Answer:
Part A: A (6 , 11) , B (5 , 6) , C (7 , 1) , D (0 , 8)
Part B: A (-6 , -11) , B (-5 , -6) , C (-7 , -1) , D (0 , -8)
Step-by-step explanation:
* Lets study the reflection about the two axes X and Y
- The distance between the point and the axes of reflection =
the distance between its image and the axes
- The point and the its image are on opposite sides of the axes
- If a point (x , y) reflected about x axis, that means the point
will move vertically
- Moving vertically means we will change the sign of the y-coordinates
∴ The image of (x , y) after reflection about x-axis is (x , -y)
- If a point (x , y) reflected about y axis, that means the point
will move horizontally
- Moving horizontally means we will change the sign of the x-coordinates
∴ The image of (x , y) after reflection about x-axis is (-x , y)
* Now lets use the explanation above to solve our problem
- At first lets right the original point of the quadrilateral ABCD
∵ A (-6 , 11) , B (-5 , 6) , C (-7 , 1) , D (0 , 8)
Part A: The y-axis is the line of reflection
- Lets change the signs of x-coordinates in all points
∴ The new points after reflection about y-axis is:
A (6 , 11) , B (5 , 6) , C (7 , 1) , D (0 , 8)
- Note: The point D does not change because x-coordinate is 0
and there is no sign for the 0
Part B: The x-axis is the line of reflection
- Lets change the signs of y-coordinates in all points
∴ The new points after reflection about x-axis is:
A (-6 , -11) , B (-5 , -6) , C (-7 , -1) , D (0 , -8)
