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How are corresponding side lengths two similar figures related?

Corresponding sides of similar figures are proportional.


What are geometric figures if they have equal corresponding angles and proportional corresponding sides?

They are similar.


Do similar figures always have corresponding angles that are equil?

Yes, similar figures always have congruent corresponding angles and proportional corresponding side lengths.


Are ratio lengths of corresponding sides of similar figures equal?

Yes, the ratio of the lengths of corresponding sides of similar figures is equal. This property holds true regardless of the size of the figures, meaning that if two figures are similar, the ratios of their corresponding side lengths will always be the same. This consistent ratio is called the scale factor, which can be used to compare the sizes of the figures.


How can you tell if two figures are similar?

Two figures are similar if: - The measures of their corresponding angles are equal. - The ratios of the lengths of the corresponding sides are proportional.


What is the definition of a scale factor?

The ratio of any two corresponding similar geometric figures lengths in two . Note: The ratio of areas of two similar figures is the square of the scale factor. The ratio of volumes of two similar figures is the cube of the scale factor. .... (: hope it helped (: .....


How do you know if a figure is similar to another one?

Two figures are similar if they have the same shape but not necessarily the same size, which means their corresponding angles are equal, and the lengths of their corresponding sides are proportional. To determine similarity, you can compare the angles of both figures; if all corresponding angles are equal, the figures are similar. Additionally, you can check the ratios of the lengths of corresponding sides; if these ratios are consistent, the figures are also similar.


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.


For two-dimensional polygonal figures to be similar their side lengths must be?

Corresponding


What is a ratio of corresponding side lengths are proportional?

A ratio of corresponding side lengths being proportional means that the lengths of sides from two similar geometric figures have a consistent relationship. For instance, if two triangles are similar, the ratio of the lengths of their corresponding sides is the same across all three pairs of sides. This proportionality allows for the use of scale factors in calculations involving the figures, such as area and perimeter. Thus, if one triangle has sides of length 3, 4, and 5, and the similar triangle has sides of length 6, 8, and 10, the ratio of corresponding sides is 1:2.


How can you determine mathematically if two figures are similar?

If the two figures are the same shape. Also if the ratios of the lengths of the corresponding sides are equal.


What information does the scale factor give us about two similar figures?

The ratio of the lengths of their corresponding sides.