Corresponding Angles and Sides Definition

Corresponding angles and sides are when two figures or pictures are related by a transformation.

The example of the first picture is said to correspond to their images on the transformed image.

Corresponding points, lines and angles

abcd and a'b'c'd' are similar shapes.

a and a' are corresponding points, b and b' are corresponding points, c and c' are corresponding points as is d and d'.

∠adc and ∠a'd'c' are corresponding angles, ∠abc and ∠a'b'c', ∠bcd and ∠b'c'd', ∠dab and ∠d'a'b' are all said to be corresponding angles.

When a transversal cuts a pair of lines, such as in the diagram, the pairs of angles, l and l', m and m', n and n' o and o' are called corresponding angles.

Corresponding points, lines and angles

If the pair of lines cut by the transversal are parallel, the corresponding angle are equal.

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