Angles are congruent if they are equal. Corresponding angles in figures that are similar are congruent.
Congruent figures are identical in dimensions and angles whereas similar figures have dimensions in proportion to congruent figures but both have exactly the same angles.
Congruent figures are similar - in sides as well as angles. Corresonding angles of similar figures congruent but their sides are not. The sides are all in some fixed ratio. [If that ratio is 1, the figures are congruent.]
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.
Congruent figures are identical in dimensions and angles whereas similar figures have dimensions in proportion to congruent figures but both have exactly the same angles.
Angles are congruent if they are equal. Corresponding angles in figures that are similar are congruent.
Yes, similar figures always have congruent corresponding angles and proportional corresponding side lengths.
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The Definition of Congruent Figures (which is a proof) says that if two figures have corresponding sides congruent and corresponding angles congruent, then the figures are to be congruent.
Yes, similar figures always have congruent corresponding angles and proportional corresponding side lengths.
everything
Corresponding angles in similar figures should be the same, not supplementary.
Congruent figures are identical in dimensions and angles whereas similar figures have dimensions in proportion to congruent figures but both have exactly the same angles.
Congruent figures are similar - in sides as well as angles. Corresonding angles of similar figures congruent but their sides are not. The sides are all in some fixed ratio. [If that ratio is 1, the figures are congruent.]
Congruent figures are identical in dimensions and angles whereas similar figures have dimensions in proportion to congruent figures but both have exactly the same angles.
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.
you can assume that the angles are congruent, but not the sides.