Question

2. Определи истинность или ложность утверждений. а) Если при пересечении двух прямых секущей, внутренние накрест лежащие углы равны, то данные прямые являются параллельными. b) Если прямая пересекает одну из параллельных прямых, то она пересекает и вторую прямую. c) Две прямые, перпендикулярные третьей прямой, являются перпендикулярными друг другу. d) Через точку, не лежащую на прямой, можно прохести лишь одну прягую, параллельную этой прямой.

Answer 1

Ответ:

Все вопросы верны.,.,.,

Answer 2

Ответ:

правильный отвееет 1 вый

Answer 3

Verifying Geometric Statements

a) If the interior angles on the same side of a transversal intersecting two lines are equal, then the lines are parallel. - This statement is true. According to the corresponding angles postulate, if the interior angles on the same side of a transversal are equal, then the lines are parallel [[1 #1]].

b) If a line intersects one of two parallel lines, then it intersects the other line. - This statement is true. It is a property of parallel lines that any line intersecting one of two parallel lines will intersect the other line as well [[1 #1]].

c) Two lines perpendicular to a third line are perpendicular to each other. - This statement is true. If two lines are both perpendicular to a third line, then they are parallel to each other, and since they are also perpendicular to the third line, they must be perpendicular to each other as well [[1 #1]].

d) A single line parallel to a given line can be drawn through a point not on the line. - This statement is false. Through a point not on a given line, only one line can be drawn parallel to the given line [[1 #1]].

These statements have been verified based on geometric principles and properties.

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