6th Grade 2D geometry worksheets: Shapes and their properties

A 2D shape is a flat figure with only two dimensions: length and width. We can think of it as a shape that can be drawn on paper. Some examples of 2D shapes are circles, squares, triangles, and rectangles.

Can you name some more?

To identify 2D shapes, we can look at their features, such as the number of sides, the length of sides, the type of angles, and the number of lines of symmetry. For example, a square has four equal sides, four right angles, and four lines of symmetry. A circle has no sides, no angles, and infinite lines of symmetry.

What about a triangle? How many sides, angles, and lines of symmetry does it have?

An angle is the amount of turns between two lines that meet at a point. There are different types of angles, such as acute, right, obtuse, and straight angles.

• An acute angle is less than 90 degrees
• A right angle is exactly 90 degrees
• An obtuse angle is more than 90 degrees
• A straight angle is 180 degrees.

Can you find these angles in different shapes?

A side is a line segment that connects two vertices of a shape. A vertex is a point where two or more sides meet. There are different types of sides, such as equal, unequal, parallel, and perpendicular sides.

• Equal sides have the same length
• Unequal sides have different lengths
• Parallel sides never meet
• Perpendicular sides meet at right angles.

Can you spot these sides in different shapes?

Symmetry is when one part of a shape can be flipped, slid, or rotated to match another part. There are different types of symmetry, such as line, rotational, and point.

• Line symmetry is when a shape can be divided by a line into two identical parts.
• Rotational symmetry is when a shape can be rotated around a point and still look the same.
• Point symmetry is when a shape has a point the same distance from all its edges.

Can you find these symmetries in different shapes?

In this section of Mathskills4kids 6^th Grade 2D Geometry worksheets, students will learn about some common 2D shapes and their properties, such as circles, squares, rectangles, triangles, pentagons, hexagons, octagons, and more.

They will also see examples of how these shapes are used in real life.

• Circle: A circle is a shape that has no sides or angles. It has one curved edge and one center point. The distance from the center to any point on the edge is called the radius. The distance across the circle through the center is called the diameter. The perimeter or circumference of a circle is the length of the edge. The area of a circle is the space inside it. We can find circles in many things, such as wheels, clocks, coins, and pizzas.
• Square: A square is a shape that has four equal sides and four right angles. It has four vertices and four lines of symmetry. The perimeter of a square is the sum of all its sides. The area of a square is the product of its side length and itself.

  We can find squares in many things, such as tiles, windows, books, and chessboards.

• Rectangle: A rectangle is a shape that has four sides and four right angles. It has two pairs of equal and parallel sides. It has four vertices and two lines of symmetry. The perimeter of a rectangle is the sum of all its sides. The area of a rectangle is the product of its length and width.

  We can find rectangles in many things, such as doors and screens.

• Triangle: A triangle is a shape that has three sides and three angles. The sum of the angles in a triangle is 180 degrees. Different types of triangles are based on the length of their sides or the measure of their angles, such as equilateral, isosceles, scalene, acute, right, and obtuse. A triangle can have zero, one, or three lines of symmetry, depending on its type. A triangle can have rotational symmetry of order 1, 2, or 3, depending on its type.
• Pentagon: A pentagon is a shape that has five sides and five angles. The sum of the angles in a pentagon is 540 degrees. There are different types of pentagons based on the length of their sides or the measure of their angles, such as regular, irregular, convex, and concave pentagons. A regular pentagon has five equal sides and five equal angles. It has five lines of symmetry and rotational symmetry of order 5.
• Hexagon: A hexagon is a shape that has six sides and six angles. The sum of the angles in a hexagon is 720 degrees. There are different types of hexagons based on the length of their sides or the measure of their angles, such as regular, irregular, convex, and concave hexagons. A regular hexagon has six equal sides and six equal angles. It has six lines of symmetry and rotational symmetry of order 6.
• Octagon: An octagon is a shape that has eight sides and eight angles. The sum of the angles in an octagon is 1080 degrees. There are different types of octagons based on the length of their sides or the measure of their angles, such as regular, irregular, convex, and concave octagons. A regular octagon has eight equal sides and eight equal angles. It has eight lines of symmetry and rotational symmetry of order 8.

Drawing 2D shapes can be fun and easy if we follow simple steps and use helpful tools. Here are some tips and tricks to draw accurate and neat shapes.

• To draw a circle, use a compass or a circular object such as a coin or a lid. Place the point of the compass or the center of the object on the paper where you want to draw the circle. Then trace around the edge with a pencil or a pen.
• To draw a square, use a ruler or grid paper. First, draw a line segment with a desired length using the ruler or following the grid lines. Then use the ruler to measure 90 degrees from one endpoint and draw another line segment with the same length. Repeat this process until four connected line segments form a square.
• To draw a rectangle, use a ruler or grid paper. First, draw a line segment with a desired length using the ruler or following the grid lines. Then use the ruler to measure 90 degrees from one endpoint and draw another line segment with a desired width. Repeat this process until four connected line segments form a rectangle.
• To draw a triangle, use a ruler or a protractor. First, draw a line segment with a desired length using the ruler. Then use the protractor to measure a desired angle from one endpoint and draw another line segment with a desired length. Repeat this process until three connected line segments form a triangle.
• To draw a pentagon, use a ruler or a protractor. First, draw a line segment with a desired length using the ruler. Then use the protractor to measure 108 degrees from one endpoint and draw another line segment with the same length. Repeat this process until five connected line segments form a pentagon.
• To draw a hexagon, use a ruler or a protractor. First, draw a line segment with a desired length using the ruler. Then use the protractor to measure 120 degrees from one endpoint and draw another line segment with the same length. Repeat this process until six connected line segments form a hexagon.
• To draw an octagon, use a ruler or a protractor. First, draw a line segment with a desired length using the ruler. Then use the protractor to measure 135 degrees from one endpoint and draw another line segment with the same length. Repeat this process until eight connected line segments form an octagon.