Plane Geometry

Practice Questions

GRE Quantitative Reasoning › Plane Geometry

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1

If the shortest side of a right triangle has length and its hypotenuse has length , what is the length of the remaining side?

2

An obtuse Isosceles triangle has two sides with length and one side length . The length of side ft. If the length of half the length of side , what is the perimeter of the triangle?

3

For , Chelsea can get either a diameter pizza or two diameter pizzas. Which is the better deal?

4

Quantity A

The perimeter of a square with a diagonal of 12 inches.

Quantity B

The perimeter of a rectangle with a diagonal of 10 inches and longer sides that are three times the length of its shorter sides.

5

A square is inscribed in a circle. The diameter of the circle is 10 feet. What is the area of the square?

6

An obtuse Isosceles triangle has two sides with length and one side length . The length of side ft. If the length of half the length of side , what is the perimeter of the triangle?

7

If the shortest side of a right triangle has length and its hypotenuse has length , what is the length of the remaining side?

8

A square is inscribed in a circle. The diameter of the circle is 10 feet. What is the area of the square?

9

Quantity A

The perimeter of a square with a diagonal of 12 inches.

Quantity B

The perimeter of a rectangle with a diagonal of 10 inches and longer sides that are three times the length of its shorter sides.

10

Circlechord1

O is the center of the circle above.

The circumference of the circle above is .

Quantity A: The length of .

Quantity B:

Which of the following is true?

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