Test: Angles and Shapes, Symmetrical patterns - Year 5 MCQ

A reflex angle is defined as being greater than 180 degrees but less than 360 degrees. Reflex angles are often encountered in various geometric configurations and can be important in understanding angles in complex shapes.

To find the missing angle on a straight line when one angle measures 145 degrees, you subtract from 180 degrees: 180 - 145 = 35 degrees. This calculation is essential for understanding angle relationships in geometry.

An equilateral triangle has all angles equal, measuring exactly 60 degrees each. This equality of angles and sides is what allows equilateral triangles to have multiple lines of symmetry and to tessellate seamlessly in patterns.

An equilateral triangle has three lines of symmetry. Each line passes through one vertex and the midpoint of the opposite side, demonstrating the triangle’s balanced proportions. This characteristic makes equilateral triangles particularly appealing in design and art.

An equilateral triangle is defined as having all sides and angles equal. This property leads to its symmetrical nature and makes it a common shape in various areas of mathematics and design.

An acute angle is defined as an angle that measures less than 90 degrees. This type of angle is commonly found in various geometric figures and plays a vital role in triangle classification, particularly in acute triangles where all angles are acute.

A symmetrical pattern can have multiple lines of symmetry, such as two or four, depending on its design. The presence of these lines indicates the balance and equality of the pattern, which is essential in art and nature.

An isosceles triangle has one line of symmetry, which runs vertically from the vertex opposite the base down to the midpoint of the base. This line divides the triangle into two mirror-image halves. Understanding this symmetry helps in solving problems related to triangle properties.

A right angle is defined as measuring exactly 90 degrees. It is a fundamental concept in geometry, represented by a square symbol in diagrams. Right angles are essential in various applications, including construction and design, as they ensure perpendicularity.

A line of symmetry divides a symmetrical shape into two mirror-image halves. This concept is fundamental in both geometry and art, as it helps create balance and proportion in designs.

Tessellation involves arranging shapes to cover a plane without gaps or overlaps. Equilateral triangles, for instance, can tessellate perfectly due to their equal angles and sides, making them ideal for creating continuous patterns.

Symmetry in geometry refers to a pattern or shape that can be divided into two or more identical parts. This means that if you draw a line through the shape, one side will mirror the other. Understanding symmetry is crucial in various fields such as art, architecture, and mathematics, as it often relates to balance and harmony.

An isosceles triangle is characterized by having two sides of equal length. The angles opposite these equal sides are also equal, which is a key property that can be used to solve problems involving angles and lengths in geometry.

In an isosceles triangle, the angles opposite the equal sides are always equal in measurement. This property is crucial for understanding the relationships within triangles and can be used to solve for unknown angles.

A half turn is defined as exactly 180 degrees, representing a straight line. This angle is vital in various geometric contexts, as it helps describe relationships and configurations in planar geometry.