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

-In right triangle RST, m = 90°. If RS = 13 and ST = 17, find m to the nearest degree.

Determine the point on the line : (x,y,z) = ( , , ) + r(1, ,- ) for which z = .

In regular hexagon ABCDEF, is the apothem to side . If CD = 12, find OM

-The diagonals of any rhombus are perpendicular.

In a 30°-60°-90° right triangle with hypotenuse of length 12 inches, the shorter leg measures 6 inches.

For an equilateral triangle, the incenter and circumcenter are the same point.

-In the right triangle shown, m = 90° What calculator entry allows you to find , the measure of ?

-Where C is the circumference of a circle and r is its length of radius, the approximate value of the ratio C : r is:

-For the segment shown, let the center of the circle be point O. If the area of the related sector bounded by and and arc is 45 while the area of is 28 , find the area of the segment bounded by and .

-What is the slope of the line shown?

-In a prism, the two bases are parallel to each other and congruent to each other.

Where P and Q are statements, the compound statement "P or Q" is known as a(n):

What is the value of x at the point of intersection of the lines and ?

What construction can be performed to find the locus of points equidistant from the sides of ?

-If m = 37°, find m .

A regular hexagon has a point of symmetry. What is the smallest measure for an angle of rotation that has the image trace (fall over) the given hexagon?

The line through the points (a, 3) and (4, -1) is perpendicular to the line . Determine the value of A)

-In the figure, . If and , find .

-From a distance of 345 feet across a flat meadow, the top of a tower is seen through an angle of elevation of 27°. To the nearest foot, how tall is the tower?

-In , m = 90°. If s = 4 and t = 5, find the exact value of cos S.