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Questions and Answers
What is the sum of two supplementary angles?
What is the sum of two supplementary angles?
When two lines intersect, what is the relationship between vertically opposite angles?
When two lines intersect, what is the relationship between vertically opposite angles?
What type of angles are formed by two lines intersecting at a 90° angle?
What type of angles are formed by two lines intersecting at a 90° angle?
What is the purpose of a transversal in geometry?
What is the purpose of a transversal in geometry?
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What is the relationship between corresponding angles when a transversal intersects parallel lines?
What is the relationship between corresponding angles when a transversal intersects parallel lines?
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What is the sum of two co-interior angles when a transversal intersects parallel lines?
What is the sum of two co-interior angles when a transversal intersects parallel lines?
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What is the purpose of measuring angles in geometry?
What is the purpose of measuring angles in geometry?
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What is the first step in drawing and interpreting graphs of angles and lines?
What is the first step in drawing and interpreting graphs of angles and lines?
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What is the sum of angles on a straight line?
What is the sum of angles on a straight line?
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What is the term for two angles whose sum is 180°?
What is the term for two angles whose sum is 180°?
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When two lines intersect to form equal angles of 90°, what can be said about the lines?
When two lines intersect to form equal angles of 90°, what can be said about the lines?
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What is the term for angles on opposite sides of the transversal but inside the two intersected lines?
What is the term for angles on opposite sides of the transversal but inside the two intersected lines?
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What is the sum of co-interior angles when a transversal intersects two parallel lines?
What is the sum of co-interior angles when a transversal intersects two parallel lines?
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What is the term for a line that intersects two or more other lines?
What is the term for a line that intersects two or more other lines?
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When two lines intersect, what can be said about the vertically opposite angles?
When two lines intersect, what can be said about the vertically opposite angles?
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What is the first step in drawing and interpreting graphs of angles and lines?
What is the first step in drawing and interpreting graphs of angles and lines?
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Study Notes
Geometry of Straight Lines
Angle Relationships
- A full revolution is 360°, and a half revolution is 180°.
- When two angles on a straight line sum to 180°, they are called supplementary angles.
- Angles on a straight line always sum to 180°.
- Supplementary angles are two angles whose sum is 180°.
- Perpendicular lines intersect to form equal angles of 90°.
- When two lines intersect, the vertically opposite angles are equal.
- When a line forms two equal angles where it meets another line, these lines are perpendicular.
Perpendicularity and Supplementary Angles
- When a line forms two equal angles where it meets another line, these lines are perpendicular.
- Each angle in this case is 90° because the sum of the angles on a straight line is 180°.
Vertically Opposite Angles
- When two straight lines intersect, the vertically opposite angles are equal.
Transversals and Parallel Lines
- A transversal is a line that intersects two or more other lines.
- When a transversal intersects parallel lines, the corresponding angles are equal.
- Alternate angles are equal when the lines are parallel.
- Co-interior angles are angles on the same side of the transversal and inside the two intersected lines.
- The sum of co-interior angles is 180°.
Drawing and Interpreting Graphs of Angles and Lines
- Identify the lines and angles formed by the intersection of lines.
- Measure angles using a protractor to check their properties.
- Determine relationships between angles using the properties of parallel lines and transversals.
- Identify supplementary angles by checking angles on a straight line and verifying their sum is 180°.
- Identify vertically opposite angles by checking when two lines intersect.
- Identify corresponding angles by looking for angles in matching corners when a transversal intersects parallel lines.
- Identify alternate angles by finding pairs of angles on opposite sides of the transversal and inside the parallel lines.
- Identify co-interior angles by checking pairs of angles on the same side of the transversal and inside the parallel lines; their sum should be 180°.
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Description
Learn about angle relationships on straight lines, including supplementary angles, full and half revolutions, and perpendicular lines.