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

-Prisms and pyramids are types of polyhedrons.

-If the area of quadrilateral ABCD is 27 and the area of is 11 , find the area of pentagon ABXCD.

-In quadrilateral ABCD, . Use the Slope Formula to state the relationship between variables a, b, c, d, etc.

If and are vertical angles with m = 2x 5 and m = 39, then x = 17.

For a given circle, tangent is drawn from external point E so that point T is the point of tangency. Where E-R-S, secant intersects that circle at points R and S. Find an expression that is equivalent to .

Quadrilateral ABCD quadrilateral HJKL. If , , , and , find x.

-If the base of the pyramid shown is a square, then the pyramid is a regular square pyramid.

-Point M is the midpoint of . If AM = 12 and AB = 5x 6, find x:

-In , m = 103° and m = 77°. Which statement is false?

In a regular polygon with center O and a side , m = 72°. If AB = 4.6 inches, find the perimeter of the regular polygon.

To show analytically that two lines are parallel, one applies the Slope Formula.

Find the length of a side for a regular hexagon whose apothem has length cm.

In Cartesian space, the direction of the line is represented by the vector or any nonzero multiple of this vector.

-In , and . How are and related?

-For a regular pentagonal prism, the base has an apothem of length 8.2 cm and a side of length 12 cm. If the altitude of the prism is 15 cm, find the volume of the pentagonal prism. [Hint: For the base, recall that .]

-For , is an altitude with respect to base . In relation to , what word is used for the length of ?