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Point Q is plotted on the coordinate grid. Point P is at (20, −30). Point R is vertically above point Q. It is at the same distance from point Q as point P is from point Q. Which of these shows the coordinates of point R and its distance from point Q?

Point R is at (−40, 30), a distance of 60 units from point Q
Point R is at (−40, −10), a distance of 20 units from point Q
Point R is at (−40, −30), a distance of 60 units from point Q
Point R is at (−40, 10), a distance of 20 units from point Q

Point R is at (-40,30),  a distance of 60 units from point Q

Step-by-step explanation:

Explanation

we will use below conditions

Type of transformation                                 change to co-ordinate point

   4. horizontal translation right 'c' units         (x, y) changes to (x+ c , y)

now Given data is P( 20,-30) and in the graph Q(-40,-30)

Step1:-

Now we have to find 'R' point

Given data the point "R' is vertically above point Q so the point "Q' is moves vertically up with '60' units

now we will use the condition (1)

Q(-40,-30) is vertical translation up '60' units now changes the co-ordinate point is (-40 , -30+60)

The correct translation and The point R( -40 , 30)

Step2:-

Again in the given data  "R" is at the same distance from point Q as point P is from point Q.

so given P point is (20 , -30)

now we translation 'P' also

vertically translation up at a distance '60' units and changes the new co-ordinate (20 , -30+60) that is (20,30)  [ use above condition  is (1)]

and again horizontal translation left '60' now changes (20 - 60 ,30)[ use condition (3)]

There fore the new co-ordinate is R( -40 , 30)

Final -

Point R is at (−40, 30), a distance of 60 units from point Q

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step-by-step explanation: