51.0k views
5 votes
If △STU is similar to △XYZ, the sides of △STU must be congruent to thecorresponding sides of △XYZ.A. TrueB. False

User Xcramps
by
8.0k points

1 Answer

2 votes

Similar triangles are triangles that have the same interior angles and the corresponding sides are proportional, that is, for triangles STU and XYZ we have the proportion:


(ST)/(XY)=(TU)/(YZ)=(SU)/(XZ)

The corresponding sides are congruent only if the proportion rate is 1, but that is not always true and it's not necessary.

Therefore the correct option is B: False

If the corresponding sides are congruent, the triangles are congruent.

User Dre
by
7.8k points