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

Find the measure of each interior angle of a regular octagon.

-In , m = 90°. If AC = 6 and BC = 8, find the distance from vertex C to the midpoint of hypotenuse .

-In the figure, . If , , and , find VZ.

-In , radius chord at point C. If OR = 5 and CR = 2, find AB.

What type of triangle has vertices at (-a,0), (a,0), and (0,b)?

-In quadrilateral WXYZ, m = 43° and m = 137°. Being as specific as possible, what type of quadrilateral is WXYZ?

-If r || s and m = 108°, then:

-For the pyramid with base area B and altitude length h, the volume is .

Given that 1 yard = 3 feet, find the number of cubic feet in 1 cubic yard.

-Consider right triangle with m = 90°. Construct the circle that has its center at the midpoint M of hypotenuse and with radius length of MB. Describe the circle that results.

In , radius chord at point C. If OD = 5 and AB = 8, find OC.

-If m = 67°, b = 17.4 cm, and c = 12.5 cm, find the area of correct to the nearest square centimeter.

The exterior sides of adjacent angles 1 and 2 are perpendicular. If is the bisector of and is the bisector of , find the measure of .

-If , , and , find x.

Find the point that is the y-intercept of the line .

In regular decagon QRSTUVWXYZ, is a radius. Find m .

Find the slope m and value of b at the y-intercept (0,b) for the graph of the equation .

To find the length of apothem a in a regular hexagon with sides of length 6 cm, one could solve the equation tan 60° = .

- is tangent to at point B. If OB = 4 and AB = 3, find AC.

The midpoints of the sides of rhombus ABCD are joined in order to form quadrilateral MNPQ. Being as specific as possible, what type of quadrilateral is MNPQ?