Graph a triangle (lmn) and rotate it 180° around the origin to create triangle l'm'n'
1. describe the transformation using words. make sure you refer to the characteristics and the coordinates.
2. draw a line through points l and l'and through m and m'. what do you notice about the lines you drew? do you think you would notice the same characteristics
if you drew another line through points n and n? how do you know?

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).