Answer:
Values of c and d are (-6) and (-1)
Step-by-step explanation:
To solve this question we will take a point of the right angle triangle A first.
Let the point which makes the right angle is (3, 2).
When reflected over the x-axis rule for the reflection will be
(x, y) → (x, -y)
So, the image of the point will be (3, -2)
We can see that final image of this point in the triangle B is (-3, -3).
So the translation from (3, -2) to (-3, -3) will be,
(3+c, -2+d) → (-3, -3)
⇒ 3 + c = -3
⇒ c = -6 [Shift by 6 units to the left]
and -2 + d = -3
⇒ d = -3 + 2
⇒ d = -1 [Shift by 1 unit down]
Therefore, the values of c and d are (-6) and (-1).
Transformation involves changing the position of a shape.
The values of c and d are -6 and 1, respectively.
One of the vertices of triangle A is:
[tex]\mathbf{A = (3,5)}[/tex]
When reflected across the x-axis, we have:
[tex]\mathbf{A' = (3,-5)}[/tex]
The corresponding point to A' is:
[tex]\mathbf{A" = (-3,-6)}[/tex]
So, the equation to calculate c and d is:
[tex]\mathbf{(3 + c, -5 + d = -3, -6)}[/tex]
Rewrite as:
[tex]\mathbf{(3 + c= -3 ,\ -5 + d = -6)}[/tex]
Solve for x and d
[tex]\mathbf{(c= -6 ,\ d = -1)}[/tex]
Hence, the values of c and d are -6 and 1, respectively.
Read more about transformations at:
https://brainly.com/question/13801312
