Kim performed a transformation on rectangle ABCD to create rectangle A'B'C'D', as shown in the figure below: What transformation did Kim perform to create rectangle A'B'C'D'?

Rotation of 270 degrees counterclockwise about the origin
Reflection across the line of symmetry of the figure
Reflection across the y‐axis
Rotation of 90 degrees counterclockwise about the origin

step-by-step explanation:

we are given

since, we have to isolate x on anyone side

so, we can move all x terms on one side

subtract both sides by 2x

add both sides by 9

divide both sides by 4

we get

c.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

.

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.