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The figure shows three quadrilaterals on a coordinate grid:


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

M and O are similar and congruent.
O and N are similar and congruent.
M and N are similar but not congruent.
M and O are similar but not congruent.

The figure shows three quadrilaterals on a coordinate grid Which of the following statements is true about the three quadrilaterals M and O are similar and cong class=

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Answer:

D. M and O are similar but not congruent.

Step-by-step explanation:

To begin, let's eliminate some options.

It can't be A. M and O are similar and congruent because M and O aren't congruent because they are different sizes. It cannot be B. O and N are similar and congruent because they aren't congruent since they're different sizes. Lastly, it cannot be C. M and N are similar but not congruent, because these two are actually congruent.

Therefore, the correct answer is D. M and O are similar but not congruent.

Answer:

Option D.

Step-by-step explanation:

From the given figure it is clear that the three quadrilaterals on a coordinate grid are squares because all sides of each quadrilaterals are same and all interior angles are right angles.

Side length of square M = 2 units

Side length of square N = 2 units

Side length of square O = 4 units

The corresponding sides of congruent figures are congruent. So,

Square M ≅ Square N

The corresponding sides of similar figures are proportional. So,

Square M [tex]\sim[/tex] Square N

Square M [tex]\sim[/tex] Square O

Square N [tex]\sim[/tex] Square O

M and O are similar but not congruent.

Therefore, the correct option is D.

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