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

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:

$(x,y)\rightarrow (-x,-y)$

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:

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