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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.
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Are congruent figure similar?
Yes, congruent figures have to be similar
How do you compare and contrast congruent and similar?
Similar means they are of the same shape but not necessary the same size. two figure are congruents when they are of the same shape and size. congruent figures can be similar but not similar figures aren't always congruent
The transitive property holds for similar figures?
The transitive property states that if A is equal to B, and B is equal to C, then A is equal to C. In the context of similar figures, this property holds true. If two figures are similar, and one figure is congruent to a third figure, then the second figure is also congruent to the third figure.
How can you tell that the figures are congruent?
In order for a figure to be congruent, it has to be the same shape and size.
Is a figure always congruent to its reflection?
Yes, due to the definition of congruent figures.
Are congruent figure similar?
Yes, congruent figures have to be similar
What is alike and different about similar and congruent figures?
If two figures are similar or congruent, each angle of the first figure is the same as the corresponding angle of the second figure.In similar figures, the ratio of each side in the first figure to the corresponding side in the second figure is a constant. If the figures are congruent, that ratio is 1: that is, the corresponding sides are of the same measure.
How do you compare and contrast congruent and similar?
Similar means they are of the same shape but not necessary the same size. two figure are congruents when they are of the same shape and size. congruent figures can be similar but not similar figures aren't always congruent
The transitive property holds for similar figures?
The transitive property states that if A is equal to B, and B is equal to C, then A is equal to C. In the context of similar figures, this property holds true. If two figures are similar, and one figure is congruent to a third figure, then the second figure is also congruent to the third figure.
Why are two figures similar if their angles are the same?
because if you shrink or grow a similar figure, it would be congruent.
What is the difference between congruent and similar figures?
Congruent figures have exactly the same shape; you could superimpose one on the other and see only one figure. Similar figures have some points of similarity but do not have to be exactly the same.
Why do dilations produce similar figures but not congruent figures?
Because congruent figures just rotate or reflect making the shape the same size same everything, but when you dilate you shrink it or enlrge it making a similar figure but not a congruent figure. but translations, reflections, rotations, and dilations common thing is that when you move it or shrink it your shape still has the same angles.
What is the difference between a similar figure and a congruent figure?
A similar figure has the same interior angles as a congruent figure but its sides are in proportion to a congruent figure.
Which transformation does not always result in an image that is congruent to the original figure?
A dilation (or scaling) is a transformation that does not always result in an image that is congruent to the original figure. While translations, rotations, and reflections always produce congruent figures, dilations change the size of the figure, which means the image may be similar to, but not congruent with, the original figure.
How can you tell that the figures are congruent?
In order for a figure to be congruent, it has to be the same shape and size.
Is a figure always congruent to its reflection?
Yes, due to the definition of congruent figures.
Are corresponding angles of similar figure always congruent?
Yes, they are.
