What is quantitative geometry

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In the GRE Math test, the quantitative comparison problems cover a wide range of topics. For example, you may have to work with circles, rectangles, triangles, cylinders, or cubes on a geometry question.

In a question of quantitative comparison, the problem lists sets A and B, which can be numbers, variables, equations, words, numbers, and so on. Your job is to compare these two quantities and see if they are larger, if they are the same, or if the relationship cannot be determined.

The following practice questions ask you to compare angles in a triangle and a square.

Practice questions

  1. AC >> CB >> FROM . Which amount is larger? A: b

    B: a

    A. The set A is larger.

    B. The amount B is larger.

    C.

    The quantities are the same.

    D. It cannot be determined from the information given.

    ABCD is a square. Which amount is larger?

  2. A: angle D.

    B: 55 degrees A.

    The set A is larger.

    B. The amount B is larger.

    C.

    The quantities are the same.

    D. It cannot be determined from the information given.

    Answers and explanations A. The set A is larger.

The longest side of a triangle is opposite to the largest angle.

  1. Hence is

    b >>

    a >> c . So the set A is larger and choice (A) is the correct answer. C. The quantities are the same. The interior angles of a quadrilateral add up to 360 degrees. We know three angles: Your sum is: So the sizes are the same, choice (C).