Corresponding parts Chapter 5 (p. 232)
A pair of sides or angles that have the same relative position in two congruent figures
In geometry, corresponding parts refer to the matching parts of congruent shapes or figures. When two figures are congruent, their respective parts, which have the same shape and size, are said to be corresponding.
For example, if we have two triangles, ΔABC and ΔPQR, and we know that ΔABC ≅ ΔPQR, then we can say that side AB corresponds to side PQ, side AC corresponds to side PR, and side BC corresponds to side QR. Similarly, angle A corresponds to angle P, angle B corresponds to angle Q, and angle C corresponds to angle R.
It’s important to note that corresponding parts refer only to objects that have the same size and shape. In other words, they can only be applied to congruent figures or shapes, and not to similar figures or shapes that are only proportional.
In summary, understanding corresponding parts is essential when working with congruent figures, and allows us to identify which sides and angles correspond to each other in order to solve problems involving these shapes.
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