题目列表

题目内容
Angle A measures $$r$$ degrees. The complement of angle A measures $$90-r$$ degrees, and the supplement of angle A measures $$180-r$$ degrees. If the measure of angle A is greater than the measure of its complement and less than one-half the measure of its supplement, which of the following gives all possible values of $$r$$?


What is the measure of the unknown angle?
The degree measure of each angle of a regular polygon with $$n$$ sides is between $$100$$ and $$130$$. Which of the following could be the value of $$n$$?

Indicate all such integers.

Quantity A

The sum of interior angles of a pentagon plus 90°

Quantity B

The sum of interior angles of a hexagon


Quantity A

The average degree of all interior angles in a trapezoid

Quantity B

The average degree of all interior angles in a pentagon


If the sum of the degree measures of the interior angles of regular polygon P is 360 degrees more than that of regular polygon Q, then P has how many more sides than Q?
The perimeter of a regular pentagon is twice the perimeter of an equilateral triangle.

Quantity A

The side of the pentagon

Quantity B

The side of the equilateral triangle



In the figure below is a regular octagon. Each side has a length of 1. What is the area of △ABC?

The hexagon is both equilateral and equiangular.

Quantity A

$$P$$

Quantity B

$$Q$$



Quantity A

a

Quantity B

60°



Quantity A

The perimeter of ABCD

Quantity B

The sum of the lengths of diagonals AC and BD





$$x=y$$

BD∥AE

Quantity A

The area of △ACE

Quantity B

The area of △BDF



In the figure, the perimeter of quadrilateral RSTW is 34. What is the perimeter of triangle STW?
The length of the three sides of a triangle is 13, 13 and 10

Quantity A

The area of the triangle

Quantity B

65



In the figure above, triangle ACD is equilateral. Which of the following lengths can be determined from the information given?
Indicate all such lengths.
Two sides of an isosceles triangle have lengths 5 and 5.
Quantity A: The perimeter of the triangle
Quantity B: 15

What is the value of x?

Quantity A: a
Quantity B: b

In the figure above, the length of BE is 4, and the length of CF is 3, what is the perimeter of triangle ABC?

The x-coordinate of A is 0.5, the x-coordinate of B is 2, while their y-coordinates are the same.

Quantity A

x-coordinate of C

Quantity B

1.75


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