Question

(i am new to this subject of algebra)

Use the figure to answer the following questions:

( a triangle with the bottom right corner of it labeled L with (1, 1) x y coordinates. Left corner of the triangle is labeled M at the (-3, 1) coordinates. the top of the triangle is labeled K at the (-2, 5) coordinates.

A. Write a matrix to show a dilation of the polygon by a factor of 2.





B. Draw the new image above in blue ink and label it XYZ.

C. Write a matrix to show a reduction of the polygon by ½.






D. Draw the image above in red ink and label it ABC

Answer 1

you'll have to do the drawings yourself. Not too hard, I expect.

For scaling the figure, just multiply all the coordinates by the scale factor (2 or 1/2) and plot the new points.

for scaling by 2, then
(1,1) -> (2,2)
(-3,1) -> (-6,2)
and so on.

No algebra involved at all, really.