit.  The sides are congruent; this means that the quadrilaterals are congruent.  Choice D is false.

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