scale factor
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.
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.
Divide the length of a side of one triangle by the length of the corresponding side of the other triangle.
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
Not to the square root, but to the square.
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.
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.
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.
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.
Divide the length of a side of one triangle by the length of the corresponding side of the other triangle.
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.
if two polygons are similar, then the ratio of the length of 2 corresponding sides is called a scale factor
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, they have corresponding sides and corresponding angles. Corresponding sides must have the same ratio.
The ratio between corresponding sides or angles of similar triangles are equal
The corresponding sides of similar solids have a constant ratio.
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.