Concepts for the Unit:
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· Parallel lines have the same slope and perpendicular lines have opposite, reciprocal slopes.
· When two lines intersect, vertical angles are congruent and adjacent angles are supplementary.
· When parallel lines are cut by a transversal, corresponding, alternate interior and alternate exterior angles and congruent.
· The length of segments formed by two non-parallel transversals cutting parallel line is proportional to the distances of the parallel lines from the intersection of the transversal.
· Parallel lines can be constructed using the properties of parallel lines cut by a transversal.
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Download Unit 6 Word Wall
Word Wall Defined:
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Adjacent angles- angles in the same plane that have a common vertex and a common side, but no common interior points.
Alternate exterior angles- pairs of angles formed when a third line (transversal) crosses 2 lines. These angles are on opposite sides of the transversal and are outside the 2 lines.
Alternate interior angles- pairs of angles formed when a third line (transversal) crosses 2 lines. These angles are on opposite sides of the transversal and are inside the 2 lines.
Coincidental- two equivalent linear equations overlap when graphed.
Complimentary angles- Two angles whose sum is 90 degrees.
Congruent- having the same size, shape and measure. Two figures are congruent if all of their corresponding measures are equal.
Equiangular- The property of a polygon whose angles are all congruent.
Equilateral- the property of a polygon whose sides are all congruent.
Intersecting lines- Two lines in a plane that cross each other. Unless two lines are coincidental, parallel or skew, they will intersect at one point.
Linear pair- adjacent, supplementary angles. Excluding their common side, a linear pair forms a straight line.
Opposite Reciprocals- reciprocals are 2 numbers that have a product of 1; opposites are positive and negative
Parallel lines- two lines that lie in the same plane and do not intersect.
Perpendicular lines- two lines that intersect at a right angle.
Reflection line- a line that is the perpendicular bisector of the segment with endpoints at a pre-image point and the image of that point after reflection.
Regular polygon- a polygon that is both equilateral and equiangular.
Same-side exterior angles (Consecutive interior)- pairs of angles formed when a transversal crosses 2 lines. These angles are on the same side of the transversal and outside the 2 lines. The angles are supplementary.
Same-side interior angles- pairs of angles formed when a transversal crosses 2 lines. These angles are on the same side of the transversal and inside the 2 lines. The angles are supplementary.
Skew lines- two lines that do not lie in the same plane (cannot be parallel or intersect).
Supplementary angles- two angles whose sum is 180 degrees.
Transversal- a line that crosses two or more lines.
Vertical angles- two nonadjacent angles formed by interesting lines or segments.
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