Writing Patterns in Geometry
Trending Questions
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- 4x+1
- 3x+1
- 2x+1
- 2x
Question 4
The diameter of a circle is a line, which joins two points on the circle and also passes through the centre of the circle. (In the adjoining figure AB is a diameter of the circle; C is its centre). Express the diameter of the circle (d) in terms of its radius (r).
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- 3n
- 2n
- n
- 4n
Question 11(ii)
Fig. below gives a matchstick pattern of triangles. As in Exercise 11(a) above, find the general rule that gives the number of matchsticks in terms of the number of triangles.
Find the rule, which gives the number of matchsticks required to make the following matchstick patterns. Use a variable to write the rule.
A pattern of letter Z as
Question 11(i)
Look at the following matchstick pattern of squares. The squares are not separate. Two neighbouring squares have a common matchstick. Observe the patterns and find the rule that gives the number of matchsticks in terms of the number of squares. (Hint: If you remove the vertical stick at the end, you will get a pattern of Cs.)
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- 4l
- 2l
- 3l
- 6l
Find the pattern followed in figures given below and number of matchsticks to be used in the figure
Question 1(iii)
Find the rule, which gives the number of matchsticks required to make the following matchsticks patterns. Use a variable to write the rule
A pattern of letter U as
- square
- line
- rectangle
- triangle
Question 1(vii)
Find the rule, which gives the number of matchsticks required to make the following matchstick patterns. Use a variable to write the rule.
A pattern of letter A as
Question 1(iv)
Find the rule, which gives the number of matchsticks required to make the following matchsticks patterns. Use a variable to write the rule
A pattern of letter V as
- 4l
- 5l
- 3l
- 2l
Use the given algebraic expression to complete the table of number patterns.
If the number of digits formed is taken to be , the number of segments needed to form n digits is given by the algebraic expression appearing on the right of each pattern.
How many segments are needed to form digits of the kind
If the side of equilateral triangle is , then express the perimeter of the triangle in terms of .
- 2
- 3
- 4
- 5
Five times a number divided by another number
Find the rule which gives the number of matchsticks required to make the following matchstick patterns. Use a variable to write the rule. A pattern for letter
Question 1(v)
Find the rule, which gives the number of matchsticks required to make the following matchstick patterns. Use a variable to write the rule.
A pattern of letter E as
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Observe the pattern given below
Then term at nth position will be given by expression
n∗(n−1)