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

-For a right triangle in which , it follows that .

The graph of the line contains the points (6, 0) and (0, 4).

-The driver of an automobile leaves home and travels due east 8 miles. Turning right at an intersection, he drives due south a distance of 6 miles. How far is the driver from home?

- is separated into smaller angles by and , rays in the interior of . If m , m , and m , then m equals:

In a proof, what reason can be cited that justifies the statement ?

Where P is the perimeter of a triangle whose inscribed circle has radius length r, the area of the triangle is A = rP.

Where a, b, c, d, . . . , and n are real numbers, explain why the line has the direction vector .

Find the distance between the points (-4,3) and (5,3).

In the proportion , which numbers are the means?

In , , , and . Considering sides and angles, what classification(s) of triangle are appropriate for ?

-In the 3-4-5 right triangle, find m to the nearest degree.

-Find the area of a regular hexagon whose sides measure 6 inches each.

-In , m = 45° and OA = 6 cm. Find .

Find the measure of each interior angle of a regular polygon with 12 sides.

If each side of an equilateral triangle has length s, find an expression for the length of each of the altitudes of this triangle.

-Given that , it follows that .

-Which equation must hold true if the parallelogram shown is a rhombus?

For , name the point on the line that corresponds to .

-Find the length of slant height l of a right circular cone for which the length of radius is r = 3 cm and the altitude measures h = 4 cm.

-Where M, N, and P are the midpoints of the sides of and C is the centroid of the triangle, it follows that .