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To determine if the rectangles are similar, set up a proportion comparing the short sides and the long sides from each rectangle: cross-multiply since that's true, the rectangles are similar.
Similar shapes have sides of different lengths, but all corresponding sides are related by the same scale factor. All the corresponding angles in the similar shapes are equal and the corresponding lengths are in the same ratio. For example, these two rectangles are similar shapes because:
What are similar shapes? Similar shapes are enlargements of each other using a scale factor. All the corresponding angles in the similar shapes are equal and the corresponding lengths are in the same ratio. E.g. These two rectangles are similar shapes. The scale factor of enlargement from shape A to shape B is 2 . The angles are all 90^o
This blog deals with similar polygons including similar quadrilaterals, similar rectangles, and answer some common questions like are all squares similar and more!
Learn what it means for two figures to be similar, and how to determine whether two figures are similar or not. Use this concept to prove geometric theorems and solve some problems with polygons.
Two shapes are Similar when one can become the other after a resize, flip, slide or turn.
In mathematics, we say that two objects are similar if they have the same shape, but not necessarily the same size. This means that we can obtain one figure from the other through a process of expansion or contraction, possibly followed by translation, rotation or reflection. If the objects also have the same size, then they are congruent. Contents
Consider the two rectangles shown here. Are they similar? Figure \(\PageIndex{5}\) It looks like rectangles \(ABCD\) and \(EFGH\) could be similar, if you match the long edges and match the short edges. All the corresponding angles are congruent because they are all right angles.
This lesson will allow you to understand the relationship between area and corresponding sides of similar figures. Here are the sections within this lesson page: Determining Ratios of Areas with Similar Rectangles; Ratios of Areas Between Similar Figures; The Area and Length of Similar Figures Equation
Examples of shapes that are not similar. These two shapes are rectangles, so in each case all four angles are 90 degrees. But the width-to-height ratio is different, so they are not similar: These two shapes are both rhombuses, so each one has 4 equal sides.