Question

Find the point that is symmetric to the point (-7,6) with respect to the x axis, y axis and origin

Answer 1

`\begin{gathered} a)(-7,-6)\text{ } \\ b)\text{ (7,6)} \\ c)\text{ (7,-6)} \end{gathered}`

Step-by-step explanation:

a) We want to get the point symmetric to the given point with respect to the x-axis

To get this, we have to multiply the y-value by -1

Mathematically, we have the symmetric point as (-7,-6)

b) To get the point that is symmetric to the given point with respect to the y-axis, we have to multiply the x-value by -1

Mathematically, we have that as (7,6)

c) To get the point symmetric with respect to the origin, we multiply both of the coordinate values by -1

Mathematically, we have that as:

(7,-6)