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

In where is a right angle, it follows that , and .

-For a circle, and are tangents from an external point D. How are and related?

In a triangle with angle measures A, B, and C, the Law of Sines can be written .

sin 0° = 0 and sin 90° = 1.

If and , then:

Find the perimeter of rhombus RSTV in which the lengths of diagonals are RT = 24 in and SV = 10 in.

-If the diagonals of a rhombus measure 10 cm and 24 cm, what is the perimeter of the rhombus?

Where , , and , determine the Pythagorean Triple generated by and .

-Where m = 90°, the solid of revolution determined by revolving right triangle about leg is a right circular cone.

-In , . If MQ = 10, RP = 4, and MR = 8, find the area of .

Explain why the plane is a plane of symmetry for the sphere .

According to the Distance Formula, the distance between the points ( ) and ( ) is .

Two sides of have lengths 5 inches and 6 inches. The length of the remaining and longest side is x inches. Determine all integer (whole number) values of x so that is an obtuse triangle.

For an isosceles triangle with length of leg s and length of base b, the perimeter P is given by P = 2s +b.

-For a triangular piece of cardboard of uniform thickness, what is another name for the centroid?

-Given that , CSSTP leads to the extended proportion .

-For the isosceles triangle shown, which of the following must be true?

-For an isosceles trapezoid, what relationship exists for the diagonals of the trapezoid?

On a rectangular wall WXYZ under construction, a diagonal serves as a brace. If YX = 8 ft and WX = 12.5 ft, find the measure of the angle formed by and .Provide answer to the nearest tenth of a degree.

Find the midpoint of the line segment that joins (2a,0) and (0,2b).