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Do Now 3/19/12 Copy HW in your planner. Be ready to copy POTW #7
Text p. 324, #1-23 all, 28, 29 Quiz sections Wednesday Be ready to copy POTW #7
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Objective SWBAT identify parallel, perpendicular, and skew lines, and angles formed by a transversal
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Section 8.3 “Line and Angle Relationships”
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Intersecting Lines The point where two lines cross
or intersect (intersection). N R S T M intersects line at point S
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Parallel Lines Two lines that are in the same plane
and do not intersect. T N R M is parallel to
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Perpendicular Lines Two lines that intersect and the angles that are formed measure 90°. R N M T is perpendicular to
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Skew Lines lines that do not intersect and they are not parallel. They lie in different planes. N R M T
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Tell whether the lines appear parallel, perpendicular, or skew.
WX and ZY WX and UV WX and XU WX and UV are skew. WX XU WX || ZY The lines are in the same plane and do not intersect. The lines are in different planes and do not intersect. The lines appear to intersect to form right angles.
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Adjacent Angles Two angles that share a side and vertex but DO NOT overlap 3 4 2 1
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Vertical Angles Opposite congruent angles formed by two intersecting lines. 1 2 3 4
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Identify the adjacent angles and the vertical angles in the diagram below.
1 3 2 4 Adjacent angles: Vertical angles: 1 & 2 1 & 4 1 & 3 2 & 3 2 & 4 3 & 4
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Transversal a line that intersects two lines. A T N R M B
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Angle Relationships Angles that are in matching places
Angles that are inside of the parallel lines Angles that are outside of the parallel lines
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Line e line d. Identify the corresponding, alternate interior, and alternate exterior angles.
1 & 5; 2 & 6; 3 & 7; 4 & 8 y e 6 5 Alternate Interior 2 & 7; 4 & 5; 8 7 Alternate Exterior 1 & 8; 3 & 6; 2 1 4 3
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Line n line p. Find the measure of the missing angles.
Angles 2, 4, and 6 are 130°. Angles 1, 3, and 5 are 50°.
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Line x line y. Find the measure of the missing angles.
Angles 2, 5, and 6 are 70°. Angles 1, 3, 4,and 7 are 110°.
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NJASK7 Prep Homework Text p. 324, #1-23 all, 28, 29
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