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What corresponding parts are congruent if ΔABC ≅ ΔDEF?

A. Angles
B. Sides
C. Vertices
D. Midpoints

User Gimmeamilk
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1 Answer

1 vote

Final answer:

Congruent triangles ΔABC and ΔDEF have all corresponding sides and angles congruent, matching up sides AB with DE, BC with EF, CA with FD, and angles A with D, B with E, C with F.

Step-by-step explanation:

When two triangles are congruent, like ΔABC ≅ ΔDEF, it means that there is a one-to-one correspondence between their parts, ensuring that all matching sides and angles are congruent. Therefore, side AB corresponds to DE, side BC to EF, and side CA to FD. Likewise, angle A corresponds to angle D, angle B to angle E, and angle C to angle F. Additionally, corresponding vertices are A to D, B to E, and C to F. Lastly, if there are any midpoints or other points of interest on the triangles that correspond due to congruence, those would be congruent as well. Parts such as midpoints, however, are not intrinsic to the definition of congruent triangles. Thus, the correct answer is both Angles and Sides.

User Haboutnnah
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