Lines through non-collinear points

Given three points, there is one line that can be drawn through them if the points are collinear. If the three points are noncollinear,there are three lines that can be drawn through pairs of points. For three points, three is the greatest number of lines that can be drawn through pairs of points. Determine the greatest number of lines that can be drawn for four points, five points, and six points in a plane. Gerneralize for n points.

angles and sides of polygons

Given the following measures of a vertex angle of a regular polygon, determine how many sides it has? a. 150 degrees b. 156 degrees c. 174 degrees d. 178 degrees

Geometric mean

Prove that the length of the altitude to the hypotenuse of a right triangle is the geometric mean of the lengths of the segments into which the altitude partians the hypotenuse.

Circumferance/area of a circle

Information is given about a circle in the following table. Fill in the missing entries of the table, and show how you come up with the answer. r=radius, d=diameter,C= circumference,A=area. Give answers to two decimal places. r d C A 231.04(symbol is pie) 26.8 15 (square root sign 18 (symbol same as A)

Using Pythagoras theorem to draw exact lengths on a square lattice.

Represent the following lengths on a square lattice. Show all your work. a. square root of 5 b. square root of 17 c. square root of 18 d. square root of 29