Triangle ABC has sides with lenths of 3, 6, and 8. Classify each of the transformations described as producing a triangle similar to triangle ABC or a triangle not similar to triangle ABC. Match each transformation to either similar to triangle ABC or not similar to triangle ABC.

Column A
1.
Multiply each side length by 3.5.:
Multiply each side length by 3.5.
2.
Add 12 to each side length.:
Add 12 to each side length.
3.
Subtract 2 from each side length.:
Subtract 2 from each side length.
4.
Divide each side length by 0.75.:
Divide each side length by 0.75.
Column B
a.
Not similar to triangle ABC.

b.
Similar to triangle ABC.

the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .

b and c

step-by-step explanation:

y = 3x+4

step-by-step explanation:

to find the slope

slope = (y2-y1)/ (x2-x1)

    = (-8-4)/ (-4-0)

    = -12/-4

  = 3

using the slope intercept form of a line

y= mx+b

we know the slope is 3

we know the y intercept is 4 ( the point where it crosses the y axis or x=0)

y = 3x+4

you need to rotate this triangle about the origin 270 degrees clockwise to create the full square.