The true statements after the transformation, given that triangles ABC and EDF are congruent are: statements B, C, and E.
Remember what congruent triangles share in common:
- If two triangles are congruent, all three sides of one triangle will be congruent to all corresponding three sides in the other triangle.
- If two triangles are congruent, all three angles of one triangle will be congruent to all corresponding three angles in the other triangle.
Hence, if triangle ABC is congruent to triangle EDF, then Kiran will know that after the transformation:
- A will coincides with angle E
- B will coincides with angle D
- C will coincides with F.
Segment AC will coincides with EF, AB to ED, as well as BC to DF.
Therefore, the true statements after the transformation, given that triangles ABC and EDF are congruent are: statements B, C, and E.
Full Question:
Although part of your question is missing, you might be referring to this full question:
1. Triangle ABC is congruent to triangle EDF. So, Kiran knows that there is a sequence of rigid motions that takes ABC to EDF.
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Select all true statements after the transformations:
a. Angle A coincides with angle F.
b. Angle B coincides with angle D.
c. Segment AC coincides with segment EF.
d. Segment BC coincides with segment ED.
e. Segment AB coincides with segment ED.