The coordinat of point p on a coordinate grid are(-5, -6). Point p is deflected across the y axis to obtain point q and across the x axis to obtain point r

Respuesta :

Point p is deflected across the y axis to obtain point q (5,-6) and across the x axis to obtain point r (-5,6).

What are coordinates?

A point on a grid has two numbers to identify its position. These numbers are known as coordinates. Coordinates are always written as the number of steps across first, then the number of steps up or down. Grids have two axes. The horizontal axis is called the x-axis and the vertical axis is called the y-axis.

We know that,

if point (x, y) deflected across y axis then the y coordinate remain same but the polarity of x gets change then

r(x, y) → (-x, y)

Similarly, if point (x, y) deflected across x axis then the x coordinate remain same but the polarity of y gets change then

r(x, y) → (x,-y)

Now, we have : p = (-5,-6)

As Point p is deflected across the y-axis to obtain point q , thus

r(-5,-6) → (5,-6)

point p is deflected across the x-axis to obtain point r, thus

r(-5,-6) → (-5,6)

Thus,  q=(5,-6) and r=(-5,6).

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