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:
![(x,y)\rightarrow (-x,-y)](https://tex.z-dn.net/?f=%28x%2Cy%29%5Crightarrow%20%28-x%2C-y%29)
The above transformation signifies the point reflection in the origin.
For the point P, the statement is:
![P(-5,-3)\rightarrow P'(5,3)](https://tex.z-dn.net/?f=P%28-5%2C-3%29%5Crightarrow%20P%27%285%2C3%29)
So, for point Q, the transformation would be:
![Q(-4,-5)\rightarrow Q'(-(-4),-(-5))](https://tex.z-dn.net/?f=Q%28-4%2C-5%29%5Crightarrow%20Q%27%28-%28-4%29%2C-%28-5%29%29)
Since two negatives multiply to give a positive, so, we have:
![Q(-4,-5)\rightarrow Q'(4,5)](https://tex.z-dn.net/?f=Q%28-4%2C-5%29%5Crightarrow%20Q%27%284%2C5%29)