Math Problem Statement

Четырёхугольник является ___, если его противоположные ___ попарно равны.

Solution

The question in the image asks to complete the statement:

"Четырёхугольник является ___, если его противоположные ___ попарно равны."
Translation:
"A quadrilateral is a ___ if its opposite ___ are pairwise equal."

Solution:

  1. The statement refers to a parallelogram because:
    • One of the key properties (свойство) of a parallelogram is that opposite sides (противоположные стороны) are equal in length.

Completed Sentence:

Четырёхугольник является параллелограммом, если его противоположные стороны попарно равны.

Final Answer:

  • First blank: параллелограммом
  • Second blank: стороны

Would you like an explanation on properties of parallelograms or how to identify their signs and characteristics?


5 Related Questions:

  1. What are the properties of a parallelogram?
  2. How do you prove that a quadrilateral is a parallelogram?
  3. What are the signs (признаки) of a parallelogram?
  4. How is a parallelogram different from a trapezoid?
  5. How do the diagonals behave in a parallelogram?

Tip: In a parallelogram, not only are opposite sides equal, but opposite angles are also equal!

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Math Problem Analysis

Mathematical Concepts

Properties of Parallelograms
Quadrilaterals

Formulas

Opposite sides of a parallelogram are equal

Theorems

If opposite sides of a quadrilateral are equal, it is a parallelogram.

Suitable Grade Level

Grade 7-8