Consider parallelogram $$A B C D$$ with point $$X$$ at the intersection of diagonal segments $$A C$$ and $$B D$$. ![](http://admin.getprephub.com/media/editor/Screenshot%202023-05-16%20at%2012.39.30%20PM_20230516103944120784.png) Evelyn claims that $$A B C D$$ is a square. Select the statement that must be true for Evelyn's claim to be true.

Answer $$A B C D$$ will be a square, if $$A B=B C=C D=D A, A C=B D$$, $$m \angle A B C=m \angle B C D=m \angle C D A=m \angle A D B=90^{\circ}$$ Therefore, only the option $$A D=A B$$ is true

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Consider parallelogram $A B C D$ with point $X$ at the intersection of diagonal segments $A C$ and $B D$ .

Evelyn claims that $A B C D$ is a square. Select the statement that must be true for Evelyn’s claim to be true.

$A D=A B$

$A B=B D$

$A C=B X$

$m \angle A B C \neq 90^{\circ}$

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