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Earn +20 ptsQ: Are two quadrilaterals similar if their corresponding angles are congruent?
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How do you know angles are congruent?
Angles are congruent if they are equal. Corresponding angles in figures that are similar are congruent.
Can two shapes be congruent and not similar?
In short, no. Similar shapes are shapes in which all corresponding angles congruent regardless of the length of the sides. Congruent shapes have congruent corresponding angles and corresponding sides. In effect congruent shapes is a special condition of similar shapes.
Are corresponding angles of similar figure always congruent?
Yes, they are.
If the corresponding side lengths of two triangles are congruent the corresponding angles are also congruent.?
False. The statement should be: If the corresponding side lengths of two triangles are congruent, and the triangles are similar, then the corresponding angles are also congruent.
What are the corresponding sides called in similar triangles whose corresponding angles are congruent?
Proportional.
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