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What does the scale factor between two similar shapes tell you about the angles?
The scale factor between two similar shapes indicates that their corresponding angles are equal. This means that even though the shapes may differ in size, their angular measures remain consistent across both shapes. Therefore, the scale factor affects only the lengths of the sides, not the angles. Similar shapes maintain the same shape and proportions, preserving the angle relationships.
What does a scale factor tell you about two similar shapes?
They are similar to each other by ratio and angles
What does the scale factor between two similar figures tell you about the perimeter?
The perimeter will scale by the same factor.
Similar figures have what three things in common?
They have congruent angles, they are multiplied by a scale factor, and they are the same shape
What triangle is always similar?
An equilaterial triangle is always similar, because the corresponding angles are conqruent, it has the same basic shape, and it has a scale factor.
What does a scale factor tell you about two similar shapes?
They are similar to each other by ratio and angles
Does a scale factor tell you about two similar shapes?
They are similar to each other by ratio and angles
What are the relationship between the area scale factor and the side length scale factor of similar figures?
The area scale factor is the square of the side length scale factor.
What does the scale factor between two similar figures tell you about the perimeter?
The perimeter will scale by the same factor.
Similar figures have what three things in common?
They have congruent angles, they are multiplied by a scale factor, and they are the same shape
What triangle is always similar?
An equilaterial triangle is always similar, because the corresponding angles are conqruent, it has the same basic shape, and it has a scale factor.
Does the same relationship between the scale factor of similar rectangles and their area apply for similar triangles?
Yes, the same relationship between the scale factor and area applies to similar triangles. If two triangles are similar, the ratio of their corresponding side lengths (the scale factor) is the same, and the ratio of their areas is the square of the scale factor. For example, if the scale factor is ( k ), then the area ratio will be ( k^2 ). This principle holds true for all similar geometric shapes, including rectangles and triangles.
How does the coordinate rule for making two similar shapes relate to the scale factor?
corresponding angles are the same size
How does the coordinate rule for making two similar shapes related to the scale factor?
corresponding angles are the same size
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
What is the definition of scale factor?
The scale factor between two similar shapes is the ratio of the dimensions of one (often the smaller) compared with the dimension of the other (the larger).
What does the scale factor between two similar figures tell you about the given measurement perimeters?
Perimeter will scale by the same factor. Area of the new figure, however is the original figures area multiplied by the scale factor squared. .
