Test: Fractions and Percentages - Year 6 MCQ

A square has the highest order of rotational symmetry among the options, with an order of 4. This means that a square looks the same after rotations of 90°, 180°, 270°, and 360°. This property is crucial in many fields, including art and design, where symmetry is often visually appealing.

A scalene trapezium has no lines of symmetry since its non-parallel sides are unequal and its angles are also not equal. In contrast, rectangles and squares have multiple lines of symmetry, and while a scalene triangle has no symmetry, it is not a quadrilateral. Understanding the symmetry of shapes helps in various applications, such as design and architecture.

The correct statement is that all points on the circumference of a circle are equidistant from the center. This is a defining characteristic of circles and is fundamental in geometry. Understanding this property is crucial in various applications, including navigation and engineering.

A diagonal refers to a line segment connecting non-adjacent (opposite) vertices in a quadrilateral. Diagonals play a significant role in determining the properties of polygons, including calculating areas and understanding symmetry.

A rhombus has 2 lines of symmetry, which bisect the angles at the vertices. These lines run along the diagonals of the rhombus, creating symmetrical halves. This property helps in various geometric constructions and proofs.

A rectangle has two lines of symmetry: one vertical line that divides it into two equal halves, and one horizontal line that does the same. This symmetry makes rectangles useful in design, as they can be easily duplicated and arranged without gaps.

An equilateral triangle has three lines of symmetry. Each line of symmetry passes through one vertex and the midpoint of the opposite side. This means that if you fold the triangle along any of these lines, both halves will match perfectly. This property is unique to equilateral triangles, making them very symmetrical shapes.

A square has rotational symmetry of order 4, meaning it looks the same at 90°, 180°, 270°, and 360° rotations. This characteristic of squares makes them particularly useful in design and architecture due to their balanced proportions.

Squares, rectangles, and parallelograms can tessellate, meaning they can fit together without leaving any gaps. This property makes them ideal for flooring and tiling applications. Not all quadrilaterals can tessellate; for example, kites may leave gaps when arranged.

A rectangle is characterized by having two pairs of parallel sides and all four right angles (90°). This definition is essential in distinguishing rectangles from other quadrilaterals that may have right angles or parallel sides but not both.

A composite shape formed by joining a semicircle to a rectangle contains both straight and curved edges. The straight edges come from the rectangle, while the curved edge is from the semicircle. Understanding these properties is crucial for exploring complex shapes in geometry.

An isosceles trapezium has one line of symmetry, which runs vertically through the midpoints of the parallel sides. This symmetry arises from the equal lengths of the non-parallel sides, making it a unique shape among quadrilaterals.

A parallelogram generally has 0 lines of symmetry unless it is a special case like a rectangle or rhombus. This lack of symmetry is due to its opposite sides being equal but not necessarily equal angles, resulting in no reflective symmetry across any line.

A kite is defined geometrically as a quadrilateral with two pairs of adjacent sides that are equal. This unique property allows kites to have one line of symmetry, which bisects the angles formed by the unequal sides. Kites are often seen in design and nature due to their distinct shape.

A parallelogram is defined by having two pairs of equal angles but generally has no lines of symmetry unless it is a rectangle or rhombus. This distinction is important in geometry for classifying shapes and understanding their properties.