Geometry Unit 3- Parallel and Perpendicular Lines – Flashcards
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For parallel lines:
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the slopes are the same, m1 = m2, and the y - intercepts are different
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For perpendicular lines:
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the slopes are negative reciprocals of each other:
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Skew Lines
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-not parallel
-not in same plane
-not intersect
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Transversal
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a line that intersects two or more lines in a plane at different points and at a distinct.
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Alternate Interior <'s: ______________ interior <'s on ______________ sides of the transversal.
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-2 NON ADJACENT interior <'s on the OPPOSITE sides of transversal.
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Same-Side Interior 's (consecutive int. 's): Two ____________ <'s on the same side of the transversal.
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Two INTERIOR <'s on the same side of the transversal.
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Corresponding <'s: Two angles in ______________ ______________ relative to the two lines.
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Two angles in SAME POSITION relative to the two lines.
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Alternate Exterior<'s: ______________ interior <'s on ______________ sides of the transversal.
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-2 NON ADJACENT exterior <'s on the OPPOSITE sides of transversal.
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Name the Corr. <'s:
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CONGRUENT
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Name the Alt Ex. <'s:
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CONGRUENT
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Name the Alt Int.<'s:
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CONGRUENT
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Name the S.S.int. <'s:
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SUPPLEMENTARY
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Perpendicular Lines form
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Right Angles
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Vertical Angles are
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Congruent
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Right Angles are
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Congruent
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Same-Side <'s form the letter
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C
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Corr. <'s form the letter
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F
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Alt Int.<'s form the letter
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Z
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Corresponding Angles Postulate
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If a transversal intersects two parallel lines, then corresponding angles are congruent.
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Alternate Interior Angles Theorem
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If a transversal intersects two parallel lines, then alternate interior angles are congruent.
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Same-Side Interior Angles Theorem
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If a transversal intersects two parallel lines, then same-side interior angles are supplementary.
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Converse of the Corresponding Angles Postulate
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If two lines and a transversal form corresponding angles that are congruent, then the two lines are parallel.
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Converse of the Alternate Interior Angles Theorem
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If two lines and a transversal form alternate interior angles that are congruent, then the two lines are parallel.
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Converse of the Same-Side Interior Angles Theorem
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If two lines and a transversal form same-side interior angles that are supplementary, then the two lines are parallel.
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Triangle Exterior Angle Theorem
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The measure of each exterior angle of a triangle equals the sum of the measures of its two remote interior angles.
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If two lines are parallel to the same line,
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then they are parallel to each other.
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In a plane, if two lines are perpendicular to the same line,
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then they are parallel to each other.
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Triangle Angle-Sum Theorem
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The sum of the measures of the angles of a triangle is 180.
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Equilateral Triangle
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Three equal sides
Three equal angles, always 60°
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Isosceles Triangle
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Two equal sides
Two equal angles
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Scalene Triangle
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No equal sides
No equal angles
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Acute Triangle
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All angles are less than 90°
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Right Triangle
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Has a right angle (90°)
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Obtuse Triangle
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Has an angle more than 90°
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exterior angle of a polygon is an angle
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formed by a side and an extension of an adjacent side
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remote interior angles.
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the two nonadjacent interior angles
