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(4, 6) is the center of the circle above.

Quantity A

The radius of the circle

Quantity B

6


P, Q, and T are three distinct points in a plane.

Quantity A

The number of lines in the plane that pass through points P, Q and T

Quantity B

1



In the figure above, line k is parallel to line m. What is the value of y?
Give your answer as a decimal.

In the figure above, if m || k and s=t+30, then t=

Lines l and m below are parallel. Find the values of y.

Quantity A

x

Quantity B

y



In the figure below, AC = BC. Find the values of x and y.

In the figure below, what is the relationship between x, y, and z?

Quantity A

The sum of interior angles of a square

Quantity B

The sum of any four interior angles of a pentagon


What is the maximum possible number of interior angles that are right angles of a convex decagon (10-sided polygon)?

Quantity A

The sum of the measures of the interior angles of a square

Quantity B

The sum of the measures of 4 of the interior angles of a regular pentagon



The figure above is a regular octagon. A diagonal of an octagon is any line segment connecting two nonadjacent vertices.

Quantity A

The number of diagonals of the octagon that are parallel to at least one side of the octagon

Quantity B

The number of diagonals of the octagon that are not parallel to any side of the octagon



The figure below is a regular hexagon.

Quantity A

a

Quantity B

b



The figure shows a regular 9-sided polygon inscribed in a circle with center O.

Quantity A

The perimeter of the regular polygon

Quantity B

3 times the perimeter of triangle OAB



The figure above is a regular hexagon

Quantity A

Length of AC

Quantity B

Length of BE



In the figure, a regular 8-side polygon is inscribed in the circle with Center O. What is the value of x?
Between two similar pentagons, the length of each side of the smaller pentagon is half of the larger one. If the area of the larger pentagon is $$\frac{1}{3}$$, then the area of the smaller pentagon is?

Quantity A

∠ABD

Quantity B

∠BCD + ∠CDB


In △ABC, point D lies between A and C, and BD is an altitude. The degree measure of which of the angles of △ABC, if any, could be greater than 90?


Quantity A

Length of AB

Quantity B

Length of BC


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