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The length of DE is shown. What other length can you determine for this diagram?

A. DF=12
B. EF=6
C. DG=6
D. No other length can be determined.​

The length of DE is shown. What other length can you determine for this diagram? A-example-1

1 Answer

3 votes

Answer:

○ d. No other length can be determined.

Explanation:

In a parallelogram, opposite angles are congruent, diagonals form a linear pair, and it has two pairs of parallel sides. Therefore, according to the information we are given, no other length can be determined.

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* Answer choice a fails because of the Pythagorean Theorem. If we split the circumscribed right triangles, we can see that having a leg equal to a hypotenuse is impossible, therefore this is incorrect.

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