Question

PLEASE HELP ASAP!!!!!! Quadrilateral PQRS, with vertex P(-5, -3), undergoes a transformation to form quadrilateral P′Q′R′S′, with P′ at (5, 3).

If vertex Q is at (-4, -5), then vertex Q′ is at .

Answer 1

The vertex Q' is at (4,5)

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)`

The above transformation signifies the point reflection in the origin.

For the point P, the statement is:

`P(-5,-3)\rightarrow P'(5,3)`

So, for point Q, the transformation would be:

`Q(-4,-5)\rightarrow Q'(-(-4),-(-5))`

Since two negatives multiply to give a positive, so, we have:

`Q(-4,-5)\rightarrow Q'(4,5)`