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:
- 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:
- What are the properties of a parallelogram?
- How do you prove that a quadrilateral is a parallelogram?
- What are the signs (признаки) of a parallelogram?
- How is a parallelogram different from a trapezoid?
- 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