How do you find the scale factor between two similar figures?

To find a scale factor between two similar figures, find two corresponding sides and write the ratio of the two sides. If you begin with the smaller figure, your scale factor will be less than one. If you begin with the larger figure, your scale factor will be greater than one.

What does it mean if two similar shapes have a scale factor of 1?

If the scale factor is one, it means that corresponding sides are equal in length. In this case the shapes would be congruent (ie identical) rather than similar. They have the same shape, the same angles and the same size.

How does the scale factor affect the size of two similar shapes?

A scale factor is simply a number that multiplies the dimensions of a shape. This can make a shape larger. Larger shapes will have a scale factor greater than one. So, if the scale factor is three, then the dimensions of the new shape will be three times larger than that of the original.

How can you prove that two figures are the same size and same shape?

Two figures are considered to be “similar figures” if they have the same shape, congruent corresponding angles (meaning the angles in the same places of each shape are the same) and equal scale factors. Equal scale factors mean that the lengths of their corresponding sides have a matching ratio.

How do you find similar figures?

Two figures that have the same shape are said to be similar. When two figures are similar, the ratios of the lengths of their corresponding sides are equal. To determine if the triangles below are similar, compare their corresponding sides.

How do you find the scale factor of a shape?

The basic formula to find the scale factor of a figure is: Scale factor = Dimensions of the new shape ÷ Dimensions of the original shape. This can also be used to calculate the dimensions of the new figure or the original figure by simply substituting the values in the same formula.

What is a scale factor of 2?

If you multiply each side of the first trapezoid by 2, you get the lengths of the sides from the larger trapezoid. This means the scale factor is 2. You can also see that it’s two by finding the ratios: 14/7 = 2, 10/5 = 2, 16/8 = 2.