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

If ray BD bisects , then m

-In , m = 42° while b = 5.6 and c = 7.2. To the nearest tenth of a square unit, find the area of the triangle shown.

-If m = 90° while m and m in , an expression representing the sum ( ) is .

-To locate the circumcenter of a triangle, one must construct or draw all three perpendicular-bisectors of the sides of that triangle.

-For trapezoid MNPQ, . Also, A is the midpoint of while B is the midpoint of . If , , and , find the value of x.

Suppose that bisects right angle ABC. In turn, bisects . Find .

Name the property that justifies the following conclusion: If , then .

In (not shown), m = 90°. If a = 8, b = 15, and c = 17, find m correct to the nearest degree.

If the edges of a cube are doubled, then the volume of the new cube will be exactly twice the volume of the original cube.

-In , M and N are the midpoints of and as shown. Then:

-Given A-B-C and m while m , it follows that:

In right triangle ABC, . If and , find .

Parallel lines a, b, and c are cut by transversal d at R, S, and T (where R-S-T) and by transversal e at X, Y, and Z (where X-Y-Z). If , how are and related?

-If and are divided proportionally at points M and N (as shown), then .

-In , is a right angle while SR = 11 and ST = 13. To the nearest degree, what is the measure of ?

-In the figure, and . What method allows you to conclude that ?

-If D is the midpoint of , what name is given to in relation to ?

A cube has the volume of 45.6 . Which expression represents the length of each edge of the cube?

Chords , , and of are parallel and . Which chord lies nearest the center point P?

In rhombus MNPQ, diagonal is congruent to side . Find m .