A convex polygon is said to be regular if all of its sides have the same length and all angles between sides are the same. Let Pr denote the regular convex n-sided polygon. Thus, P3 is the equilateral triangle, P₁ is the square, P is the pentagon etc. Compute a formula for the size of any internal angle of Pn.

a Argue that the midpoint of the hypotenuse of a right triangle is equidistant from the three vertices of the triangle. Use the fact that the congruent diagonals of a rectangle bisect each other. Be sure to provide a drawing. bUse the relationship from part a to find CM, the length of the median to the hypotenuse of right ABC, in which mC=90, AC = 6, and BC = 8.

What type of trapezoid a has congruent diagonals. b has congruent base angles.

A carpenter has placed a square over an angle in such a manner that ABAC and BDCD. In the drawing, what can you conclude about the location of point D?