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

-For , is an exterior angle. Which of the following must be true?

-In , m = 39° while s = 6 and t = 9. Find m to the nearest degree.

- is an equilateral triangle with center O. If the distance from O to each vertex is 6 cm, how long is each side of ?

-Points A, B, C, and D are collinear so that A-B-C-D. If AB = 7, AC = 11, and CD = 6, then AD equals:

-As shown, must be an isosceles triangle.

If two parallel lines are cut by a transversal, then the interior angles on the same side of the transversal are:

Line segment has endpoint and midpoint . Find endpoint .

-In the figure, . If , , , and , find the value of x.

-In , m = 37° and m = 116°. Find the measure of exterior angle RTV.

-If AB = 3 and BC = 4 in rectangle ABCD, then the length of diagonal is 5.

The midpoint of the hypotenuse of a right triangle is equidistant from the three vertices of the triangle.

The semiperimeter s of a triangle with sides of lengths a, b, and c is given by s = (a + b + c).

As increases in size from 0° to 90°, the value of cos also increases.

-Given that 1 foot = 12 inches, find the number of square inches in one square foot.

For the parallelogram ABCD with vertices A(0, 0), B(a, 0), C( ), and D(b,c) to be a rhombus, it is necessary that .

-In , the medians are , , and . If RM = 9, SN = 12, and TP = 16, find the distance from the centroid of this triangle to the midpoint of side .

Find the exact area of a triangle whose sides measure 5, 6, and 7.

Assuming that a figure has point symmetry, what is the largest number of points of symmetry that a figure can have?

As increases from 0° to 90°, sin increases also.

A triangle has a perimeter of 40 and area of 60. Using A = rP, find the length of radius r for the inscribed circle for this triangle.