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

-Any two polygons that are similar to each other are also congruent to each other.

-You have proved that by the reason ASA and in turn that by CPCTC. What reason allows you to further conclude that "Z is the midpoint of ?"

-For a regular pentagon, the measure of each central angle is 72°.

-In , m = 90°. If c = 17.3 inches and m = 55°, find the length a correct to tenths of an inch.

-For the right triangle with sides of lengths 5 in, 12 in, and 13 in, find the length of the radius of the inscribed circle.

- and are adjacent angles. Where m and m , we have and . Find m .

-A right circular cylinder of altitude h and with a base of radius r has lateral area L where .

-A storage tank is in the shape of a right circular cylinder. If r = 3 ft and h = 4 ft,find the exact volume of the cylinder.

Points A and B have symmetry with respect to the x-axis. If A = (4.5,-6.3), find the coordinates of point B.

Each interior angle of a regular hexagon measures 60°.

-For the concentric circles, the outer circle radius is R = 6 in while that of the inner circle is r = 3 in. Find the exact area of the annulus (ring) that is determined by the two circles.

If points A and B have symmetry with respect to the origin, find B if A = ( ).

Points A, B, and C are collinear on horizontal line segment . Point D lies above . If m is 14° larger than m , find m .

The diagonals of quadrilateral ABCD are perpendicular. If AC = 14 inches and BD = 25 inches, find the area of ABCD.

What is the locus of the midpoints of the radii of whose radius measures 4 inches?

In , . Also, . Find .

-Given the coplanar lines and the fact that , which lines must be parallel?

-For a circle, the constant ratio of the circumference C to length of diameter d is represented by the number .

-For the triangle with angle measures , , and for angles A, B, and C respectively, the area of the triangle can be calculated by using the formula .

In order to circumscribe a circle about regular hexagon ABCDEF, we bisect angle A and B to determine center O as the intersection. What is the radius length for the circle?