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

-In the isosceles triangle shown, m = 30° while AC = AB = 10 inches. Find the area of the triangle.

-In the figure, intersects two sides of as shown. If , what relationship must hold true?

-A number of lines are concurrent if they have exactly one point in common.

-For equilateral triangle with center O, (if drawn) would be an apothem.

-Find the centroid of the triangle shown, which has vertices at ( ), ( ), and ( ).

Find the total number of diagonals for a concave hexagon.

-If m and m , find m .

-A right rectangular prism has a base that measures 6 in by 8 in. If the volume of the "box" is 360 , find the height of the prism.

-The adjacent angles shown are complementary. If m while m , find an expression for the measure of the right angle in terms of x and y.

In the Pythagorean Theorem (where ), the number c represents the length of the hypotenuse of a right triangle.

-In , m = 37° and m = 53°. What type of triangle is ?

-If , then it can be proved that:

-If R-S-T on line RT and while , then ST measures:

Correct to tenths, find the value of the expression 34° + 34°.

-Given that , the two triangles are similar. Which side of corresponds to side of the second triangle?

For the right triangle , m = 90°. From incenter O, the radius OW has length 2. What is the distance from point O to vertex Z of the triangle?

-For the regular square pyramid shown, each base edge is 10 cm long. If the pyramid has an altitude of 12 cm, find the length l of the slant height..

In , . If , find .

The surface area of a regular hexahedron is 102 . To the nearest tenth of a centimeter, what is the length of each edge of the hexahedron?

When a quadrilateral is inscribed in a circle, each pair of opposite angles is complementary.