The rule for the reflection
rx-axis (x, y) → (x, –y)
ry-axis (x, y) → (–x, y)
<h3>Further explanation</h3>
A reflection is an example of a transformation
Reflection is the process of mirroring each point on the geometry of a certain line.
The original figure is called the pre-image and the final figure is called the image
The image will be congruent with the pre image and the distance of the image to the mirror axis is the same as the distance of the pre image to the mirror axis
There are several reflection equations:
- The equation of reflection across the<em><u> x-axis
</u></em>
x '= x
y '= - y
can be written
![\large{\boxed{\bold{r_{x-axis}A(x,y)\rightarrow A'(x,-y)}}](https://tex.z-dn.net/?f=%5Clarge%7B%5Cboxed%7B%5Cbold%7Br_%7Bx-axis%7DA%28x%2Cy%29%5Crightarrow%20A%27%28x%2C-y%29%7D%7D)
- The equation of reflection across the <u><em>y-axis
</em></u>
x '= x
y '= -y
can be written
![\large{\boxed{\bold{r_{y-axis}A(x,y)\rightarrow A'(x,-y)}}](https://tex.z-dn.net/?f=%5Clarge%7B%5Cboxed%7B%5Cbold%7Br_%7By-axis%7DA%28x%2Cy%29%5Crightarrow%20A%27%28x%2C-y%29%7D%7D)
- The reflection equation across the line <u><em>y = -x
</em></u>
x '= - y
y '= - x
can be written
![\large{\boxed{\bold{r_{y=-x}A(x,y)\rightarrow A'(-y,-x)}}](https://tex.z-dn.net/?f=%5Clarge%7B%5Cboxed%7B%5Cbold%7Br_%7By%3D-x%7DA%28x%2Cy%29%5Crightarrow%20A%27%28-y%2C-x%29%7D%7D)
- The reflection equation across the line x = h
x '= 2h-x
y '= y
can be written
![\large{\boxed{\bold{r_{x=h}A(x,y)\rightarrow A'(2h-x,y)}}](https://tex.z-dn.net/?f=%5Clarge%7B%5Cboxed%7B%5Cbold%7Br_%7Bx%3Dh%7DA%28x%2Cy%29%5Crightarrow%20A%27%282h-x%2Cy%29%7D%7D)
- The reflection equation across the line y = k
x '= x
y '= 2k-y
can be written
![\large{\boxed{\bold{r_{y=k}A(x,y)\rightarrow A'(x,2k-y)}}](https://tex.z-dn.net/?f=%5Clarge%7B%5Cboxed%7B%5Cbold%7Br_%7By%3Dk%7DA%28x%2Cy%29%5Crightarrow%20A%27%28x%2C2k-y%29%7D%7D)
So the correct rule for reflection is:
rx-axis (x, y) → (x, –y)
ry-axis (x, y) → (–x, y)
<h3>
Learn more</h3>
the rule for the reflection
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Keywords : reflection, y-axis
Answer:
45cm^2
Step-by-step explanation:
split the shape into a triangle and rectangle between points FE. Count how many squares up on the rectangle = 2cm
squares across = 9cm
2cm x 9cm = 18cm^2
for the triangle across would be 9cm
hight would be 6cm
9cm x 6cm = 54cm/2 = 27cm^2
18cm^2 + 27cm^2 = 45cm^2
The first one is 6 1/6 feet
Answer:
840weeks
Step-by-step explanation:
7200/60=120
120×7=840weeks