Construction of congruent line segments, angles, and polygons helps students understand congruency.
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The traditional notation for marking congruent angles is to use a curve on each angle. Denote which angles are congruent with the same number of curved lines.
The symbol ~ is used to represent similarity.
How do polygons that are similar compare to polygons that are congruent? Congruent polygons have the same size and shape. Similar polygons have the same shape, and corresponding angles between the similar figures are congruent. However, the lengths of the corresponding sides are proportional. All congruent polygons are considered similar with the ratio of the corresponding sides being 1:1.
Identify corresponding sides and corresponding and congruent angles of similar figures using the traditional notation of curved lines for the angles.
Determine if quadrilaterals or triangles are similar by examining congruence of corresponding angles and proportionality of corresponding sides.