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they both have the same ratios

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How do the ratios of side lenghts compare for triangles that are not similar?

There are no ratios that can be used for triangles that are not similar.


Give the definition of similar triangle?

Similar triangles means they have the same lengths OR the corresponding lengths have equal ratios.


Do the corresponding sides of similar triangles have proportional lengths?

Yes, the corresponding sides of similar triangles have proportional lengths. This means that the ratios of the lengths of corresponding sides are equal. For example, if two triangles are similar, the ratio of the lengths of one triangle's sides to the lengths of the other triangle's corresponding sides will be the same across all three pairs of sides. This property is fundamental in solving problems related to similar triangles.


How do you find the dimensions of a figure if you know the dimensions of a similar figure?

If two objects have the same shape, they are called "similar." When two figures are similar, the ratios of the lengths of their corresponding sides are equal. To determine if the triangles shown are similar, compare their corresponding sides.


Do corresponding sides of similar triangles have the same measure?

No, corresponding sides of similar triangles do not have the same measure; instead, they are proportional. This means that while the lengths of the corresponding sides differ, the ratios of their lengths remain constant. For example, if one triangle has sides of lengths 3, 4, and 5, and a similar triangle has sides of lengths 6, 8, and 10, the corresponding sides maintain the same ratio (2:1).

Related Questions

How do the ratios of side lenghts compare for triangles that are not similar?

There are no ratios that can be used for triangles that are not similar.


Why do similar triangles have the same trigonometric ratios?

Trigonometric ratios are characteristics of angles, not of lengths. And, by definition, the corresponding angles an similar triangles have the same measures.


Give the definition of similar triangle?

Similar triangles means they have the same lengths OR the corresponding lengths have equal ratios.


How do the ratios of side lengths compare for similar triangles?

The definition of "similar" geometric figures requires that the ratios of all equivalent sides, between the two figures, are the same. For example, one side of one triangle divided by the equivalent side of the other triangle might result in a ratio of 3.5 - in this case, if the triangles are similar, you will get the same ratio if you compare other equivalent sides.


Do the corresponding sides of similar triangles have proportional lengths?

Yes, the corresponding sides of similar triangles have proportional lengths. This means that the ratios of the lengths of corresponding sides are equal. For example, if two triangles are similar, the ratio of the lengths of one triangle's sides to the lengths of the other triangle's corresponding sides will be the same across all three pairs of sides. This property is fundamental in solving problems related to similar triangles.


How do you find the dimensions of a figure if you know the dimensions of a similar figure?

If two objects have the same shape, they are called "similar." When two figures are similar, the ratios of the lengths of their corresponding sides are equal. To determine if the triangles shown are similar, compare their corresponding sides.


Do corresponding sides of similar triangles have the same measure?

No, corresponding sides of similar triangles do not have the same measure; instead, they are proportional. This means that while the lengths of the corresponding sides differ, the ratios of their lengths remain constant. For example, if one triangle has sides of lengths 3, 4, and 5, and a similar triangle has sides of lengths 6, 8, and 10, the corresponding sides maintain the same ratio (2:1).


What is answers to 7-3 similar triangles?

In the context of similar triangles, if you have two triangles that are similar, the ratios of their corresponding sides are equal. For a specific calculation like "7 - 3," it seems there may be a misunderstanding, as this expression simplifies to 4, which does not directly relate to the properties of similar triangles. If you meant to ask about a specific problem involving similar triangles with side lengths or angles, please provide more details for a precise answer.


Are the ratios of all three pairs of corresponding sides of similar triangles equal?

Yes. When a shape is enlarged the scale factor gives the ratio between corresponding lengths of the enlargement and the original.


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.


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.


What is the word similar mean in math?

In math, the term "similar" typically refers to figures or shapes that have the same shape but may differ in size. Two geometric figures are considered similar if their corresponding angles are equal and the lengths of their corresponding sides are proportional. This concept is commonly applied in triangles, where similar triangles maintain the same angle measures, allowing for the application of ratios and scale factors.