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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.
Are the corresponding angles of similar quadrilaterals are congruent?
Yes they will have the same angles but with proportional different lengths
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.
Can you assume that corresponding sides and corresponding angles of any two similar triangles are congruent and why?
you can assume that the angles are congruent, but not the sides.
Are polygons whose vertices can be paired so that corresponding angles are congruent and corresponding sides are proportional?
The fact that corresponding angles are congruent does not require corresponding sides to be proportional - except in the case of a triangle. For quadrilaterals, think of a square and rectangle.
Are corresponding angles of similar figure always congruent?
Yes, they are.
Are two triangles with corresponding congruent angles congruent?
No, they are similar. They may be congruent, but they need not be.
Are corresponding angles of similar triangles congruent?
Yes.
Are the corresponding angles of similar polygons congruent?
yes.
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.
Two polygons are similar if the corresponding angles are congruent and the corresponding sides are?
Proportional.
Do similar figures always have corresponding angles that are equil?
Yes, similar figures always have congruent corresponding angles and proportional corresponding side lengths.
