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scale factor
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What is the ratio of the lengths of the corresponding sides of two similar polygons?
It can be any number that you like, but once chosen, it remains the same for each pair of corresponding sides.
How do you find the scale factor of dilation?
The scale factor is the ratio of any side of the image and the corresponding side of the original figure.
How is a scale factor related to scale drawings?
The scale factor of a scale drawing is the ratio of any length in the drawing to the true corresponding length in the "real" object.
Can you assume that corresponding sides and corresponding angles of any two similar triangles are congruent and why?
you can assume that the angles are congruent, but not the sides.
If 3 corresponding angles of two triangles are of equal measure are the side lengths of equal measure also?
Not necessarily. You have described "similar" triangles. If you also know that any of the lengths of sides are of equal measure in addition to three angles (congruent), then the lengths of all of the sides are of equal measure. But with what you have given, consider, for example, two equilateral triangles, both have all angles equal to 60 degrees (satisfying the condition in your question). One of the triangles could have sides length 1 and the other with sides all of length 2.
What is the ratio of any two corresponding lengths in two similar geometric figures?
scale factor
What is the ratio of the lengths of the corresponding sides of two similar polygons?
It can be any number that you like, but once chosen, it remains the same for each pair of corresponding sides.
Which side lengths form a triangle that is similar to triangle ABC?
Any triangle whose sides are in the same ratio with the corresponding sides of ABC.
Will the lengths of two corresponding altitudes of similar triangles will have the same ratio as any pair of corresponding sides?
It is given that two triangles are similar. So that the ratio of their corresponding sides are equal. If you draw altitudes from the same vertex to both triangles, then they would divide the original triangles into two triangles which are similar to the originals and to each other. So the altitudes, as sides of the similar triangles, will have the same ratio as any pair of corresponding sides of the original triangles.
What is the ratio for the volumes of two similar pyramids given that the ratio of their edge lengths is 5 to 7?
The ratio is 57 cubed. This answer does not depend on the fact that you are comparing two similar pyramids; it works the same for two cubes, two spheres, etc. - in general, for any two similar 3D objects.
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 to find the ratio of successive hypotenuse lengths?
Hypotenuses can cave any real vale and, since real numbers are infinitely dense, the ratio of "successive" lengths is as close to 1 as you can get.
How do you find the similarity ratios of two similar prisms?
Measure any two corresponding edges. The ratio of these edges is the similarity ratio.
If two similar kites have perimeters of 21 and 28 what is the ratio of the measure of two corresponding sides?
The perimeters of two similar polygons have the same ratio as the measure of any pair of corresponding sides. So the ratio of the measure of two corresponding sides of two similar kites with perimeter 21 and 28 respectively, is 21/28 equivalent to 3/4.
How can you find the ratio of a scale?
Divide any length of any part of one of the objects to the length of the corresponding part of the other object.
What is the ratio of the length of diagonals of a rhombus?
They are the same length, so 1:1 * * * * * In fact that is the one ratio they cannot be. A rhombus with equal diagonals is a square. The ratio of the lengths can have any other positive value.
How do you find the scale factor of dilation?
The scale factor is the ratio of any side of the image and the corresponding side of the original figure.
