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

Where A = (4,-7) and M = (3,-2), point M is the midpoint of . Find the coordinates for point B.

-Let n represent the number of vertices in the base of a prism. In terms of n, how many edges does the prism have?

Find the distance between the points (3,-4) and (-2,8).

For (not shown), tangent touches the circle at point of tangency T. How are radius and tangent related?

-Where , HJKL is a trapezoid. By definition, what further requirement is necessary for HJKL to be an isosceles trapezoid?

-The pitch (or slope) of a roof is . To the nearest degree, find the measure of the smaller acute angle shown in the drawing.

-In the figure, . If , , and , find QR.

In kite WXYZ, WX = WZ and XY = YZ. If and m = 76°, find m .

-Where m = x and and are tangents to the circle, m .

Find the exact value of sec 30°.

When = 90°, a form of the Law of Cosines reduces to Heron's Formula.

has a radius length of 5 while has a radius length of 7. If OT = 12, find the number of common tangents for the two circles.

-The formula for the volume of a right circular cylinder of radius r and altitude h is given by .

-If ray BD bisects , then .

-Assuming that and in , what line segment is the altitude of this parallelogram with respect to side ?

-For , . If , , and , find BC.

In the legs of a right triangle are congruent, then the triangle is a 45°-45°-90° triangle.

Use to find the total number of diagonals for a polygon with 10 sides.

For an acute triangle, suppose that you know the measures of each angle , , and as well as the lengths a and c for two sides. State the formula that you would use to find the area A of the triangle.

For , E lies on side so that . For , what name is given to the line segment ?