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

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

Where , the slope of the line through the points ( ) and ( ) is .

-Find the area of a square whose apothem has length 7 cm.

A sphere is circumscribed about a cube that has edges of 4 cm. Correct to nearest tenth of a square centimeter, find the approximate surface area for the sphere. Use the calculator value of .

In a right triangle, the side opposite the right angle is called the base of the right triangle.

What is the consumption rate for a vehicle that travels a distance of 240 miles while consuming 10 gallons of gasoline?

What type of quadrilateral has vertices with coordinates (0,0), (a,0), (a,b), and (0,b)? Be as specific as possible.

-If two planes intersect, they intersect in a(n):

-Using , find the approximate area of a circle with a diameter of length 7 inches.

-Suppose that and are complementary. If m and m , find x.

Construction of an angle's bisector can be justified (proven) by showing that two triangles are congruent.

-If m = 50°, then what fraction of the area of the circle represents the area of the sector shown?

-For the isosceles trapezoid shown, what expression represents the length of each diagonal?

How many edges does a regular octahedron have?

-In addition to being congruent, how are the diagonals of a square related?

When the midpoints of the sides of a quadrilateral are joined in order, the quadrilateral formed is always a square.

-If lines l, m, and n are concurrent, then:

-In for which , bisects . It follows that:

Write the formula for the area A of any quadrilateral that has perpendicular diagonals of lengths and .

What is the measure of the angle formed by the hands of a clock at exactly 4:20 PM?