Podcast
Questions and Answers
Which angle pairs are formed when two parallel lines are cut by a transversal?
Which angle pairs are formed when two parallel lines are cut by a transversal?
- Alternate interior angles (correct)
- Corresponding angles (correct)
- Same-side interior angles (correct)
- All of the above
Which theorem would you apply to prove that two lines are parallel if a pair of alternate interior angles are congruent?
Which theorem would you apply to prove that two lines are parallel if a pair of alternate interior angles are congruent?
- Converse of the Same-Side Interior Angles Theorem
- Converse of the Alternate Interior Angles Theorem (correct)
- Converse of the Corresponding Angles Theorem
- Converse of the Alternate Exterior Angles Theorem
Which of the following properties correctly describes perpendicular lines?
Which of the following properties correctly describes perpendicular lines?
- They have slopes that multiply to -1
- They form a right angle at the point of intersection (correct)
- They are always horizontal or vertical lines
- Their product of slopes equals 1
What would be the slope of a line that is perpendicular to the line represented by the equation $y = 3x + 2$?
What would be the slope of a line that is perpendicular to the line represented by the equation $y = 3x + 2$?
Which equation correctly represents a line in slope-intercept form if the slope is -2 and the y-intercept is 5?
Which equation correctly represents a line in slope-intercept form if the slope is -2 and the y-intercept is 5?
Flashcards
Corresponding Angles
Corresponding Angles
When two lines are cut by a transversal, the angles formed between the two lines and on the same side of the transversal.
Same-Side Interior Angles
Same-Side Interior Angles
Two angles on opposite sides of the transversal and inside the two lines. They add up to 180 degrees.
Corresponding Angles Converse
Corresponding Angles Converse
If two lines are cut by a transversal, and the corresponding angles are congruent, then the lines are parallel.
Parallel Lines Slope Theorem
Parallel Lines Slope Theorem
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Perpendicular Lines Slope Theorem
Perpendicular Lines Slope Theorem
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Study Notes
Segment 7: Angles and Parallel Lines
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SB 7-1: Focuses on identifying and naming angle pairs formed when two lines are intersected by a transversal. Also includes theorems related to angles created by parallel lines and transversal and how to apply auxiliary (helper) lines to solve problems.
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SB 7-2: Covers proving lines are parallel by using converse theorems.
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SB 7-3: Explores how perpendicular lines are used in problems and proofs. This section includes the Perpendicular Transversal Theorem.
Segment 8: Lines and Slopes
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SB 8-1: Examines the slopes of parallel and perpendicular lines to determine if two lines are parallel, perpendicular or neither.
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SB 8-2: Covers writing equations of lines, including using the Point-Slope and Slope-Intercept forms.
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