Question

triangle abc is congruent to triangle edf. so, mai knows that there is a sequence of rigid motions that takes abc to edf. select all true statements after the transformations: (hint: there are 2!) segment ab coincides with segment ef. segment ac coincides with segment ed. angle b coincides with angle f. angle a coincides with angle e. segment bc coincides with segment df.

Explanation:

Step1: Recall congruence property

When \(\triangle ABC\cong\triangle EDF\), corresponding parts are congruent. The order of the letters in the congruence statement gives the correct correspondences.

Step2: Determine corresponding sides and angles

For \(\triangle ABC\cong\triangle EDF\), \(A\) corresponds to \(E\), \(B\) corresponds to \(D\), \(C\) corresponds to \(F\). So, \(AB\) corresponds to \(ED\), \(AC\) corresponds to \(EF\), \(BC\) corresponds to \(DF\), \(\angle A\) corresponds to \(\angle E\), \(\angle B\) corresponds to \(\angle D\), \(\angle C\) corresponds to \(\angle F\).

Answer:

• Angle \(A\) coincides with angle \(E\).
• Segment \(BC\) coincides with segment \(DF\).