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Corresponding Angles (Polygons)

Corresponding Angles (Polygons)

One-page printable reference

See It in Action

Two examples of the idea done right—and one common look-alike that is not right.

EXAMPLE

EXAMPLE

NON-EXAMPLE

Definition

Corresponding angles in polygons are angles that occupy the same relative position in two similar or congruent polygons.


For example, if two polygons are matched by a transformation (like a translation, rotation, reflection, or dilation), the angles that “line up” with each other are called corresponding angles.

Example

If you have two similar triangles: △ABC and △DEF

Two labeled right triangles, ABC and DEF. Angles A and D both have a right angle box. Angles B and E both are marked with two arcs. Angles C and F both are marked with three angle marks.

Then:

  • ∠A and ∠D are corresponding angles

  • ∠B and ∠E are corresponding angles

  • ∠C and ∠F are corresponding angles


In similar polygons and congruent polygons, corresponding angles are equal in measure.

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