Answer:
Point R is at (-40,30), a distance of 60 units from point Q
Step-by-step explanation:
<u>Explanation </u>
<u>we will use below conditions</u>
<u>Type of transformation</u> <u> change to co-ordinate point</u>
- vertical translation up 'd' units (x, y) changes to (x, y +d)
- vertical translation down 'd' units (x, y) changes to (x, y-d)
- horizontal translation left 'c' units (x, y) changes to (x- c, y)
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:-
<u>Now we have to find 'R' point</u>
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 <u>vertical translation up '60' units </u>now changes the co-ordinate point is (-40 , -30+60)
<u>The correct translation and The point R( -40 , 30)</u>
<u>Step2:-</u>
Again in the given data "R" is at the same distance from point Q as point P is from point Q.
<u>so given P point is (20 , -30)</u>
now we translation 'P' also
<u>vertically translation up at a distance '60' units</u> and changes the new co-ordinate (20 , -30+60) that is (20,30) [ use above condition is (1)]
and again<u> horizontal translation left '60</u>' now changes (20 - 60 ,30)[ use condition (3)]
There fore the new co-ordinate is R( -40 , 30)
<u>Final answer:-</u>
Point R is at (−40, 30), a distance of 60 units from point Q
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