Do Now 3/19/12 Copy HW in your planner. Be ready to copy POTW #7

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Presentation transcript:

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 8.1-8.3 Wednesday Be ready to copy POTW #7

Objective SWBAT identify parallel, perpendicular, and skew lines, and angles formed by a transversal

Section 8.3 “Line and Angle Relationships”

Intersecting Lines The point where two lines cross or intersect (intersection). N R S T M intersects line at point S

Parallel Lines Two lines that are in the same plane and do not intersect. T N R M is parallel to

Perpendicular Lines Two lines that intersect and the angles that are formed measure 90°. R N M T is perpendicular to

Skew Lines lines that do not intersect and they are not parallel. They lie in different planes. N R M T

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.

Adjacent Angles Two angles that share a side and vertex but DO NOT overlap 3 4 2 1

Vertical Angles Opposite congruent angles formed by two intersecting lines. 1 2 3 4

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

Transversal a line that intersects two lines. A T N R M B

Angle Relationships Angles that are in matching places Angles that are inside of the parallel lines Angles that are outside of the parallel lines

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

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°.

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°.

NJASK7 Prep Homework Text p. 324, #1-23 all, 28, 29