Using similar polygons

I remember vividly as an adolescent, I got thrilled and psyched seeing action and sci-fi movies especially those involving large guns and grenades. The first day I ever heard the word 'polygon' in the class, using similar polygons, as introduced by my Maths teacher, Mr. Finicky Spins, I was so elated. Do you know why?

As you may recall, congruent polygons have the exact same size and are a perfect match because all corresponding parts are congruent equal. Whereas, similar polygons have the same shape, but not the same size i. This means that if two polygons are similar, then their corresponding angles are congruent but their their corresponding sides are proportional as displayed in the figure below. Remember, a ratio is a fraction comparing two quantities, and a proportion is when we set two ratios equal to each other. And we can use cross multiplication to solve a proportion. If two polygons are similar, then the ratio of the lengths of any two corresponding sides is called the scale factor.

Using similar polygons

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The relationship between similar polygons can be used to find unknown lengths and angles. Start Quiz.

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A circle, cube, or oval is not a polygon. A triangle is a polygon. The capital letter L is not a polygon. Similar polygons involve two mathematical concepts similarity and polygons , and have within them an additional concept, proportion. First look at the angles. Are they the same from one triangle to the other? They are not.

Using similar polygons

As you may recall, congruent polygons have the exact same size and are a perfect match because all corresponding parts are congruent equal. Whereas, similar polygons have the same shape, but not the same size i. This means that if two polygons are similar, then their corresponding angles are congruent but their their corresponding sides are proportional as displayed in the figure below.

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Their vertices can be paired up so that the corresponding sides have lengths that are in proportion, and all of the pairs of corresponding angles are equal. And we can use cross multiplication to solve a proportion. Are all isoceles triangles similar? But opting out of some of these cookies may affect your browsing experience. Sign up to highlight and take notes. Another detail is that one side is twice the other. Using similar polygons in making a hanger. What two conditions are needed for two polygons to be similar? Sign up for free! Already have an account? Start learning with StudySmarter, the only learning app you need. Save Article. What is the type of relationship between corresponding sides on two similar polygons? Any cookies that may not be particularly necessary for the website to function and is used specifically to collect user personal data via analytics, ads, other embedded contents are termed as non-necessary cookies. The techniques above can be used together to find other properties of polygons such as their height, perimeter, and area.

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What is a polygon? We'll assume you're ok with this, but you can opt-out if you wish. The ratios of the corresponding sides of each polygon can be set equal to each other to form a quadratic equation of this unknown quantity. The relationship between similar polygons can be used to find unknown lengths and angles. Their lengths are directly proportional. This means that the ratio of all parts of a polygon is the same as the ratio of the sides. Home » Similarity » Similar Polygons. Create a free account to save this explanation. Sign up to highlight and take notes. But opting out of some of these cookies may affect your browsing experience.