Which rules represent a transformation that maps one shape onto to another to establish their congruence? Select all that apply.
A. A dilation by a scale factor of 3 about the origin.

B. A translation to the right 2 and down 6.

C. A reflection across the line y = 2.

D. A counter-clockwise rotation of 90 degrees about the origin.

E. A horizontal wretch by a factor of 2 about the origin.

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).