Question 177719: 8. (traingle)ABC has coordinates (1, 1), (3, 4), and (0, -5). Write the vertices in
matrix form.
a. Find the coordinates of the image of the triangle after a dilation of
size .
b. Find the coordinates of the image of the triangle after a translation
right 3 units and up 2 units.
c. Find the coordinates of the image of the triangle after a rotation
of 1808.
d. Find the coordinates of the image of the triangle after a reflection in
the line y = x.
Answer by Mathtut(3670)   (Show Source):
You can put this solution on YOUR website! (1, 1), (3, 4), and (0, -5).
:
a) Find the coordinates of the image of the triangle after a dilation of
size .
:lets dilate by 1/2 ....so the new coordinates would be
:(1/2,1/2),(3/2,2),(0,-5/2).......you taking 1/2 the value of x and y coordinates.
:
b) Find the coordinates of the image of the triangle after a translation
right 3 units and up 2 units.
:
new coordinates (1+3,1+2),(3+3,4+2,),(0+3,-5+2)
:.....................(4,3),(6,6),(3,-3)
:
c. Find the coordinates of the image of the triangle after a rotation
of 1808.
:
I assume this is 180 degree rotation which would be
:
(-1,-1),(-3,-4),(0,5)....you are just taking the negative values of the x and y coodinates.
:
d. Find the coordinates of the image of the triangle after a reflection in
the line y = x.
:
(1,1),(4,3),(-5,0) remember y=x and x=y so the coordinates just change places
:
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