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Question
11/14 - triangle congruence schoology assignment
possible points: 1.44
if ( abcdcong efgh ), are all corresponding parts congruent? explain.
yes. because ( abcdcong efgh ), there exists a sequence of rigid motions that maps ( abcd ) to ( efgh ). since rigid motion side lengths, corresponding sides are. since they measures, the corresponding angles are.
Step1: Understand rigid motion property
Rigid motions (like translation, rotation, reflection) preserve side lengths. So, if \(ABCD\cong EFGH\) (due to rigid - motion mapping), corresponding sides are congruent.
Step2: Understand angle - preservation in rigid motion
Rigid motions also preserve angle measures. So, corresponding angles are congruent.
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Corresponding sides are congruent. Corresponding angles are congruent.