Question

Какое из следующих утверждений верны существуют три прямые которые проходят через одну точку 2 все высоты равностороннего треугольника равны 3 если диагонали параллелограмма равны то он является ромбом

Answer 1

Я я думаю что второе верно

Answer 2

Statement 1: "There are three lines that pass through one point."

The statement is not clear and lacks context. It is not possible to determine if the statement is true or false based on the given information.

Statement 2: "All altitudes of an equilateral triangle are equal."

The statement is true. In an equilateral triangle, all three sides are equal, and the altitudes drawn from each vertex are also equal in length. This is because an equilateral triangle is also an isosceles triangle, where the base angles are equal, and the altitude bisects the base, resulting in two congruent right triangles. Therefore, the altitudes are equal in length.

Statement 3: "If the diagonals of a parallelogram are equal, then it is a rhombus."

The statement is false. While it is true that the diagonals of a rhombus are equal in length, the converse is not necessarily true. A parallelogram with equal diagonals is not always a rhombus. A rhombus is a special type of parallelogram where all sides are equal in length. However, a parallelogram can have equal diagonals without having all sides equal. Therefore, the statement is false.

Please note that the information provided is based on general knowledge and does not cite specific sources.