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scale factor

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Q: 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?
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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.


How do you find the ratio of the lengths of the corresponding sides of a figure?

Measure the length of a side in the first figure = L1. Measure the length of the corresponding side in the second figure = L2. Then, provided L1 and L2 are in the same units, the relevant ratio is L1/L2.


What is alike and different about similar and congruent figures?

If two figures are similar or congruent, each angle of the first figure is the same as the corresponding angle of the second figure.In similar figures, the ratio of each side in the first figure to the corresponding side in the second figure is a constant. If the figures are congruent, that ratio is 1: that is, the corresponding sides are of the same measure.


How do you find the ratio of corresponding sides?

You divide the length of a side of the first figure by the length of the line in the same relative position in the second figure.


HOW do you find the similar ratio of a triangle?

Divide the length of a side of one triangle by the length of the corresponding side of the other triangle.


How do you find the missing side lengths of similar figures?

You need to know the proportionality constant, or ratio of the two figures. Suppose two corresponding sides have lengths of 10cm and 25cm, then the ratio is 25/10 = 2.5. If another side of the first figure is 6cm long, then multiply it by 2.5 to find the length of the corresponding side: 6cm x 2.5 = 15cm. If one side of the second figure is 30cm long, then divide it by 2.5 to get the length of the corresponding side in the first figure: 30cm / 2.5 = 12cm.


What is the difference between scale factor and scale ratio?

if two polygons are similar, then the ratio of the length of 2 corresponding sides is called a scale factor


The ratio of the lengths of corresponding parts in two similar solids is 41 What is the ratio of their surface areas?

Area = length x length Therefore the ratio of areas of two similar objects is the square of the ratio of lengths. Lengths - 1 : 41 Areas - 12 : 412 = 1 : 1681


If two rectangles are similar then the corresponding sides are?

If two rectangles are similar, they have corresponding sides and corresponding angles. Corresponding sides must have the same ratio.


What is true about corresponding angles and corresponding sides of similar figures?

The ratio between corresponding sides or angles of similar triangles are equal


What are two solids whose corresponding sides have a constant ratio?

The corresponding sides of similar solids have a constant ratio.


What is the definition of corresponding sides?

n. in congruent polygons, the pairs of sides which can be superimposed on one another. In similar polygons, the ratio of the length of a side on the larger polygon to the length of its corresponding side on the smaller polygon is the same for all the sides.