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 using similar polygons 'polygon' in the class, as introduced by my Maths teacher, Mr, using similar polygons. 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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How do you identify similar polygons? These cookies will be stored in your browser only with your consent.

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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. Look at the lengths of their sides. An equilateral triangle is not proportionally the same as a right triangle. You could not shrink the right triangle to make it the same size and shape as the smaller equilateral triangle.

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. 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.

Bharat sundaresan

Non-necessary Non-necessary. Which among the following is a polygon? Similar polygons have the same number of sides, the same angles at corresponding vertices and the lengths of their corresponding sides have a directly proportional relationship. You can find the lengths of sides by using the fact that the length of corresponding sides in two polygons are directly proportional to each other and you can find unknown angles by noting that corresponding vertices have the same angle. How do you work out the length of unknown sides and the values of angles on similar polygons? Free math cheat sheet! What is a polygon? A polygon is a plane figure which is comprised of at least 3 straight lines or sides with no less than 3 angles. Sign-up for free! There are several uses of the concept of similar polygons, and a major application is in finding missing sides and angles.

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Create a free account to save this explanation. Sign-up for free! I thought to myself, "Spins must have got lots of guns to distribute to us in class". But opting out of some of these cookies may affect your browsing experience. Will you pass the quiz? Creating flashcards. The sides must satisfy the proportional relationship for similar polygons and the angle on a vertex of one polygon must be equal to the angle at the equivalent vertex on the other polygon. Meaning of similar polygons Similar Polygons can be described as two-dimensional Figures which have the same shape but vary in size. Link copied! The relationship between similar polygons can be used to find unknown lengths and angles. 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. Unlike those topics, there is hardly any formula s one can attribute to finding a similar polygon.