Question

Number of Vertices and Interior Angles of a Polygon

Materials needed: match sticks, paste or glue, paper Consider each piece of matchstick as the side of a polygon.


Procedure:
1) Using three pieces of matchsticks form a polygon. Paste it on the space provided.

a) How many sides does it have? _________
b) How many vertices does it have? _______
c) How many interior angles does it have? _______

2) Using four pieces of match sticks form a polygon. Paste it on the space provided.

a) How many sides does it have? _________
b) How many vertices does it have? _______
c) How many interior angles does it have? _______

3) Using five pieces of matchsticks form a polygon. Paste it on a piece of paper.

a) How many sides does it have? _________
b) How many vertices does it have? _______
c) How many interior angles does it have? _______

4) Using six pieces of matchsticks form a polygon. Paste it on a piece of paper.
a) How many sides does it have? _________
b) How many vertices does it have? _______
c) How many interior angles does it have? ______


Were you able to observe a pattern? ____________



Complete the sentence below:

A polygon with n sides has ___ number of vertices and ______ number of interior angles.

Answer 1

Answer:

1(a)three

(b)three

(c)three

2(a)four

(b)four

(c)four

3(a)five

(b)five

(c)five

4(a)six

(b)six

(c)six

same,same

Answer 2

1) Using three pieces of matchsticks to form a polygon. Paste it into the space provided.

a) How many sides does it have? THREE

b) How many vertices does it have? THREE

c) How many interior angles does it have? THREE

2) Using four pieces of match sticks to form a polygon. Paste it into the space provided.

a) How many sides does it have? FOUR

b) How many vertices does it have? FOUR

c) How many interior angles does it have? FOUR

3) Using five pieces of matchsticks to form a polygon. Paste it on a piece of paper.

a) How many sides does it have? FIVE

b) How many vertices does it have? FIVE

c) How many interior angles does it have? FIVE

4) Using six pieces of matchsticks to form a polygon. Paste it on a piece of paper.

a) How many sides does it have? SIX

b) How many vertices does it have? SIX

c) How many interior angles does it have? SIX

Were you able to observe a pattern? Yes, I observed that n no. of matchsticks can form a polygon with n sides.

Complete the sentence below:

A polygon with n sides has n number of vertices and n number of interior angles.