1. [35 points] Determine whether angle-angle-angle (AAA) is a valid criterion for proving triangle congruence. In this case, you know that: a. Each pair of corresponding angles have equal measure. If AAA is valid, explain why. If AAA is not valid, use GeoGebra to create a counterexample that shows the criterion failing. Show all side and angle measurements. (Hint: Use a dilation to try constructing a pair of triangles that have AAA but that are different sizes.)

List the 10 possible samples (without replacement) of size 3 3 that can be obtained from the population of five officials.

You are constructing a histogram for scores that range from 70 to 100 in whole points. frequencies range from 3 to 10; that is, every whole-point score between 60 and 100 occurs at least 3 times, and at least one score occurs 10 times. which of these would probably be the best range and size for the score intervals along the x-axis?

The position of a moving particle is given by the position function: f(t)=-9t-t^2-0.2t^3+0.1t^4 a. at what time does the particle reverse direction? b. when is the displacement positive? (round one decimal place and answer in interval notation) c. when is the displacement negative? (round one decimal place and answer in interval notation) d. when is the particle’s acceleration positive? (round one decimal place and answer in interval notation) e. when is the particle’s acceleration negative? (round one decimal place and answer in interval notation)