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Given:
The figure of a triangle DEF.
To find:
The coordinate of image of given triangle after reflection over y-axis.
Solution:
The vertices of given triangle are D(1,4), E(4,3), F(2,0).
If a figure is reflected over the y-axis, then the rule of reflection is
Using this rule, we get
Therefore, the coordinates of image are D'(-1,4), E'(-4,3) and F'(-2,0).
Heptagon has unequal sides and each side is 2 more than twice the side of the smaller one before it.
Heptagon is a 2 dimensional geometric shape that has got 7 sides.
Lets say the length of smallest side is 'x' units.
Length of the second side will be 2 more than twice the smaller side so the side length will be:
Now the length of the third side will be 2 more than twice the second side that is:
Similarly, length of the fourth side will be:
Similarly, length of the fifth side will be:
Again, length of the sixth side will be
And the length of the seventh side will be
Now, perimeter of any geometric shape is the sum of the lengths of the sides:
Adding all the sides we get:
Therefore, the expression for the perimeter of the required heptagon is .