Parallel, Perpendicular and Skew Lines

Front

Define 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.

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CCSS.HSG.CO.A.1

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What are perpendicular lines?

Back

Perpendicular lines are lines that intersect at a right angle (90 degrees).

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CCSS.4.G.A.1

CCSS.HSG.CO.A.1

Front

What does it mean for two lines to be skew?

Back

Skew lines are lines that do not intersect and are not parallel. They exist in different planes.

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CCSS.HSG.CO.A.1

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Back

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CCSS.8.EE.B.6

Front

Provide an example of two perpendicular lines in a coordinate plane.

Back

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CCSS.4.G.A.1

CCSS.HSG.CO.A.1

Front

What is the relationship between skew lines and planes?

Back

Skew lines lie in different planes and do not intersect each other.

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CCSS.HSG.CO.A.1

Front

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

Back

Two lines are parallel if their slopes are equal when expressed in slope-intercept form (y = mx + b).

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CCSS.4.G.A.1

CCSS.HSG.CO.A.1

Front

What is the significance of the right angle in identifying perpendicular lines?

Back

A right angle (90 degrees) indicates that two lines are perpendicular to each other.

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CCSS.4.G.A.1

CCSS.HSG.CO.A.1

Front

Name a real-world example of parallel lines.

Back

Railroad tracks are a common example of parallel lines, as they run alongside each other without meeting.

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CCSS.4.G.A.1

CCSS.HSG.CO.A.1

Front

How can you identify skew lines in a three-dimensional space?

Back

Skew lines can be identified in 3D space if they are not coplanar and do not intersect.

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CCSS.HSG.CO.A.1