XYZ is transformed on a coordinate plane to obtain its congruent image X'Y'Z'. Which of the following statements could be true? I. X'Y'Z is the translated image of XYZ
II. X'Y'Z is the reflected image of XYZ
III. X'Y'Z is the rotated image of XYZ

the one on the bottom left

step-by-step explanation:

all of the other ones have a specific pattern

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).