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

-In rectangle ABCD, AB = 5 and BC = 4. As a square root, find the length of diagonal .

The diagonals of any rectangle are both perpendicular and congruent.

-For the points X, Y, and Z, how can you locate the point S that is equidistant from all?

-In the triangle shown, m = 90°. Find an expression for cos B (also called cos ).

In , AB = BC = 17 and AC = 16. Find the distance from the centroid of to side .

-If m = 34° and m = 46°, then m equals:

Use your calculator to find the value of sin 34.5° correct to four decimal places.

-For the concentric circles shown, is tangent to the inner circle and a chord of the outer circle. If the radius of the inside circle is 5 and of the outer circle is 13, find AB.

Considering the definitions and postulates of geometry, which of the following is a correct statement?

-Which statement is true?

. If AB = 4, XY = 10, and the area of is 7.8 , find the area of

-Using , find the approximate volume of the sphere with radius 7 inches. Provide result correct to nearest tenth of cubic inch.

Where , , and , find .

Without using a calculator, which number is larger . . . cos 56° or cos 63°?

-In right triangle ABC, . Find .

-In the proof that , what statement can you justify by the reason Identity?

In , m = 90°. What fraction represents the part of the circumference that is the length of ?

-In , RT = 12, ST = 14, and RS = 16. Where M is the midpoint of and N is the midpoint of , find the perimeter of .

In an equilateral triangle, each side measures 12 cm. Find the length of the altitude of this triangle.

In , . If AC = 6 and BC = 8, find AB.