Defining transformations
luka tried to define a rotation about point c.
. for the center point c, the image c' is at the same point as c.
• the distances between each pre-image and its image are all equal.
for a point p that is not at c, a counterclockwise rotation of about point c creates point p', such
that cp=cp and mzpcp = 0.
which counterexample shows that luka's definition does not define a rotation?

Triangle inequality theorem state if each set of three numbers can be the lengths of the sides of a triangle. 1. 9, 8, 22. 2. 5,10,12. 3. 7,10,22. 4. 4,11,12. 5. 11,9,10. 6. 10,4,19. 7. 3,12,10. 8. 4,3,2. 9. 6,5,13. 10. 7,12,20. me .

Consider a bag that contains 220 coins of which 6 are rare indian pennies. for the given pair of events a and b, complete parts (a) and (b) below. a: when one of the 220 coins is randomly selected, it is one of the 6 indian pennies. b: when another one of the 220 coins is randomly selected (with replacement), it is also one of the 6 indian pennies. a. determine whether events a and b are independent or dependent. b. find p(a and b), the probability that events a and b both occur.

What is the slope of any line parallel to the line 8x+9y=3 in the standard (x,y) coordinate plane?