Answer:
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The transformation that would map the parallelogram onto itself is the rotation of 180 degrees about the point (2, 2)
<h3>What is a
transformation?</h3>
Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, translation, rotation and dilation.
Rigid transformation is the transformation that does not change the shape or size of a figure. Examples of rigid transformations are <em>translation, reflection and rotation</em>.
The transformation that would map the parallelogram onto itself is the rotation of 180 degrees about the point (2, 2)
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Amount of grass in the backyard is 0.641 square yards
<h3>
What is a square?</h3>
Any 2-dimensional figure bounded by 4 sides whose all sides are equal and all the angles are 90° is called a square.
<h3>How to find the area of a square?</h3>
Area of a square can be found by squaring the length of one of its sides.
<h3>What is a rectangle?</h3>
Any 2-dimensional figure bounded by 4 sides whose opposites sides are equal and parallel and all the angles are 90° is called a rectangle.
<h3>How to find out area of a rectangle?</h3>
Area of a rectangle can be found by multiplying its length by its breadth.
<h3>How to calculate the area in the given problem?</h3>
The given figure is a combination of multiple figures.
- 1 square of length 3 cm on top
- 1 rectangle in the middle whose length is ( 2 + 3) cm = 5 cm, and breadth is 3 cm
- 1 larger rectangle at the bottom whose length is 10 cm and breadth is 3 cm.
- We will have to calculate these areas and sum up the areas to get the entire area.
- Area of the square at the top = ( 3 x 3) cm² = 9 cm²
- Area of the middle rectangle = ( 5 x 3) cm² = 15 cm²
- Area of the bottom rectangle = (10 x 3) cm² = 30 cm²
∴ Total area of the backyard = ( 9 + 15 + 30) cm² = 54 cm²
Amount of grass in the backyard = (54 x 0.109² ) square yards
= 0.641 square yards ( 1 cm = 0.109 yards)
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The answer is A.
The plusses mean that they're positive.
8-2=6