Question

11/14 - triangle congruence schoology assignment
if ( a b c d cong e f g h ), are all
corresponding parts congruent?
explain.
because ( a b c d cong e f g h ), there exists a sequence of rigid motions that maps ( a b c d ) to ( e f g h ). since rigid
side lengths, corresponding sides are
. since they
angle measures, the corresponding angles are

Explanation:

Step1: Recall the property of congruent polygons

Congruent polygons have the same shape and size. Rigid motions (translations, rotations, reflections) preserve side lengths and angle measures.

Step2: Analyze corresponding sides

Since \(ABCD\cong EFGH\) and rigid motions preserve side lengths, corresponding sides are congruent.

Step3: Analyze corresponding angles

Since \(ABCD\cong EFGH\) and rigid motions preserve angle measures, corresponding angles are congruent.

Answer:

Yes. Because \(ABCD\cong EFGH\), there exists a sequence of rigid motions that maps \(ABCD\) to \(EFGH\). Since rigid motions preserve side lengths, corresponding sides are congruent. Since they preserve angle measures, the corresponding angles are congruent.