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

-If bisects of , then point D must be the midpoint of .

In , one side of is diameter while a second side is chord . If AC = PB = 5, find the length of chord .

For sets R and T, it follows that is the same as:

-A right prism has height h and perimeter P for its base. Write the formula for the lateral area L of the prism.

-If m = 75° in , then m = 275°.

One property of proportions takes the form, "If , then ." Use this property to complete this statement. Because , it follows that:

To construct an angle that measures 60°, one begins by constructing perpendicular lines.

-For the regular pentagon shown, find the measure of a central angle.

An angle inscribed in a semicircle is an obtuse angle.

On a baseball diamond (a square), the distance from home plate to first base is 90 feet. Find the exact distance from home plate to second base.

-In the figure, m = 90° and m = 27°. Find the length of b correct to nearest tenth of a unit.

If and the slope of line is , then the slope of is .

Describe the locus of points in space that are at distance 2 cm from point C.

-In the figure, bisects of . If , , and , find WZ.

Of the upper-case letters R, S, and T, which one has line symmetry?

- is inscribed in P in such a way that m m m . Which angle of has the greatest measure?

-If two lines in space do not meet, they must be parallel.

-For a regular square pyramid, each side of the base is 6 inches long. If the altitude of the pyramid measures 9 inches, find the length of each lateral edge correct to the nearest tenth of an inch.

The simplified form of the ratio "6 inches to 1 foot" is 6:1.

-In the figure, a || b and transversal t. If and , find x.