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What determines whether two shapes are similar?
the same number of sides and internal angles but not the length of the sides.
What is a shape with a number of angles that is different from the number of sides in the shape?
A circle. One side, zero angles. Also a line as it is a 1-dimensional shape.
Can two shapes be congruent and not similar?
In short, no. Similar shapes are shapes in which all corresponding angles congruent regardless of the length of the sides. Congruent shapes have congruent corresponding angles and corresponding sides. In effect congruent shapes is a special condition of similar shapes.
Are all eight sided shapes called octagons?
No. All 2-dimensional shpaes with 8 sides are octagons; all 3-dimensional shapes with 8 sides are called octahedrons.
Shapes with 3 sides and 3 angles?
A Triangle
Does trigonometry only involves angles?
No, it also involves sides of polygonal shapes, and their counterparts in 3 or more dimensional spaces.
Does a polygon have more sides or more angles and why?
yes a polygon does have the most number and sides because they have the most number of shapes with the most number of sides
Will a shape always have the same number of vertice as sides?
The answer depends on the dimensions of the shape. Plane shapes - flat shapes in 2-dimensional space - will have the same number of vertices as sides. However, that is not the case with solid shapes.
What determines whether two shapes are similar?
the same number of sides and internal angles but not the length of the sides.
What is a shape with a number of angles that is different from the number of sides in the shape?
A circle. One side, zero angles. Also a line as it is a 1-dimensional shape.
What shapes has equal sides?
Any regular shapes have equal sides, including squares and equilateral triangles. Irregular shapes can also have equal sides, but not equal angles.
How are prefixes used to name shapes?
Prefices are used to indicate the number of sides, angles, faces or solid angles (in 3d objects).
Are regular shapes shapes with all the same angles and sides?
Yeah.
Characteristics of two dimensional shapes?
It all depends on the shape; different 2D geometrical shapes have different characteristics.Some specialized geometrical shapes:Square: 4 sides; 4 equal sides; 2 pairs of parallel sides; 4 right angles (90 degrees)* A square is a rectangle.Rectangle: 4 sides; 2 pairs of parallel sides; 4 right angles (90 degrees)* A rectangle is not a square.Triangle (equilateral): 3 sides; 3 equal sides; all angles 60 degreesTriangle (isosceles): 3 sides; 2 equal sides (usually the base is the odd one)Triangle (scalene): 3 sides; all uneven sides and anglesRhombus: 4 sides; 4 equal sides; 2 pairs of parallel sides; 4 equal anglesParallelogram: 4 sides; 1 pair of parallel sidesThese are the basic geometrical 2D shapes, but there are others that are more complex.
Shapes with no parallel sides?
deltaAnswerThere are several categories that meet this criteria:Among two dimensional shapes:Any regular polyhedron with an odd number of sides will not have any parallel sidesAny circle oval or ellipseAny closed shape made of arcsCycloidFor three dimensional shapes: SpheresCones
Can two shapes be congruent and not similar?
In short, no. Similar shapes are shapes in which all corresponding angles congruent regardless of the length of the sides. Congruent shapes have congruent corresponding angles and corresponding sides. In effect congruent shapes is a special condition of similar shapes.
What are the properties of polygons?
A polygon is a closed plane figure that is bounded by straight sides. There may be three or more sides - up to any number. The sides can be the same size or different. It must have the same number of sides as vertices. The angles may be the same or different. The sum of the exterior angles is 2*pi radians. The sum of the interior angles of a polygon with n sides is (n-2)*pi radians.1 radian = 180 degrees.
