which of the following statements are true? Select all that apply.a) The image of the point (-3,-5) under a reflection across the x-axis is (3,-5).b) The image of the point (1,9) under a reflection across the y-axis is (1,-9).c) The image of the point (8,7) under a reflection across the line y=-x is (-7,-8).d) The image of the point (-6,-6) under a reflection across the y=x is (-6,-6).e) The image of the point (2,4) under a reflection across the y-axis followed by a reflection across y=xis (-2,-2).f) Point K (3,-1)is reflected across the x-axis to creak point K'.The line x+3y=6 passes through point K'.

Answer: The answer in order are false, false, true, true, false and (3,1)Step-by-step explanation: We know that image of a point (x,y) under the y-axis is (-x,y) i.e. the sign of x coordinate changesSimilarly in case of x-axis sign of y coordinate changes i.e (x,y) is reflected to (x,-y)Also the reflection of (x,y) under the line y=x is (y,x) and the reflection of (x,y) under the line y=-x is(-y,-x)So  a) Given image of (-3,-5) under x-axis is (3,-5).Hence statement is falseb) Given image of (1,9) under y-axis is (1,-9)Hence the statement is falsec) Given image of (8,7) under y=-x is (-7,-8)i.e. the statement is trued) Given image of (-6,-6) under y=x is (-6,-6) i.e the statement is truee) Given image of (2,4) under y axis followed by x-axis is (-2,-2) Hence the statement is falsef) (3,-1) is reflected in x-axis to (3,1)Hence the point k is (3,1)