Math Grade 7 - Parallel Lines & Transversals

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Questions and Answers

What are parallel lines?

  • Lines that never intersect (correct)
  • Lines that intersect
  • Lines that are curved
  • Lines that meet at a point

What is a transversal line?

A line that intersects two or more lines.

What are corresponding angles?

Angles in the same position on the parallel lines in relation to the transversal.

What are alternate interior angles?

<p>Angles between two parallel lines and on opposite sides of a transversal.</p> Signup and view all the answers

What are consecutive interior angles?

<p>Angles that are on the same side of the transversal and inside the two parallel lines.</p> Signup and view all the answers

What is an angle?

<p>Formed by two rays with the same endpoint.</p> Signup and view all the answers

What is the vertex of an angle?

<p>The common endpoint of an angle.</p> Signup and view all the answers

How can angles be named?

<p>Using just the vertex if it is the only angle located at that vertex.</p> Signup and view all the answers

What are vertical angles?

<p>Two angles that are across from each other, formed by intersecting lines.</p> Signup and view all the answers

What are adjacent angles?

<p>Two angles that share a common vertex and side.</p> Signup and view all the answers

What are complementary angles?

<p>Two angles in which the sum of their measures is 90 degrees.</p> Signup and view all the answers

What are supplementary angles?

<p>Two angles in which the sum of their measures is 180 degrees.</p> Signup and view all the answers

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Study Notes

Parallel Lines and Transversals

  • Parallel lines are defined as two lines that will never intersect, often identified by arrows on the lines.
  • A transversal line is one that intersects two or more lines at different points.
  • Corresponding angles are located in the same position on the parallel lines relative to the transversal and are always congruent.
  • Alternate interior angles are found between two parallel lines on opposite sides of the transversal and are also congruent.
  • Consecutive interior angles occupy the same side of the transversal and are positioned between two parallel lines.

Basic Angle Concepts

  • An angle is formed by two rays that share a common endpoint, known as the vertex.
  • The vertex of an angle is represented by the middle letter when naming the angle.

Angle Naming and Relationships

  • Angles can be named using just the vertex if it is the unique angle located at that vertex.
  • Vertical angles occur across from each other when two lines intersect and are always congruent.
  • Adjacent angles are two angles that share a common vertex and a side, positioned next to each other.

Angle Measurements

  • Complementary angles are pairs of angles whose measures add up to 90 degrees.
  • Supplementary angles are pairs of angles whose measures total 180 degrees.

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