AIM: What angle pairs are formed by transversals? SMART START: Draw the diagram & answer the following questions below. GE H J I 3.What type of special.

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Presentation transcript:

AIM: What angle pairs are formed by transversals? SMART START: Draw the diagram & answer the following questions below. GE H J I 3.What type of special angle pair are angles A and E? 4.If the m<B= 100 , what is the m<G? 5.If the m<H=100 , what is the m<I? Line BC Point D Vertical Angles m<G = 100  m<I = 80 

What angle pairs are formed by transversals? TRANSVERSAL: a line that intersects two or more coplanar lines at different points 1)VERTICAL ANGLES 2)SUPPLEMENTARY ANGLES

COPLANAR LINES 1)PARALLEL LINES 2)LINES THAT INTERSECT IN A POINT (includes Perpendicular Lines) exactly one exactly one

SKEW LINES 1)DO NOT INTERSECT 2)ARE NOT COPLANAR DO TRANSVERSALS INTERSECT SKEW LINES? NO, BECAUSE TRANSVERSALS ONLY INTERSECT LINES THAT ARE COPLANAR.

ANGLES FORMED BY TRANSVERSALS 1. CORRESPONDING ANGLES LOOK FOR THE “F”

ANGLES FORMED BY TRANSVERSALS 2. ALTERNATE EXTERIOR ANGLES

ANGLES FORMED BY TRANSVERSALS LOOK FOR THE “Z” 3. ALTERNATE INTERIOR ANGLES

ANGLES FORMED BY TRANSVERSALS 4. SAME-SIDE INTERIOR ANGLES * ALSO CALLED “CONSECUTIVE INTERIOR ANGLES”

PRACTICE 1.CORRESPONDING: 2.ALTERNATE EXTERIOR: 3.ALTERNATE INTERIOR: 4.SAME-SIDE INTERIOR: 5.SUPPLEMENTARY: 6.VERTICAL: < 1 & < 5, < 4 & < 8, < 2 & < 6, < 3 & < 7 < 1 & < 7, < 2 & < 8 < 4 & < 6, < 3 & < 5 < 4 & < 5, <3 & < 6 < 1 & < 2, < 2 & < 3, < 3 & < 4, < 1 & < 4, < 5 & < 6, < 6 & < 7, < 7 & < 8, < 5 & < 8 < 1 & < 3, < 2 & < 4, < 5 & < 7, < 6 & < 8

SUMMARY HW# 23 Textbook p.150 Q: 1-15 *18-23

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