๐ Topic Summary
When a line (called a transversal) intersects two or more other lines, it creates several angles. The relationships between these angles depend on whether the lines intersected by the transversal are parallel. If the lines are parallel, special angle pairs are formed, such as corresponding angles, alternate interior angles, alternate exterior angles, and same-side interior angles. Understanding these relationships is crucial for solving geometric problems and proving lines are parallel.
๐ง Part A: Vocabulary
Match the terms with their definitions:
- Term: Corresponding Angles
- Term: Alternate Interior Angles
- Term: Alternate Exterior Angles
- Term: Same-Side Interior Angles
- Term: Transversal
- Definition: Angles that lie on the same side of the transversal and in corresponding positions relative to the two lines.
- Definition: Angles that lie on opposite sides of the transversal and between the two lines.
- Definition: Angles that lie on opposite sides of the transversal and outside the two lines.
- Definition: Angles that lie on the same side of the transversal and between the two lines.
- Definition: A line that intersects two or more other lines.
๐ Part B: Fill in the Blanks
A __________ is a line that intersects two or more lines. When the lines intersected are __________, __________ angles are equal. Also, __________ interior angles are equal. Finally, __________ interior angles are supplementary.
๐ก Part C: Critical Thinking
Explain how you can use the properties of angles formed by a transversal to determine if two lines are parallel. Provide a specific example.