Exam 12: Geometry Problems: Complementary Angles, Collinear Points, and Similar Triangles

-In , , , and are medians. If the centroid of the triangle is point C, find the relationship between TC and PC.

What is the name of this property? If , then .

If central angle intercepts minor arc of , then m = m .

-A regular square pyramid has base edges of 9 inches and an altitude length of 12 inches. Find the volume of the pyramid.

-In the figure, . Also, , , and . Find TX.

To circumscribe a circle about regular hexagon ABCDEF, the center can be determined by the intersection of diagonals and .

In (not shown), is a right angle. Where M is a point on and N is a point on , how are and related?

Where c is the length of the hypotenuse and a and b are the lengths of the legs, what equation relates these lengths?

-In kite MNPQ, . For this kite, name another pair of congruent sides.

-In trapezoid RSTV, . If SR = TV = 6 cm, ST = 4 cm, and m = 60°, find the area of RSTV.

What is the locus of points in a plane that are equidistant from points X and Y?

-The total area of a right circular cylinder is . If the height of the cylinder is 4,find the length of the radius.

The graphs of the equations and are the same line.

-A circle has the area 126 . To the nearest tenth of a centimeter, find the length of its diameter.

-Consider the noncollinear points A, B, C, and D. By using two points at a time, find the total number of lines that they determine.

and are supplementary. is acute. What type of angle is ?

-In addition to being congruent, how are the diagonals of a square related?

-The fourth vertex of the parallelogram shown is ( ).

Write the formula for the measure c of the central angle of a regular polygon of n sides.

A square has an area of 13 . What is the exact length of each side of the square?