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Given ABC is congruent to CDA and AD is not congruent to DC, which geometric statement is true?

Given ABC is congruent to CDA and AD is not congruent to DC, which geometric statement-example-1
User Vhoyer
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We were told that triangle ABC is congruent to triangle CDA. If AD is not congruent to DC, then the figure is a parallelogram. In a parallelogram, opposite angles are congruent. The true geometric statement would be

angle ABC is congruent to angle CDA

User Kiranbkrishna
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