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Here are the answers for the blanks in each statement:

1. **If two lines in the same plane are perpendicular to the same line, then they are** **parallel**.
2. **If a transversal passes through two parallel lines, and is perpendicular to one of the lines, then it is** **perpendicular** **to the other line**.
3. **If \( a \) is parallel to \( b \) and \( b \) is parallel to \( c \), then \( a \) is** **parallel** **to \( c \)**.
4. **If two lines are perpendicular, then they form** **4** **right angles**.

Let me know if you need further explanation, or have any questions!

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Here are five additional related questions for practice:

1. If two lines are parallel, can a third line be perpendicular to both?
2. What is the relationship between two lines perpendicular to the same line?
3. How many right angles are formed when two perpendicular lines intersect?
4. If line \( a \) is parallel to line \( b \), and line \( b \) is parallel to line \( c \), what is the relation of line \( a \) to line \( c \)?
5. Can two lines be both parallel and perpendicular? Why or why not?

**Tip:** In geometry, understanding the definitions of parallel and perpendicular lines is fundamental for proving more complex relationships and properties of shapes.

Complete the following statements:

1. If two lines in the same plane are perpendicular to the same line, then they are ______.
2. If a transversal passes through two parallel lines, and is perpendicular to one of the lines, then it is ______ to the other line.
3. If a is parallel to b and b is parallel to c, then a is ______ to c.
4. If two lines are perpendicular, then they form ______ right angles.

This page provides a solution for completing statements related to parallel and perpendicular lines, focusing on properties such as transversals, perpendicularity, and the formation of right angles. Ideal for students in Grades 6-8.

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