# Name the point after each of these transformations. a. T(3,-2)(5,3) B. ry=x(-1,4) c. ry=0(3,-5) d. R(0.0),90*(1,2) please note that the asterick sign is for degree cannot find on labtop...

Name the point after each of these transformations.

a. T(3,-2)(5,3)

B. ry=x(-1,4)

c. ry=0(3,-5)

d. R(0.0),90*(1,2) please note that the asterick sign is for degree cannot find on labtop

e. R(3,-4),90*(2,3) please note that the asterick sign is for degree cannot find on labtop

### 1 Answer | Add Yours

(a) Given a point P(5,3) and a translation T(3,-2) the image point P' has coordinates (8,1). The translation sends every point in the plane 3 units right and 2 units down. T:(x,y)-->(x+3,y-2)

(b) Given a point P(-1,4) reflected across the line y=x, the image point is P'(4,-1). A reflection across the line y=x interchanges the x and y coordinates of the point.

R:(x,y)-->(y,x)

(c) Given a point P(3,-5) reflected across the line y=0, the image point is P'(3,5). This is a reflection over the x-axis -- the x-coordinate does not change and the y-coordinate changes sign.

R:(x,y)-->(x,-y)

(d) Given a point P(1,2) rotated about the origin `90^@ ` counterclockwise. (If the angle is positive, rotation is counterclockwise; if the angle is negative rotate clockwise.) The image point is P'(-2,1).

R:(x,y)-->(-y,x)

(e) Given a point P(2,3) rotated about the point (3,-4) `90^@ ` clockwise the image point is P'(-4,-5)

**Sources:**