Mathematics Grade 6 15 min

Name the two-dimensional shape

Name the two-dimensional shape

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Introduction & Learning Objectives

Learning Objectives Identify and name common two-dimensional shapes. Distinguish between polygons and non-polygons. Count the number of sides and vertices of a given polygon. Classify polygons based on their number of sides. Differentiate between regular and irregular polygons. Describe key properties of basic two-dimensional shapes. Look around you! 👀 Can you spot any flat shapes on your desk, on the wall, or even in a book? We see two-dimensional shapes everywhere! In this lesson, you'll become an expert at identifying and naming these flat shapes, also known as two-dimensional (2D) shapes. Understanding these shapes is a fundamental skill that helps us describe the world around us and build more complex geometric ideas. Real-World Applications Designing buildin...
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Key Concepts & Vocabulary

TermDefinitionExample Two-Dimensional (2D) ShapeA flat shape that has only length and width, but no depth. It can be drawn on a piece of paper.A square drawn on a whiteboard, a circle on a pizza. PolygonA closed 2D shape made up of three or more straight line segments (sides) that do not cross each other.A triangle, a square, a hexagon are all polygons. A circle is NOT a polygon because it has no straight sides. SideA straight line segment that forms part of the boundary of a polygon.A triangle has 3 sides. A square has 4 sides. Vertex (Vertices)A point where two or more sides of a polygon meet. It's often called a 'corner'.A triangle has 3 vertices. A square has 4 vertices. Regular PolygonA polygon where all sides are equal in length AND all interior angles are equal in me...
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Core Formulas

Polygon Identification Rule A 2D shape is a polygon if and only if it is closed, made entirely of straight line segments, and its sides do not intersect except at the vertices. Use this rule to determine if a given shape qualifies as a polygon before trying to name it. If it has curves or is open, it's not a polygon. Polygon Naming Rule by Sides Polygons are named based on the number of sides (and vertices) they have. For $n$ sides, the polygon is named accordingly: - 3 sides: Triangle - 4 sides: Quadrilateral - 5 sides: Pentagon - 6 sides: Hexagon - 7 sides: Heptagon - 8 sides: Octagon - 9 sides: Nonagon - 10 sides: Decagon Count the number of straight sides of the polygon. This count directly tells you the polygon's name. The number of vertices will alway...

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Sample Practice Questions

Challenging
A regular quadrilateral (a square) and a regular triangle are joined together to share one complete side of the same length. If you trace the outside perimeter of this new combined shape, what polygon have you created?
A.pentagon
B.hexagon
C.heptagon
D.An octagon
Challenging
A new polygon is being designed. The number of its sides must be the smallest whole number that is a multiple of both 3 and 4. What is the name of this polygon?
A.Hexagon
B.Dodecagon
C.Nonagon
D.Octagon
Challenging
If you are at one vertex of a regular octagon and you draw all the possible straight lines (diagonals) to the other non-adjacent vertices, how many triangles will you form inside the octagon?
A.8
B.7
C.6
D.5

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