line-symmetric graph (english) - meaning, definition, translation, pronunciation

Part of Speech

Noun

Phonetic Transcription

/ˈlaɪn sɪˈmɛtrɪk ɡræf/

Meaning and Usage

A line-symmetric graph is a type of graph in mathematics that exhibits symmetry with respect to a specific line. This means that if you were to fold the graph along this line, the two halves would mirror each other exactly. Such symmetry is important in various mathematical contexts, including geometry and algebra, as it can simplify analyses and calculations.

Frequency of Use: The term is primarily used in mathematical texts and discussions rather than in everyday conversation, making it more prevalent in written contexts.

Example Sentences

1. The line-symmetric graph of the function clearly illustrates its reflective properties.

2. График, симметричный относительно линии, ясно иллюстрирует его отражающие свойства.

3. When we plotted the points, we found that the resulting line-symmetric graph confirmed our predictions about its symmetry.

4. Когда мы построили точки, мы обнаружили, что полученный график, симметричный относительно линии, подтвердил наши предсказания о его симметрии.

5. Understanding a line-symmetric graph is essential for students learning about geometric properties.

6. Понимание графика, симметричного относительно линии, важно для студентов, изучающих геометрические свойства.

Idiomatic Expressions

While "line-symmetric graph" itself does not feature heavily in idiomatic expressions, symmetry and related concepts do appear:

1. To draw a line in the sand - to set a limit that cannot be crossed.
2. It's important to draw a line in the sand when it comes to ethical considerations in research.

3. Важно провести черту в песке, когда дело касается этических соображений в исследованиях.

4. Cross the line - to go beyond what is considered acceptable.

5. By lying about his findings, he crossed the line in his research.

6. Лгя о своих находках, он перешёл черту в своем исследовании.

7. A fine line between - a small difference that can lead to different outcomes.

8. There is often a fine line between success and failure in scientific experiments.
9. Часто существует тонкая грань между успехом и неудачей в научных экспериментах.

Etymology

The term is composed of two parts: "line," from the Old French "ligne," which means string or rope, and "symmetric," derived from the Greek “symmetria,” meaning "consistent measure." The combination thus denotes a graph that has consistent reflective properties concerning a line.

Synonyms and Antonyms

Synonyms: Mirror-symmetric graph, reflective graph

Antonyms: Asymmetrical graph, irregular graph