Types of Polygons | Understanding Elementary Shapes | Assessment | English | Grade 6

Which of the following is a polygon?

• Figure A

• Figure B

• Figure C

• Figure D

Answer explanation

Figure 4 is a polygon as it is made up of line segments. Figure 1 is not a closed figure hence it is not a polygon Figure 2 and figure 3 are not entirely made up of line segments hence they are not polygons.

Tags

CCSS.2.G.A.1

How many diagonals can be drawn in a triangle ?

• 2

• 3

• 1

• 0

Answer explanation

Option 4 is correct as triangle has 0 diagonals.

In a regular polygon ______

• All sides are equal

• All angles are equal

• All sides and angles are equal

• Opposite sides and angles are equal

Answer explanation

A polygon with equal sides and equal angles is called a regular polygon. Hence, option 3 is correct.

Tags

CCSS.2.G.A.1

Which of the following is a hexagon?

• Figure A

• Figure B

• Figure C

• All of these

Answer explanation

Option 4 is correct as all the polygons shown have 6 sides hence all the figures are hexagon

Tags

CCSS.2.G.A.1

If there is an n-sided polygon, we can calculate its number of diagonals by the formula ____

• [n(n-3)]/3

• [n(n-2)]/2

• [n(n-3)]/2

• [n(n-2)]/3

Answer explanation

Option 3 is correct as formula of diagonal of a polygon is [n(n-3)]/2

A diagonal is a line segment that joins any two non-adjacent vertices of the polygon and is not a side of the polygon. Find the number of diagonals in the given figure?

• 11

• 14

• 12

• 13

Answer explanation

The number of diagonals in heptagon are 14. Namely, AC, AD, AE, AF, BG, BF, BE, BD, CG, CF, CE, DG, DF and EG are the diagonals of given heptagon

Tags

CCSS.HSG.CO.A.1