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How are corresponding sides length of two similar figures related?
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In geometry what does similar mean?
In geometry, similar refers to two figures that have the same shape but may differ in size. Specifically, similar figures have corresponding angles that are equal and corresponding sides that are proportional in length.
What are similar solids?
similar shapes have corresponding angles that are equal. Also, any length in one shape is equal to the scale factor times the corresponding length in the other shape.
Similar triangles are triangles whose corresponding angles are congruent and whose corresponding sides are in length?
proportional
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
What is the relationship between corresponding sides in similar triangles?
Corresponding sides are congruent with one another, meaning they have the same length/measurement
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.
In geometry what does similar mean?
In geometry, similar refers to two figures that have the same shape but may differ in size. Specifically, similar figures have corresponding angles that are equal and corresponding sides that are proportional in length.
What is Corresponding sides of congruent figures are?
Of the same length.
Two similar figures have sides in the ratio of 2 3 If a side of the smaller triangle has a length of 7 what is the length of the corresponding side of the other triangle?
10 1/2
How do you construct a similar figure?
The two defining requirements of similar figures is that the corresponding angles are all equal and that the ratio of corresponding sides is a constant.So if you know the ratio, R, then draw a line parallel to a line of the first figure whose length is R*(length of line in first figure). At its end, draw an angle congruent to the corresponding angle in the first figure. Draw the other arm of the angle so that its length is R*(length of the corresponding line in the first figure). Continue until you return to the starting point.
What are similar solids?
similar shapes have corresponding angles that are equal. Also, any length in one shape is equal to the scale factor times the corresponding length in the other shape.
If to polygons are similar how can you find the scale factor?
You divide a length of one polygon by the corresponding length in the other polygon. Any length will do, as long as you use the corresponding length in both.
Similar triangles are triangles whose corresponding are congruent and whose corresponding sides are proportional in length?
angles
Similar triangles are triangles whose corresponding angles are congruent and whose corresponding sides are in length?
proportional
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
What is the relationship between corresponding sides in similar triangles?
Corresponding sides are congruent with one another, meaning they have the same length/measurement
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.
