Geometry Shapes And Similarity

A quadrilateral is a polygon with four sides. Therefore, the correct answer is 4.

A parallelogram is a shape that has two pairs of parallel sides, meaning that opposite sides are parallel. It does not have any right angles, which means that none of its angles measure 90 degrees. Therefore, a parallelogram fits the description of a shape with two pairs of parallel sides and no right angles.

An equilateral triangle is a shape that has all three angles equal to 60 degrees. In an equilateral triangle, all three sides are also equal in length. This is because the sum of the angles in any triangle is always 180 degrees, and since all three angles are equal in an equilateral triangle, each angle must measure 60 degrees. Therefore, an equilateral triangle fits the description of a shape with all three angles equal to 60 degrees.

A regular pentagon has 5 lines of symmetry because it can be divided into 5 equal parts that can be reflected onto each other. Each line of symmetry passes through a vertex and the midpoint of the opposite side, dividing the pentagon into two congruent halves.

A rhombus is a shape with all sides the same length, but it only has 2 lines of symmetry. This means that there are only two ways to fold the shape in half so that both halves match perfectly. The other options, a square and a kite, both have more than 2 lines of symmetry. A square has 4 lines of symmetry, while a kite has only one line of symmetry. Therefore, the correct answer is a rhombus.

A trapezium is a shape with four sides, but only one pair of parallel sides. The other two sides are non-parallel and may have different lengths. This distinguishes it from a parallelogram, which has two pairs of parallel sides, and a kite, which has no parallel sides. Therefore, the correct answer is trapezium.

An isosceles triangle is a type of triangle that has two sides of equal length. It is characterized by having two sides that are the same length and one side that is different. Therefore, an isosceles triangle fits the description of having three sides with two the same length.

A regular hexagon is the correct name for a shape with six sides all having the same length and with all interior angles equal. The term "regular" indicates that the shape is symmetrical and has equal sides and angles, distinguishing it from an irregular hexagon which does not have these properties.

A square has 4 lines of symmetry because it can be folded in half vertically, horizontally, and diagonally from both directions. It also has two pairs of parallel sides, where opposite sides are equal in length and parallel to each other. Therefore, a square is the only shape among the given options that satisfies both conditions.

A dodecagon is a polygon with 12 sides. Therefore, the correct answer is 12.

An isosceles triangle is a polygon with at least 2 sides of equal length. This means that the given answer, "Isosceles triangle," correctly describes a polygon with at least 2 sides the same. The other options, "Isosceles trapezium" and "Regular Triangle," do not accurately describe a polygon with at least 2 sides the same.

A tessellation is a collection of the same shapes which cover an area. This means that the shapes are repeated and fit together without any gaps or overlaps to form a larger pattern. Each shape in the tessellation is identical and can be rotated or reflected to fit together seamlessly with the other shapes. Tessellations can be found in various forms of art, architecture, and nature.