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Do Now 4/4/13. Take out your HW from last night. Text p. 320-321 “Hands-On Lab” Copy HW in your planner. Text p. 324, #1-23 all, 28, 29 Quiz sections 8.1-8.3 Monday Get a ruler and a pack of crayons from the ledge. 1) Angles 1, 4, 5, 8 = 55 ° Angles 2, 3, 6, 7 = 125°
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Do Now 4/4/13 • Take out your HW from last night. • Text p. 320-321 “Hands-On Lab” • Copy HW in your planner. • Text p. 324, #1-23 all, 28, 29 • Quiz sections 8.1-8.3 Monday • Get a ruler and a pack of crayons from the ledge.
1) Angles 1, 4, 5, 8 = 55° Angles 2, 3, 6, 7 = 125° 2) a. Angles 3, 4, 5, 6 b. Angles 1, 2, 7, 8 c. Angles 3 & 6 are equal. Angles 4 & 5 are equal. d. They have the same measure. e. Angles 3 & 7; Angles 2 & 6; Angles 4 & 8 f. Alternate interior angles are congruent. Alternate exterior angles are congruent. Corresponding angles are congruent. “Think and Discuss” 1) answers vary 2) Angles 1, 4, 5, 8 = 55° Angles 2, 3, 6, 7 = 125° 3) All angles measure 90° HomeworkText p. 320-321 “Hands-On Lab”
Objective • SWBAT identify parallel, perpendicular, and skew lines, and angles formed by a transversal
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
WX and XU WX and UV WX and ZY WX XU WX || ZY WX and UV are skew. Tell whether the lines appear parallel, perpendicular, or skew. 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 4 3
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. d Corresponding 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 xline y. Find the measure of the missing angles. Angles 2, 5, and 6 are 70°. Angles 1, 3, 4,and 7 are 110°.
Homework NJASK7 Prep • Text p. 324, #1-23 all, 28, 29