## Questions and Answers

What is the definition of slope?

Parallel lines intersect each other.

False

What does it mean for two lines to be perpendicular?

Two lines that intersect to form right angles.

The inverse of a fraction is called a ______.

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What are opposite reciprocals?

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What are complementary angles?

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What are supplementary angles?

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What is a linear pair?

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What are vertical angles?

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Congruent angles have different measures.

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What is a transversal line?

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What is the slope-intercept form of a line?

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What is point-slope form?

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What are alternate interior angles?

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What are alternate exterior angles?

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What are same side interior angles?

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What are same side exterior angles?

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What are corresponding angles?

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I cannot use _________ when proving lines are parallel.

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What is the symbol for parallel lines?

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What is the symbol for perpendicular lines?

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What is the definition of a perpendicular line through a point on the line construction?

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What is the definition of a perpendicular line through a point NOT on the line construction?

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What is the definition of parallel lines construction?

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## Study Notes

### Slope and Lines

- Slope measures the steepness of a line on a graph, calculated as rise over run (m = (y-y)/(x-x)).
- Parallel lines have the same slope and never intersect.
- Perpendicular lines intersect at right angles with opposite reciprocal slopes.

### Angle Relationships

- Complementary angles sum to 90 degrees.
- Supplementary angles sum to 180 degrees.
- Linear pairs consist of adjacent angles with non-common sides as opposite rays, always supplementary.
- Vertical angles are formed by intersecting lines and are opposite congruent angles.

### Transformations and Forms

- The reciprocal of a fraction is obtained by flipping it.
- Opposite reciprocals are two numbers whose product equals -1 (e.g., 3/2 and -2/3).
- Slope-intercept form of a line is represented as y = mx + b, where m is the slope and b is the y-intercept.
- Point slope form is given by y - y₁ = m(x - x₁), where m is the slope, and (x₁, y₁) is a specific point on the line.

### Angle Relationships with Transversals

- Alternate interior angles are congruent and located on opposite sides of the transversal.
- Alternate exterior angles are also congruent and found outside the parallel lines on opposite sides of the transversal.
- Same side interior angles are supplementary and found on the same side of the transversal.
- Same side exterior angles are supplementary as well and located outside on the same side of the transversal.
- Corresponding angles are congruent and are found in the same position relative to the intersection of the transversal and the parallel lines.

### Symbols and Constructions

- The parallel symbol is represented as ||.
- The perpendicular symbol resembles an upside-down "T".
- Certain angle properties cannot be used to prove lines are parallel, specifically vertical angles and linear pairs.

### Construction Techniques

- Methods for constructing perpendicular lines through a point on or not on a given line are fundamental in geometry.
- Techniques for constructing parallel lines are essential for maintaining equidistance between lines.

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## Description

Test your knowledge on essential concepts related to parallel and perpendicular lines with these flashcards. Learn the definitions, slopes, and characteristics that define these geometric relationships.