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1 answer:
The coordinates of the point N after the transformation is (-7,-4)
Explanation:
Given that the coordinates of the point N is (7,4)
The point is rotated 180° counterclockwise about the origin.
We need to determine the coordinates of the point N after the rotation 180° counterclockwise about the origin.
<u>Coordinates of the image:</u>
The transformation rule to rotate the point 180° counterclockwise about the origin is given by
Substituting the point (7,4), we get,
Thus, the coordinates of the point N after the transformation is (-7,-4)
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Answer:
Step-by-step explanation:
The octagon is irregular, meaning not all sides have equal length. However, we can break it up into other shapes to find the area.
The octagon shown in the figure is a composite figure as it's composed of other shapes. In the octagon, let's break it up into:
- 4 triangles (corners)
- 3 rectangles (one in the middle, two on top after you remove triangles)
<u>Formulas</u>:
- Area of rectangle with length
and width
:
- Area of triangle with base
and height
:
<u>Area of triangles</u>:
All four triangles we broke the octagon into are congruent. Each has a base of 2 and a height of 2.
Thus, the total area of one is
The area of all four is then units squared.
<u>Area of rectangles</u>:
The two smaller rectangles are also congruent. Each has a length of 3 and a width of 2. Therefore, each of them have an area of units squared, and the both of them have a total area of
units squared.
The last rectangle has a width of 7 and a height of 3 for a total area of units squared.
Therefore, the area of the entire octagon is