题目列表

题目内容

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



Quantity A: x
Quantity B: 90

The quadrilateral ABCD shown above is a parallelogram. BD=8, AC=10

Quantity A

AB

Quantity B

BC


In triangle ABC, if ∠A=58°, ∠B=62°, then the side a, b, and c corresponding to ∠A, ∠B and ∠C, respectively, can be arranged as which of the following inequality?
If x > 0, and two sides of a certain triangle have lengths 2x+1 and 3x+4 respectively, which of the following could be the length of the third side of the triangle?
Indicate all possible lengths.

For the convex polygon above, which of the following intervals contains all possible value of x?

In a quadrilateral ABCD, AB=4, AD=7, BC=5, then the range of CD is?
What is the probability of forming a triangle when randomly selecting three numbers as three sides out of 4, 5, 7, 8, 11?
Give your answer as a fraction.
If the length of each side of an equilateral triangle were increased by 50 percent, what would be the percent increase in the area?

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