Question/Subject:
This term has but one definition
(but there are several common usages and applications):
Definition:
Corresponding parts of similar or congruent figures are those
parts which are similarly placed; they are parts which would
coincide, if the figures were made (or forced) to coincide.
Application: In congruent triangles,
corresponding angles are those which lie opposite equal sides;
corresponding sides are those which lie opposite equal angles.
WARNING:
Using that "forced" idea, in non-congruent triangles,
(Example: Two right triangles which have different interior angles)
"Corresponding" is sometimes used more loosely; but any such
usage MUST be indicated by italics, or by placing it in quotes
(as was done here) to differentiate such usage from normal
usage, which normally also infers EQUALITY.
Among the angles of a transversal
(a straight line that intersects two or more other straight lines),
corresponding angles are non-adjacent exterior-interior angles
on ONE side of the transversal.
[Notice that with this usage, the term need NOT infer equality!]
In the case of two PARALLEL lines, intersected by a transversal,
always refer to these angles as 'Corresponding angles of parallel lines'.
[In this case, the term infers EQUALITY!]
Well, that is about all you should ever need to know about this term!
Warm regards,
"IQ"
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