Question

Какие из следующих утверждений не верны? 1.существует три прямые которые проходят через одну точку2.все высоты равностороннего треугольника равны.3.если диагонали параллелограмма равно, то он является ромбом

Answer 1

1 и 2 правильные ответы

Answer 2

Statement Analysis:

1. There are three lines that pass through a single point. 2. All altitudes of an equilateral triangle are equal. 3. If the diagonals of a parallelogram are equal, then it is a rhombus.

Let's analyze each statement to determine which ones are incorrect.

Statement 1: There are three lines that pass through a single point.

I couldn't find any relevant information to confirm or refute this statement. Therefore, I cannot determine if this statement is true or false based on the available search results.

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

This statement is true. In an equilateral triangle, all three sides are equal, and all three altitudes are equal as well. The altitude of a triangle is a line segment drawn from a vertex perpendicular to the opposite side. Therefore, all altitudes of an equilateral triangle are equal.

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

This statement is false. A parallelogram with equal diagonals is not necessarily a rhombus. A rhombus is a special type of parallelogram where all sides are equal. However, a parallelogram can have equal diagonals without having all sides equal. Therefore, the statement is incorrect.

To summarize: 1. The truth value of the statement "There are three lines that pass through a single point" could not be determined based on the available search results. 2. The statement "All altitudes of an equilateral triangle are equal" is true. 3. The statement "If the diagonals of a parallelogram are equal, then it is a rhombus" is false.

Please let me know if there is anything else I can help you with!