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How do you determine if two figures are similar?
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 can I use what I know about similar figures to solve problems?
In similar figures, the ratios of the lengths of corresponding sides are equal. Write an equation where the ratios of corresponding side lengths are set equal to each other. Then solve the equation to determine the missing side length.
What is the first step in determining if two figures are similar?
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.
Which condition justifies why all squares are similar?
Q. Which condition justifies why all squares are similar? Corresponding angles are congruent and all sides are proportional.
Are 2 squares always similar?
All squares are similar. Two figures can be said to be similar when they are having the same shape but it is not always necessary to have the same size. The size of every square may not be the same or equal but the ratios of their corresponding sides or the corresponding parts are always equal.
How to find the length of a similar figure?
Since these triangles are similar, then the pairs of corresponding sides are proportional. That is, A : a = B : b = C : c. This proportionality of corresponding sides can be used to find the length of a side of a figure, given a similar figure for which the measurements are known.
How to determine if two polygons are similar?
Explain your reasoning. 62/87,21\ Yes; sample answer: In order to determine if two polygons are similar, you must compare the ratios of WKHLUFRUUHVSRQGLQJVLGHV\ The ratio of the longer dimensions of the screens is approximately 1.1 and the ratio of the shorter dimensions of the screens is approximately 1.1.
How to find if two rectangles are similar?
For two rectangles to be similar, their sides have to be proportional (form equal ratios). The ratio of the two longer sides should equal the ratio of the two shorter sides. However, the left ratio in our proportion reduces. We can then solve by cross multiplying. We then solve by dividing.
There is another topic, kind of an off-shoot of similar-figures questions, which you may encounter. It is the fact that, if two figures (or three-dimensional shapes) are similar, then not only are their lengths proportional, but so also are their squares (being their areas) and their cubes (being their volumes).