Question

1. triangle abc is congruent to triangle edf. so, kiran knows that there is a sequence of rigid transformations that take abc to edf. select all true statements after the transformations: a segment ab coincides (lines up) with segment ed. b. angle a coincides (lines up) with angle f. c. angle b coincides (lines up) with angle d. d. segment bc coincides (lines up) with segment ed. e segment ac coincides (lines up) with segment ef.

Explanation:

Step1: Recall congruent - triangle properties

When \(\triangle ABC\cong\triangle EDF\), corresponding parts are equal. The order of the letters in the congruence statement gives the corresponding parts. \(A\) corresponds to \(E\), \(B\) corresponds to \(D\), and \(C\) corresponds to \(F\).

Step2: Analyze segment - correspondences

For segments, \(AB\) corresponds to \(ED\), \(BC\) corresponds to \(DF\), and \(AC\) corresponds to \(EF\). So, segment \(AB\) coincides with segment \(ED\) and segment \(AC\) coincides with segment \(EF\).

Step3: Analyze angle - correspondences

For angles, \(\angle A\) corresponds to \(\angle E\), \(\angle B\) corresponds to \(\angle D\), and \(\angle C\) corresponds to \(\angle F\). So, angle \(B\) coincides with angle \(D\).

Answer:

A. Segment AB coincides (lines up) with segment ED.
C. Angle B coincides (lines up) with angle D.
E. Segment AC coincides (lines up) with segment EF.