Mathematics 1439 SAS Curriculum Pathways. Parallel Lines: Special Angles: In-class Worksheet (Middle School)

Transcription

1 NAME: CLASS: DATE: A. Direcions for problems 1 4 1) Clic Demo. 2) Selec Corresponding Angles Posulae from he dropdown menu. 3) Selec any one of he four angles. 4) Sep hrough he demo by clicing he navigaion buons a he boom of he window. Noe: You may wish o view he demo again by selecing addiional angles from he drop-down menu. 5) Complee problems 1 4 on his worshee. 1. Given he following image and angles, idenify he corresponding angles. Given Corresponding Angle m For each se of lines, idenify which line is he ransversal. v s p z c a g Transversal: Transversal: Transversal: 3. Congruen means 4. Corresponding Angles Posulae: If wo parallel lines are cu by a ransversal, hen Copyrigh 2011, SAS Insiue Inc., Cary, NC, USA, All Righs Reserved 3/1/2011 Page 1 of 7

2 B. Direcions for problems 5 6 1) In Demo, selec Alernae Inerior Angles Theorem from he drop-down menu. 2) Selec any one of he wo angles. 3) Sep hrough he demo by clicing he navigaion buons a he boom of he window. Noe: You may wish o view he demo again by selecing he oher angle from he drop-down menu. 4) Complee problems 5 6 on his worshee. 5. Given he following image, idenify he alernae inerior angle. Given Alernae Inerior Angle m Alernae Inerior Angles Theorem: If wo parallel lines are cu by a ransversal, hen Copyrigh 2011, SAS Insiue Inc., Cary, NC, USA, All Righs Reserved 3/1/2011 Page 2 of 7

3 C. Direcions for problems 7 9 1) In Demo, selec Same-Side Inerior Angles Theorem from he drop-down menu. 2) Selec any one of he wo angles. 3) Sep hrough he demo by clicing he navigaion buons a he boom of he window. Noe: You may wish o view he demo again by selecing he oher angle from he drop-down menu. 4) Complee problems 7 9 on his worshee. 7. Given he following image, idenify he same-side inerior angle. Given Same-Side Inerior Angle m Supplemenary means 9. Same-Side Inerior Angles Theorem: If wo parallel lines are cu by a ransversal, hen Copyrigh 2011, SAS Insiue Inc., Cary, NC, USA, All Righs Reserved 3/1/2011 Page 3 of 7

4 D. Direcions for problems ) Clic Pracice. 2) Se up each problem on he compuer o mach he seup for each problem on his worshee. In he Creae Angles panel, firs selec he se of parallel lines. Then selec one of he four angles and ener is measure. 3) In he Measuremens panel on he compuer, idenify each special angle and is measure. 4) Clic he Chec Answers buon o chec your wor. Correc as necessary. 5) Complee problems and record your answers on his worshee. 10. Seup: ; m 3 = 40 Special Angles Angle Measure corresponding angle = alernae inerior angle = same-side inerior angle = 11. Seup: ; m 5 = 75 Special Angles Angle Measure corresponding angle = alernae inerior angle = same-side inerior angle = 12. Seup: ; m 8 = 125 Special Angles Angle Measure corresponding angle = alernae inerior angle = same-side inerior angle = Copyrigh 2011, SAS Insiue Inc., Cary, NC, USA, All Righs Reserved 3/1/2011 Page 4 of 7

5 E. Direcions for problems ) In Pracice, se up each problem on he compuer o mach he seup for each problem on his worshee. In he Creae Angles panel, firs selec he se of parallel lines. Then selec he angle and ener is measure. 2) In he Measuremens panel on he compuer, idenify he special angle and is measure. Noe: You do no have o complee all of he special angles in order o chec an angle and is measure. 3) Clic he Chec Answers buon o chec your wor. Correc as necessary. 4) Review he example, hen complee problems Record your answers on his worshee. Parallel Lines Given Angle Special Angle Angle and Measure Ex: m 6 = 40 Corresponding Angles m 2 = m 7 = 72 Corresponding Angles 14. m 4 = 132 Alernae Inerior Angles 15. m 1 = 145 Alernae Inerior Angles 16. m 5 = 42 Same-Side Inerior Angles Copyrigh 2011, SAS Insiue Inc., Cary, NC, USA, All Righs Reserved 3/1/2011 Page 5 of 7

6 F. Direcions for problems ) In Pracice, se up each problem on he compuer o mach he seup for each problem on his worshee. In he Creae Angles panel, firs selec he se of parallel lines. Then selec he angle and ener is measure. 2) In he Measuremens panel on he compuer, idenify he special angle and is measure. 3) Then idenify he special name for he pair of angles. Noe: You do no have o complee all of he special angles in he Measuremens panel in order o chec an angle and is measure. 4) Clic he Chec Answers buon o chec your wor. Correc as necessary. 5) Review he example, hen complee problems Record your answers on his worshee. Parallel Lines Given Angle Special Angle and Measure Type of Special Angles Ex. m 4 = 118 m 8 = 118 Corresponding Angles 17. m 5 = 77 m 3 = 18. m 7 = 95 m 2 = 19. m 8 = 128 m 4 = Copyrigh 2011, SAS Insiue Inc., Cary, NC, USA, All Righs Reserved 3/1/2011 Page 6 of 7

7 G. Direcions for problems ) In Pracice, se up each problem on he compuer o mach he seup for each problem on his worshee. In he Creae Angles panel, selec he appropriae se of parallel lines. Then selec he angle and ener is measure. 2) In he Measuremens panel on he compuer, selec All Angles. Using he given angle, find he oher angle measures. 3) Clic he Chec Answers buon o chec your wor. Correc as necessary. 4) Complee problems and record your answers on his worshee. 20. Seup: 21. Seup: 22. Seup: 23. Seup: m1 = m1 = m1 = 116 m1 = m2 = m2 = 150 m2 = m2 = m3 = m3 = m3 = m3 = m4 = m4 = m4 = m4 = m5 = m5 = m5 = m5 = 90 m6 = 54 m6 = m6 = m6 = m7 = m7 = m7 = m7 = m8 = m8 = m8 = m8 = Copyrigh 2011, SAS Insiue Inc., Cary, NC, USA, All Righs Reserved 3/1/2011 Page 7 of 7