What is the relationship between the slopes of two perpendicular lines?

The slopes of two perpendicular lines are negative reciprocals of each other, meaning if one line has a slope of $$m$$ , the other will have a slope of $$-\frac{1}{m}$$ .

How do you convert the standard form of a line $$Ax + By = C$$ to slope-intercept form?

To convert to slope-intercept form, solve for $$y$$ : $$y = -\frac{A}{B}x + \frac{C}{B}$$ .

What is the significance of the y-intercept in a linear equation?

The y-intercept is the point where the line crosses the y-axis, represented by the value of $$b$$ in the slope-intercept form $$y = mx + b$$ .

If angle 2 is 70 degrees, what is the measure of angle 1 if they are supplementary?

If angle 2 is 70 degrees, angle 1 is 110 degrees because supplementary angles add up to 180 degrees.

What is the formula for finding the distance between two points (x1, y1) and (x2, y2)?

The distance $$d$$ is calculated using the formula $$d = \frac{{\text{sqrt}((x2 - x1)^2 + (y2 - y1)^2)}}$$ .

What is the definition of a linear equation?

A linear equation is an equation that represents a straight line when graphed, typically in the form $$y = mx + b$$ .

How do you determine if two lines are parallel using their equations?

Two lines are parallel if their slopes are equal. For example, in the equations $$y = mx + b$$ and $$y = mx + c$$ , the lines are parallel.

What is the relationship between the angles formed by two intersecting lines?

The angles formed by two intersecting lines are called vertical angles, and they are always equal.

Geo Exam 1: Review 3 - Parallel, Perpendicular, & Proofs Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What is the definition of parallel lines?

Back

Parallel lines are lines in a plane that never meet; they are always the same distance apart and have the same slope.

2.

FLASHCARD QUESTION

Front

What is the definition of perpendicular lines?

Back

Perpendicular lines are lines that intersect at a right angle (90 degrees). The slopes of two perpendicular lines are negative reciprocals of each other.

3.

FLASHCARD QUESTION

Front

What is the slope-intercept form of a linear equation?

Back

4.

FLASHCARD QUESTION

Front

How do you find the slope between two points (x1, y1) and (x2, y2)?

Back

5.

FLASHCARD QUESTION

Front

What is the equation of a horizontal line?

Back

6.

FLASHCARD QUESTION

Front

What is the equation of a vertical line?

Back

7.

FLASHCARD QUESTION

Front

If two lines have the same slope, what can be said about their relationship?

Back

If two lines have the same slope, they are parallel and will never intersect.

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