Question

Which of these statements is true about the two trapezoids graphed below? ​ ​

A They are similar, because one can be obtained by translating the other 7 units to the right and 6 units down.
B They are similar, because one can be obtained by translating the other 6 units to the right and 7 units down.
C They are not similar, because one can be obtained by translating the other 7 units to the right and 6 units down.
D They are not similar, because one can be obtained by translating the other 6 units to the right and 7 units down.

Answer 1

They are not similar, because one can be obtained by translating the other 7 units to the right and 6 units down (D).

Step-by-step explanation:

Two figures are similar if they have the same shape, but not necessarily the same size. In this case, if one trapezoid can be obtained by translating the other, they are similar. To check this, we need to compare the translations mentioned in the answer choices.

The correct option is D, as it states that one trapezoid can be obtained by translating the other 6 units to the right and 7 units down. If this translation can be applied to one trapezoid to perfectly overlay it onto the other, they are similar.

Therefore, the trapezoids are not similar according to option D, which is the correct answer.