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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.
Give the definition of similar triangle?
Similar triangles means they have the same lengths OR the corresponding lengths have equal ratios.
What is the ratio of corresponding side lengths are proportionsl?
The ratio of corresponding side lengths in similar figures is proportional, meaning that if two shapes are similar, the lengths of their corresponding sides will maintain a constant ratio. This ratio is consistent regardless of the size of the shapes, allowing for the comparison of their dimensions. For example, if one triangle has side lengths of 3, 4, and 5, and another similar triangle has side lengths of 6, 8, and 10, the ratio of corresponding sides is 1:2. This proportionality is fundamental in geometry for solving problems involving similar shapes.
How can you tell if two triangles are similar?
Their corresponding angles are equal, or the ratio of the lengths of their corresponding sides is the same.
Can corresponding sides be different lengths?
Yes, in the context of similar shapes.
The ratio of surface areas of two similar polyhedra is equal to the cube of the ratio between their corresponding edge lengths?
False
If two polyhedra are similar then the of the corresponding parts will be equal?
ratio
How are corresponding side lengths two similar figures related?
Corresponding sides of similar figures are proportional.
If two parallelograms are similar what do you know about the ratios of the two side lengths within one parallelograms and the ratios of the correspondingside lengths in the other parallelogram?
If and when two parallelograms are similar, you know that the ratio of two side lengths within one parallelogram will describe the relationship between the corresponding side lengths in a similar parallelogram. If and when two parallelograms are similar, you know that the ratio of corresponding side lengths in the other parallelogram will give you the scale factor that relates each side length in one parallelogram to the corresponding side length in a similar parallelogram.
What are the corresponding side lengths of a similar figure?
Proportional.
Give the definition of similar triangle?
Similar triangles means they have the same lengths OR the corresponding lengths have equal ratios.
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.
Do similar figures always have corresponding angles that are equil?
Yes, similar figures always have congruent corresponding angles and proportional corresponding side lengths.
How can you tell if two triangles are similar?
Their corresponding angles are equal, or the ratio of the lengths of their corresponding sides is the same.
Can corresponding sides be different lengths?
Yes, in the context of similar shapes.
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.
The ratio of surface areas of two similar solids is equal to the square of the ratio between their corresponding edge lengths.?
The statement is true.
