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Why do corresponding angles of similar figures have to be 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.
What is different about similar and congruent figures?
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.
How are similar and congruent figures the same?
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.]
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.
What is different about similar figure and congruent figures?
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.
How do you know angles are congruent?
Angles are congruent if they are equal. Corresponding angles in figures that are similar are congruent.
Do similar figures always have corresponding angles that are equil?
Yes, similar figures always have congruent corresponding angles and proportional corresponding side lengths.
Is if true or false similar figures contain congruent corresponding angles?
true
Definition of Congruent Figures?
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.
Do similar shapes always have to have corresponding sides that are proportional?
Yes, similar figures always have congruent corresponding angles and proportional corresponding side lengths.
Are Corresponding angles of congruent figures the same?
everything
Do similar figures have corresponding angles that are supplementary?
Corresponding angles in similar figures should be the same, not supplementary.
What is different about similar and congruent figures?
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.
How are similar and congruent figures the same?
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.]
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.
What is different about similar figure and congruent figures?
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.
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.
