Which of the following is not a polygon?

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• 
• 
• 

Answer explanation

A polygon is a simple closed curve made of line segments. The figure in first option has a curved part. Hence, it is not a polygon.

Tags

CCSS.2.G.A.1

How many sides does a Hexagon have?

• 4

• 5

• 6

• 7

Answer explanation

A hexagon has six sides, six vertices and six angles.

Tags

CCSS.2.G.A.1

Identify the shape given in the figure.

• Hexagon

• Triangle

• Octagon

• Pentagon

Answer explanation

The given shape is a simple closed curve made of 8 line segments and 8 vertices hence it is an octagon.

Tags

CCSS.2.G.A.1

The minimum number of line segments needed to form a polygon is ___

• 1

• 2

• 3

• 4

Answer explanation

The minimum number of line segments required to form a polygon is 3. The shape formed from 3 line segments is called a triangle.

Which of the following is not a quadrilateral?

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• 
• 
• 

Answer explanation

In options 1, 2, and 3 we see closed curves made of 4 line segments hence the shape shown in these options are quadrilaterals. In option 4 a closed curve is formed by joining 5 line segments hence it is not a quadrilateral, it is a pentagon.

Tags

CCSS.2.G.A.1

How many diagonals can be drawn in a pentagon?

• Five

• Six

• Ten

• Nine

Answer explanation

When we join two non adjacent vertices in a polygon we get a diagonal. In a pentagon we can draw five diagonals as shown in the figure.

How many triangles are there in the given figure?

• 12

• 10

• 8

• 5

Answer explanation

There are total 12 triangles in the given figure.