Questions and Answers
What do you call coplanar lines that do not intersect?
What are lines that do not intersect and are not coplanar called?
What do you call planes that do not intersect?
What is the term for a line that intersects two or more coplanar lines at two different points?
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What are angles that lie between two transversals that intersect the same line called?
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What do you call an angle that lies in the region that is not between two transversals that intersect the same line?
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What are pairs of consecutive interior angles formed by a transversal? Give an example.
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What is the term for angles formed on opposite sides of a transversal and between two lines?
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What do you call the angles formed on opposite sides of a transversal but outside the two lines?
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What do you call the pairs of angles that are in the same relative position when a transversal crosses two lines?
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What is the formula for finding the slope of a nonvertical line containing two points?
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What describes how a quantity is changing over time?
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What is the form of a linear equation that indicates both slope and y-intercept?
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What equation is represented in the form y - y1 = m(x - x1)?
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What term describes the distance between two lines measured along a perpendicular line?
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Study Notes
Parallel and Skew Lines
- Parallel lines are coplanar and do not intersect.
- Skew lines do not intersect and are not coplanar.
Parallel and Intersecting Planes
- Parallel planes do not intersect with each other.
Transversals and Angles
- A transversal intersects two or more coplanar lines at different points.
- Interior angles lie between two transversals intersecting the same line.
- Exterior angles are located outside the region between two transversals.
Interior Angles Relations
- Consecutive interior angles are pairs of angles formed when a transversal intersects two lines; for example, angles 8 and 1, and angles 7 and 2.
- Alternate interior angles are pairs on opposite sides of the transversal but within the two lines; examples include angles 1 and 7, and angles 2 and 8.
Exterior Angles Relations
- Alternate exterior angles are pairs of angles outside the two intersected lines; examples include angles 5 and 3, and angles 6 and 4.
- Corresponding angles are pairs located in the same relative position at each intersection; for example, angles 5 and 1, 8 and 4, 6 and 2, and 7 and 3.
Slope and Rate of Change
- The slope of a nonvertical line can be calculated using a specific formula that incorporates two points.
- Rate of change describes how a quantity varies over time.
Linear Equations
- The slope-intercept form of a linear equation is given and characterized by a slope and y-intercept.
- Point-slope form of a linear equation is defined as y - y1 = m(x - x1).
Distance Between Lines
- The concept of equidistant lines states that the distance measured perpendicularly between two parallel lines remains constant.
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Description
Test your knowledge of key concepts from Glencoe Geometry Chapter 3 with these flashcards. This quiz covers essential terminology including parallel lines, skew lines, and transversals, which are foundational to understanding geometry. Challenge yourself and enhance your vocabulary in this critical area of mathematics.
