Exploring Parallel and Perpendicular Lines in Algebra

This video tutorial covers section 5-9 on slopes of parallel and perpendicular lines. It begins with learning targets, including identifying and graphing these lines. A story problem illustrates parallel lines, followed by a geometry application showing a parallelogram. The video explains perpendicular lines, their negative reciprocal slopes, and applies this to identify right triangles. Finally, it teaches writing equations for lines parallel or perpendicular to a given line.

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What do parallel lines have in common?

• Same y-intercepts

• Same slopes

• Same x-intercepts

• Same lengths

Which of the following pairs of lines are parallel?

• Lines with slopes 0 and undefined

• Lines with slopes 2 and -2

• Lines with slopes 1 and 1

• Lines with slopes 3 and -1/3

What must be true for a quadrilateral to be a parallelogram?

• All sides are equal

• Diagonals are equal

• Both pairs of opposite sides are parallel

• All angles are right angles

What is the slope of a horizontal line?

• Undefined

• Zero

• Positive

• Negative

What is the relationship between the slopes of perpendicular lines?

• They are both zero

• They are undefined

• They are equal

• They are negative reciprocals

Which of the following pairs of lines are perpendicular?

• Lines with slopes 3 and -1/3

• Lines with slopes 2 and -2

• Lines with slopes 1 and 1

• Lines with slopes 0 and undefined

What is the slope of a line perpendicular to a line with slope 2?

• 1/2

• -2

• 2

• -1/2

What is the slope of the line that passes through the point (4, 10) and is parallel to the line y = 3x + 8?

• -3

• -1/3

• 1/3

• 3

What is the slope of the line that passes through the point (2, -1) and is perpendicular to the line y = 2x - 5?

• -1/2

• 1/2

• -2

• 2