Test: 2D Shapes - Year 4 MCQ

A line of symmetry is one that divides a shape into two equal mirror-image halves. This means that if you were to fold the shape along this line, both halves would match perfectly. Shapes like squares and regular polygons often have multiple lines of symmetry.

Tessellation is primarily used in art and design to create patterns where shapes fit together without gaps or overlaps. This technique is commonly seen in tile designs, wallpapers, and various forms of decorative art, enhancing visual appeal.

A triangle is a polygon because it is a closed 2D shape with straight sides. Polygons are defined as shapes with straight edges, and triangles, rectangles, and pentagons all fall under this category, while circles and ellipses do not.

Vertical symmetry is represented by a line running from the top to the bottom of a shape. This line divides the shape into two mirror-image halves, and many common shapes, such as rectangles and certain polygons, exhibit this type of symmetry.

A pentagon has five sides. The term "pentagon" is derived from the Greek words "penta," meaning five, and "gon," meaning angle. This shape can be regular (with equal sides) or irregular (with sides of different lengths).

A circle is not a polygon because it does not have straight sides. Polygons must have a finite number of straight edges that connect to form a closed figure, whereas a circle is a curved shape with no edges or vertices.

A regular polygon is defined by having all sides and angles equal. This property ensures that every angle is congruent and each side length is the same, creating a uniform shape. For example, a square and an equilateral triangle are both regular polygons.

Parallel sides are defined as sides that are equidistant from each other and never intersect, no matter how far they are extended. This characteristic is essential in defining shapes like rectangles and parallelograms.

A regular octagon has 8 lines of symmetry. This includes vertical, horizontal, and diagonal lines, reflecting the balance and uniformity in this shape. Each line of symmetry represents a way to fold the octagon into two identical halves.

Triangles can tessellate because they can be arranged in a way that fills a plane without leaving any gaps or overlaps. This property is utilized in various designs, including tiling and art, where repeated triangular patterns create a cohesive look.