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Two similar polygons have areas of 16 square inches and 64 square inches the ratio of a pair of corresponding sides is 1 to 4 is this true or false?
Wiki User
∙ 13y ago
False:
Ratio areas= 16 : 64
= 1 : 4
Ratio of sides = sqrt(ratio of areas)
= 1 : 2
Wiki User
∙ 13y ago
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Are polygons whose vertices can be paired so that corresponding angles are congruent and corresponding sides are proportional?
The fact that corresponding angles are congruent does not require corresponding sides to be proportional - except in the case of a triangle. For quadrilaterals, think of a square and rectangle.
Two triangle are similar and the ratio of the corresponding sides is 4 3 What is the ratio of their areas?
area of triangle 1 would be 16 and the other triangle is 9 as the ratio of areas of triangles is the square of their similar sides
How many square feet is 16 inches by 16 inches?
(16" x 16") = 256 square inches(256 square inches) / (144 square inches per square foot) = 1 and 7/9 square feet
Which polygons have 2 pair of parallel sides?
square, rectangle, rhombus, parallelogram
How big is three square inches?
3 square inches = 19.35 square centimetres.
Can you have two polygons having corresponding side lengths that are proportional and can you conclude that the polygons are similar?
No. You could, for example, have a square and a rhombus with sides twice as large.
What is the ratio of corresponding sides of two similar triangles whose areas are 36 square inches and 144 square inches?
Areas are proportional to the square of corresponding sides. Therefore, in this case: * Divide 144 by 36. * Take the square root of the result. That will give you the ratio of the corresponding sides.
Are polygons whose vertices can be paired so that corresponding angles are congruent and corresponding sides are proportional?
The fact that corresponding angles are congruent does not require corresponding sides to be proportional - except in the case of a triangle. For quadrilaterals, think of a square and rectangle.
Is a square and rectangle similar to a trapiziod?
Similar polygons have congruent angles and the same shape (but not necessarily the same size). Since the shape of a square and a rectangle is different from the shape of a trapezoid, they are not similar to it.
What is the definition of similar figures?
Similar figures are polygons with the same shape but a different size. eg: 5cm square compared to a 10cm square = similar figures. Same shape but different size.
Are two quadrilaterals similar if their corresponding angles are congruent?
No. Consider a square and rectangle.
What is a simular polygon?
Two polygons are similar if they meet the following criteria. They must have the same number of sides. Each vertex of one polygon has a corresponding vertex on the other polygon with same angle measurement. Each side on one polygon is proportional to a corresponding side on the other one by the same scalar multiple. If the two polygons are triangles, then if angle criteria is satisfied the side proportion will automatically be satisfied. The converse is true as well. For other polygons, both sides and angles must be tested. An example would be a square and a rhombus.
Are all pentagons similar?
No, similar pentagons (or any polygon for that matter) must have corresponding congruent angles and all sides must be proportional to its corresponding sides. For example, if a square with a triangle on it is a pentagon, then a regular pentagon would not be similar to it (because corresponding angles are not congruent).
Do the ratios of surface area of two similar solids is equal to the square root of the ratio between their corresponding edge length?
Not to the square root, but to the square.
Are a square and a rectangle polygons?
Both rectangles and squares are polygons. A square is a special case of a rectangle.
Is a polygon a square?
Squares are polygons, but not all polygons are squares.
What are a polygons measurements?
the answer is a square
