Question

Запитання 2 Знайди правильнi твердження. варіанти відповідей А) Під час переміщення кути мiж прямими не зберігаються. Б) Паралельне перенесення є переміщенням. В) Існують геометричні фігури, які мають безліч осей симетрії. Г) Цетральна симетрія є переміщенням. Д) При паралельному перенесеннi вiдстанi мiж точками не зберiгаються. ​

Answer 1

Ответ:

Б) Паралельне перенесення є переміщенням.

В) Існують геометричні фігури, які мають безліч осей симетрії.

Г) Цетральна симетрія є переміщенням

Answer 2

Identifying Correct Statements about Geometry

A) During the movement, angles between straight lines are not preserved. B) Parallel translation is a movement. C) There are geometric figures that have an infinite number of axes of symmetry. D) Central symmetry is a movement. E) During parallel translation, the distances between points are not preserved.

Let's verify each statement using search results.

B) Parallel translation is a movement. - The statement that "Parallel translation is a movement" is correct. In geometry, a parallel translation is a transformation that moves every point of a figure or a space by the same distance in a specified direction. This is a fundamental concept in geometry and is considered a type of movement or transformation [[1]].

D) Central symmetry is a movement. - The statement that "Central symmetry is a movement" is incorrect. Central symmetry, also known as point reflection, is not considered a movement in geometry. It is a transformation that maps every point to its reflection through a fixed point, called the center of symmetry. This transformation does not involve movement in the traditional sense, as it reflects points across a central point rather than translating them to a new location [[2]].

Therefore, the correct statements are: - B) Parallel translation is a movement. - C) There are geometric figures that have an infinite number of axes of symmetry.

I hope this helps! If you have any more questions or need further clarification, feel free to ask.