Respuesta :
Answer:
The vertex Q' is at (4,5)
Step-by-step explanation:
Given:
Quadrilateral PQRS undergoes a transformation to form a quadrilateral P'Q'R'S' such that the vertex point P(-5,-3) is transformed to P'(5,3).
Vertex point Q(-4,-5)
To find vertex Q'.
Solution:
Form the given transformation occuring the statement in standard form can be given as:
[tex](x,y)\rightarrow (-x,-y)[/tex]
The above transformation signifies the point reflection in the origin.
For the point P, the statement is:
[tex]P(-5,-3)\rightarrow P'(5,3)[/tex]
So, for point Q, the transformation would be:
[tex]Q(-4,-5)\rightarrow Q'(-(-4),-(-5))[/tex]
Since two negatives multiply to give a positive, so, we have:
[tex]Q(-4,-5)\rightarrow Q'(4,5)[/tex]
