Caleb draws triangle ABC on the coordinate grid. Then he transforms triangle ABC, producing triangle A'B'C'. Triangles ABC and A'B'C' are similar, but not congruent. Which transformation of triangle ABC could produce this result?

А) dilate by a factor of 3
B)reflect over the line y= x
C)rotate 180° around the origin
D)stretch vertically by a factor of 3 ​

Step-by-step explanation:

the line of

step-by-step explanation:

this can be solved first with pythagorean theorem, which tells us to square both legs of the triangle and sum it. this will be equal to the square of the hypotenuse.

the hypotenuse is the side "opposite" the 90 degree angle, which is x.

so we can write using pythagorean theorem,

simplifying:

to further simplify this radical, we need to use the property  

thus