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Why are congruent figures also similar?
They are similar, with a scale factor of 1.
What transformation will produce a figure that is similar but not congruent?
A transformation that produces a figure that is similar but not congruent is a dilation. Dilation involves resizing a figure by a scale factor, which increases or decreases the size while maintaining the same shape and proportional relationships of the sides and angles. As a result, the new figure will have the same shape as the original but will differ in size, making them similar but not congruent.
Can congruent figures also be similar?
They must be similar, with scale factor = 1.
When 2 shapes are similar and have a scale factor of 1 what are they called?
They are congruent.
Similar figures have what three things in common?
They have congruent angles, they are multiplied by a scale factor, and they are the same shape
Why are congruent figures also similar?
They are similar, with a scale factor of 1.
What transformation will produce a figure that is similar but not congruent?
A transformation that produces a figure that is similar but not congruent is a dilation. Dilation involves resizing a figure by a scale factor, which increases or decreases the size while maintaining the same shape and proportional relationships of the sides and angles. As a result, the new figure will have the same shape as the original but will differ in size, making them similar but not congruent.
Can congruent figures also be similar?
They must be similar, with scale factor = 1.
When 2 shapes are similar and have a scale factor of 1 what are they called?
They are congruent.
What is the multiplier used on each dimension to change one figure into a similar figure?
scale factor!
Multiplying the coordinates of all points of a figure in the coordinate plane by a scale factor to get a similar figure is called?
Scale factor
Similar figures have what three things in common?
They have congruent angles, they are multiplied by a scale factor, and they are the same shape
What does the scale factor tell you two similar shapes?
The scale factor is the number that the side lengths of one figure can be multiplied by to give the corresponding side lengths of the other figure.
What does the scale factor tell you about two similar shapes?
The scale factor is the number that the side lengths of one figure can be multiplied by to give the corresponding side lengths of the other figure.
When are two similar figures also congruent?
If the scale factor is 1. That is, if a pair of corresponding sides are the same length.
How does a dilation of a figure with a scale factor 0.5 compare to a dilation of the figure worth a scale factor 2?
A dilation with a scale factor of 0.5 reduces the size of the figure to half its original dimensions, resulting in a smaller figure. In contrast, a dilation with a scale factor of 2 enlarges the figure to twice its original dimensions, creating a larger figure. Therefore, the two dilations produce figures that are similar in shape but differ significantly in size, with the scale factor of 2 yielding a figure that is four times the area of the figure dilated by 0.5.
What is the name for the ratio of the length of one side of a figure to the length of the corresponding side of a similar figure?
scale factor
