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When two geometrical figures are congruent, it means that they are the same in every respect; all the corresponding line segments have the same lengths, they are put together into the same shape, the corresponding angles are the same, and every measurement (area, circumference, etc.) will be the same. The only difference is that they are not in the same location (if they were in exactly the same location they would be superimposed on each other and they therefore would be just one geometric figure, not two).
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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.
What are the properties of a square that are not properties of a rhombus?
A square has 4 congruent sides and 4 congruent angles
What are figures with the same size and shape?
congruent
What is the difference between similar and congruent?
Congruent means two figures have exactly the same shape and size. If the shape is identical, but not the size , two figures are similar.
Figures that have exact same size and shape?
congruent
How are similar figures different from congruent figures?
They have the same properties but are smaller in size.
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.
Can congruent figures be similar and can similar figures be congruent?
Congruent figures are always similar. However, similar figures are only sometimes congruent.
What the heck are congruent figures?
Congruent figures are figures that have the same size and shape.
Can congruent figures be similar figures?
All congruent figures are similar figures, and have identical sizes.
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.
What does congruent figures have?
Congruent Figures has equal sides, angles, shape and size.
Is congruent figures are always similar?
Are congruent figures always similar? Yes.
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 figures have congruent angles but not be congruent figures?
The lengths of the sides need not be congruent. For example, consider a square and a rectangle.
Why are squares similar but not congruent?
They may be of different sizes. Congruent figures have the same size.They may be of different sizes. Congruent figures have the same size.They may be of different sizes. Congruent figures have the same size.They may be of different sizes. Congruent figures have the same size.
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.
