Angle Relationships. Geometry Vocabulary. Parallel Lines November 07, 2013

Transcription

1 Geometr Vocbulr. Point the geometric figure formed t the intersecon of two disnct lines 2. Line the geometric figure formed b two points. A line is the stright pth connecng two points nd etending beond the points in both direcons 3. Segment ll points between two given points (including the given points themselves). R prt of line strng t prculr point nd etending infinitel in one direcon 5. Angle two rs shring common endpoint 6. Verte the point where the sides of n ngle meet 7. Vercl ngles opposite ngles formed b the intersecon of two lines (vercl ngles re congruent) 8. Complementr ngles two ngles where the sum of their mesures is Supplementr ngles two ngles where the sum of their mesures is Adjcent ngles ngles tht shre common verte, common side, nd do not overlp. Congruent hving the sme mesure (sme side lengths, shpe, nd ngles) 2. Acute ngle n ngle whose mesure is less thn Obtuse ngle n ngle whose mesure is between 90 nd 80. Right ngle n ngle whose mesure is ectl Stright ngle n ngle whose mesure is ectl Liner pir of ngles pir of djcent ngles formed b intersecng lines (liner pirs of ngles re supplementr) 7. Prllel lines tht never intersect no mer how fr the etend 8. Perpendiculr two lines tht intersect to form right ngles 9. Trnsversl line tht intersects two or more other lines 20. Alternte interior ngles interior ngles tht lie on opposite sides of the trnsversl (lternte interior ngles re congruent) 2. Alternte eterior ngles eterior ngles tht lie on opposite sides of the trnsversl (lternte eterior ngles re congruent) 22. Corresponding ngles ngles tht re in the sme posion on two prllel lines in relon to trnsversl (corresponding ngles re congruent) Angle Reltionships

2 D 2 center: fied point other thn origin (need protrctor) How do we mesure n ngle with protrctor? o 2o o 92 o 90 o 80 0

3 Lines s nd r re not prllel, nd the re cut b trnsversl t. Use protrctor to mesure the numbered ngles. t s 260 o 20 o 3 60 o 20o 95 o 5 5 o 8 85 o 7 95 o r Lines m nd n re prllel (m n), nd the re cut b trnsversl p. Use protrctor to find the mesures of the numbered ngles. p 65 o 2 5 o 3 5 o 65 o m 65 o o o o n

4 - non-djcent interior ngles found on opposite sides of the trnsversl - non-djcent eterior ngles found on opposite sides of the trnsversl - non-djcent interior ngles found on the sme side of the trnsversl - line tht intersects two prllel lines to form eight ngles

5 Aim: Prllel Lines Cut b Trnsversl Trnsversl- line tht intersects two or more lines. Interior Angles - lie inside the prllel lines <3, <, <5, nd <6 Eterior Angles - lie outside the prllel lines <, <2, <7, nd <8

6 Alternte Interior Angles- <'s 3 nd 6 <'s nd 5 pir of interior ngles on the opposite sides of the trnsversl. The re congruent. Alternte Eterior Angles- <'s 2 nd 8 <'s nd 7 pir of eterior ngles on the opposite sides of the trnsversl. These ngles re congruent.

7 Corresponding Angles - n pir of ngles on the sme side of the trnsversl, one interior nd one <'s nd 6 eterior. The re congruent. <'s nd 8 <'s 2 nd 5 <'s 3 nd 7