Thank you for purchasing Parallel Lines Cut by a Transversal ~ Notes & Worksheets ~
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1 Thank you for purchasing Parallel Lines Cut by a Transversal ~ Notes & Worksheets ~ If you enjoyed this product or have advice on a way to improve it please take the time to leave a review! You earn TPT credits for every review you leave! Visit my store for more 8th grade, Algebra 1, and Geometry resources! Cover Art Created by : Julie Faulkner 1
2 Instructions Pages 3 is designed to be used as in class notes to introduce the angle pairs created by parallel lines and transversals. Answer key located on page 8. Pages 4&5 create a foldable that students can put in their notebooks to help them practice recognizing the different types of angle pairs. Directions are on the pages and no answer key is needed/included. Page 6 can be used as notes or as a worksheet to help students practice identifying angle pairs and finding missing angle measurements. Answer key located on page 9. Page 7 can be used as notes or as a worksheet to help students practice writing & solving equations for congruent and supplementary angle pairs. Answer key located on page 10. 2
3 Vocabulary - A line that crosses parallel lines to create pairs of congruent and supplementary angles - Having the same measurement - Angles that add up to 180 Angle Pairs in Parallel Lines Cut by a Transversal Interior Interior - Angles that lie on the same side of the transversal and on the same side of the parallel lines. in the same corner and are congruent - Angles on opposite sides of the transversal and inside the two parallel lines. congruent - Angles on opposite sides of the transversal and outside the parallel lines. congruent - Angles on the same side of the transversal and inside the parallel lines. supplementary - Angles on the same side of the transversal and outside the parallel lines. supplementary - Angles that are across from each other and are formed by any intersecting lines (not just parallel lines and transversals). congruent. 3
4 Cut out the squares on page 5 and glue them to the corresponding square Fill in Congruent or Supplementary for each box to say what the angles are Corresponding Angles Same-Side Angles Vertical Angles Same-Side Interior Angles Alternate Interior Angles Same-Side Interior Angles Alternate Angles Vertical Angles Alternate Angles Alternate Interior Angles Same-Side Angles Corresponding Angles 4
5 1. Cut out the squares 2. Fold along the dotted line in each square to create a flap 3. Glue the flap to the corresponding square on page 4 Do NOT cut the dotted lines...they are for folding 5
6 For each set of angles name the angle pair and find the missing measurement 1) 68 5) 77 2) 134 6) 106 3) 120 7) 74 4) 101 8) 142 6
7 1) Angle Pairs Created by Parallel Lines Cut by a Transversal For each set of angles name the angle pair, write the equation, solve the equation for x, and plug in x to find the missing angle measurements 3 6 Equation x= Angle Measurements= 2) 7x-12 Equation 3x+28 x= Angle Measurements= 3) 3x+77 Equation 4x+54 x= Angle Measurements= 4) 9x+8 Equation 4x+18 x= Angle Measurements= 7
8 Vocabulary Transversal - A line that crosses parallel lines to create pairs of congruent and supplementary angles Congruent - Having the same measurement Supplementary - Angles that add up to 180 Angle Pairs in Parallel Lines Cut by a Transversal Interior Interior Have students color in the angle pairs on the diagrams Corresponding - Angles that lie on the same side of the transversal and on the same side of the parallel lines. in the same corner and are congruent Alternate Interior - Angles on opposite sides of the transversal and inside the two parallel lines. congruent Alternate - Angles on opposite sides of the transversal and outside the parallel lines. congruent Same-Side Interior - Angles on the same side of the transversal and inside the parallel lines. supplementary Same-Side - Angles on the same side of the transversal and outside the parallel lines. supplementary Vertical - Angles that are across from each other and are formed by any intersecting lines (not just parallel lines and transversals). congruent. 8
9 For each set of angles name the angle pair and find the missing measurement 1) 68 _Corresponding Congruent so.x= 68 5) 77 _Same-Side _Supplementary so.x=_103 2) 134 _Same-Side Interior _Supplementary so.x=_46 6) 106 _Alternate Interior _Congruent so.x=_106 3) 120 _Vertical Congruent 7) 74 _Same-Side Interior _Supplementary so.x=_120 so.x=_106 4) 101 _Alternate Interior _Congruent so.x=_101 8) 142 _Alternate _Congruent so.x=_142 9
10 1) Angle Pairs Created by Parallel Lines Cut by a Transversal For each set of angles name the angle pair, write the equation, solve the equation for x, and plug in x to find the missing angle measurements 3 6 _Same-Side Interior _Supplementary Equation 3x+6x=180 x=_20 Angle Measurements= 60 &120 2) 7x-12 _Alternate _Congruent Equation 7x-12=3x+28 3x+28 x=_10 Angle Measurements= 58 &58 3) 3x+77 _Same-Side _Supplementary Equation 3x+77+4x+54=180 4x+54 x=_7 Angle Measurements= 98 &82 4) _Corresponding Congruent 9x+8 Equation 9x+8=4x+18 4x+18 x=_2 Angle Measurements= 26 &26 10
11 If your students need more practice to strengthen their skills in parallel lines cut by a transversal I hope you will explore some of my other resources as well. Images are hyperlinked for easy access to the product 11
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