Do Now 4/4/13 Take out your HW from last night. Take out your HW from last night. Text p “Hands-On Lab” Text p “Hands-On Lab” Copy HW in your planner. Copy HW in your planner. Text p. 324, #1-23 all, 28, 29 Text p. 324, #1-23 all, 28, 29 Quiz sections Monday Quiz sections Monday Get a ruler and a pack of crayons from the ledge. Get a ruler and a pack of crayons from the ledge.
Homework Text p “Hands-On Lab” 1) Angles 1, 4, 5, 8 = 55° 1) Angles 1, 4, 5, 8 = 55° Angles 2, 3, 6, 7 = 125° Angles 2, 3, 6, 7 = 125° 2) a. Angles 3, 4, 5, 6 2) a. Angles 3, 4, 5, 6 b. Angles 1, 2, 7, 8 b. Angles 1, 2, 7, 8 c. Angles 3 & 6 are equal. c. Angles 3 & 6 are equal. Angles 4 & 5 are equal. Angles 4 & 5 are equal. d. They have the same measure. d. They have the same measure. e. Angles 3 & 7; Angles 2 & 6; e. Angles 3 & 7; Angles 2 & 6; Angles 4 & 8 Angles 4 & 8 f. Alternate interior angles are congruent. Alternate exterior angles are congruent. Corresponding angles are congruent. f. Alternate interior angles are congruent. Alternate exterior angles are congruent. Corresponding angles are congruent. “Think and Discuss” 1) answers vary 1) answers vary 2) Angles 1, 4, 5, 8 = 55° 2) Angles 1, 4, 5, 8 = 55° Angles 2, 3, 6, 7 = 125° Angles 2, 3, 6, 7 = 125° 3) All angles measure 90° 3) All angles measure 90°
Objective SWBAT identify parallel, perpendicular, and skew lines, and angles formed by a transversal 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). R T S intersects line at point S M N
Parallel Lines Two lines that are in the same plane and do not intersect. R T M N is parallel to
Perpendicular Lines Two lines that intersect and the angles that are formed measure 90°. R T M N is perpendicular to
Skew Lines lines that do not intersect and they are not parallel. They lie in different planes. R T M N
Tell whether the lines appear parallel, perpendicular, or skew. The lines are in the same plane and do not intersect. WX and ZY WX || ZY The lines are in different planes and do not intersect. WX and UV are skew. The lines appear to intersect to form right angles. WX and XU WX XU
Adjacent Angles Two angles that share a side and vertex but DO NOT overlap
Vertical Angles Opposite congruent angles formed by two intersecting lines
Identify the adjacent angles and the vertical angles in the diagram below Adjacent angles: 1 & 2 1 & 3 3 & 4 2 & 4 Vertical angles: 1 & 4 2 & 3
Transversal a line that intersects two lines. R T M N A B
Angle Relationships Angles that are in matching places Angles that are outside of the parallel lines Angles that are inside of the parallel lines
e d y Line e line d. Identify the corresponding, alternate interior, and alternate exterior angles Corresponding 1 & 5; 2 & 6; 3 & 7; 4 & 8 Alternate Interior 2 & 7; 4 & 5; Alternate Exterior 1 & 8; 3 & 6;
Angles 2, 4, and 6 are 130°. Angles 1, 3, and 5 are 50°. Line n line p. Find the measure of the missing angles.
Angles 2, 5, and 6 are 70°. Angles 1, 3, 4,and 7 are 110°. Line x line y. Find the measure of the missing angles.
Homework Text p. 324, #1-23 all, 28, 29 Text p. 324, #1-23 all, 28, 29 NJASK7 Prep