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-3.1 Parallel lines EXAMPLE O ALTERNATE EXTERIOR ALTERNATE INTERIOR identify the pairs of angles SAME SIDE INTERIOR ANGLES, CCOMSECUTIVE INTERIOR ANGLES) 2426 23225 VOCAB If two PARALLEL lines are cut CORRESPONDING SAME SIDE INTERIOR (CONSECUTIVE) ALTERNATE EXTERIORY 21427 228 28 ALTERNATE INTERIOR 23 & 26 44 445 CORRESPONDING 21 & 26, 2225, 24 28 23 47 = 180° by #congruent congruent congruent supplementary, not congruent a transversal... 双双双 Example 2 3/4 9 10 11 12 13 14 - с 15 16 3 m²8=128⁰ B angles must belong to the SAME transversal, to be an angle pair 21:28 128⁰ 22:180-128-52⁰ 23:22 52⁰ 24:28 128⁰ 25:28 128⁰ 26:22 52° 47:58 4 solve for X A) 10x+10=12x-b x=8 D 20x+5+8x+7=180" x=6 25&213 corresponding 27 & 214 23 & 26 29 & 416 Alt. Exterior 2427 Same side Int. L2LIO Corresponding 28 & 214 Same side Int. 262411 none 24&213 none 24 & 29 10x+10 Alt, Interior Alt Exterior 52 12-x-6 Alt. Int 128⁰ Alt. Interior 128⁰ 8 52 141280 128⁰ B) 20x+5 8x+7 same side Int. (5) (6) 7 f 3 7x-248x+17=180 15x+15=180 15x=165 X=11 4 110 115459 K 4 0 Statement reason miln m²3=(7x-2) given given m24=(8x+17) given n7x-2+8x+17=180 15x+15=180 15x=165 X=11 71m ²3=75° substitution m43=7(11)-2 m43=77-2 multiplication property Same side Int. combine like terms Subtraction division statements reasons miln given 21&23 supplemem same side. 21+23=180 122+43=180 property property Subtraction erty interior def. supplementary linear pair 21+13= 22 +23 transitive property. subtraction property def.congruent M²1=m42 21=22 m²1:180-85-45=70° m²2:180-115 65% corresponding m23:180-115 65°linear pair m44: 115° corresponding m25: 45° alt. Interior" m26:45° vertical
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Stefan S, iOS User
SuSSan, iOS User
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Learn how to identify and classify angles formed by parallel lines and a transversal in this article.
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-3.1 Parallel lines EXAMPLE O ALTERNATE EXTERIOR ALTERNATE INTERIOR identify the pairs of angles SAME SIDE INTERIOR ANGLES, CCOMSECUTIVE INTERIOR ANGLES) 2426 23225 VOCAB If two PARALLEL lines are cut CORRESPONDING SAME SIDE INTERIOR (CONSECUTIVE) ALTERNATE EXTERIORY 21427 228 28 ALTERNATE INTERIOR 23 & 26 44 445 CORRESPONDING 21 & 26, 2225, 24 28 23 47 = 180° by #congruent congruent congruent supplementary, not congruent a transversal... 双双双 Example 2 3/4 9 10 11 12 13 14 - с 15 16 3 m²8=128⁰ B angles must belong to the SAME transversal, to be an angle pair 21:28 128⁰ 22:180-128-52⁰ 23:22 52⁰ 24:28 128⁰ 25:28 128⁰ 26:22 52° 47:58 4 solve for X A) 10x+10=12x-b x=8 D 20x+5+8x+7=180" x=6 25&213 corresponding 27 & 214 23 & 26 29 & 416 Alt. Exterior 2427 Same side Int. L2LIO Corresponding 28 & 214 Same side Int. 262411 none 24&213 none 24 & 29 10x+10 Alt, Interior Alt Exterior 52 12-x-6 Alt. Int 128⁰ Alt. Interior 128⁰ 8 52 141280 128⁰ B) 20x+5 8x+7 same side Int. (5) (6) 7 f 3 7x-248x+17=180 15x+15=180 15x=165 X=11 4 110 115459 K 4 0 Statement reason miln m²3=(7x-2) given given m24=(8x+17) given n7x-2+8x+17=180 15x+15=180 15x=165 X=11 71m ²3=75° substitution m43=7(11)-2 m43=77-2 multiplication property Same side Int. combine like terms Subtraction division statements reasons miln given 21&23 supplemem same side. 21+23=180 122+43=180 property property Subtraction erty interior def. supplementary linear pair 21+13= 22 +23 transitive property. subtraction property def.congruent M²1=m42 21=22 m²1:180-85-45=70° m²2:180-115 65% corresponding m23:180-115 65°linear pair m44: 115° corresponding m25: 45° alt. Interior" m26:45° vertical
-3.1 Parallel lines EXAMPLE O ALTERNATE EXTERIOR ALTERNATE INTERIOR identify the pairs of angles SAME SIDE INTERIOR ANGLES, CCOMSECUTIVE INTERIOR ANGLES) 2426 23225 VOCAB If two PARALLEL lines are cut CORRESPONDING SAME SIDE INTERIOR (CONSECUTIVE) ALTERNATE EXTERIORY 21427 228 28 ALTERNATE INTERIOR 23 & 26 44 445 CORRESPONDING 21 & 26, 2225, 24 28 23 47 = 180° by #congruent congruent congruent supplementary, not congruent a transversal... 双双双 Example 2 3/4 9 10 11 12 13 14 - с 15 16 3 m²8=128⁰ B angles must belong to the SAME transversal, to be an angle pair 21:28 128⁰ 22:180-128-52⁰ 23:22 52⁰ 24:28 128⁰ 25:28 128⁰ 26:22 52° 47:58 4 solve for X A) 10x+10=12x-b x=8 D 20x+5+8x+7=180" x=6 25&213 corresponding 27 & 214 23 & 26 29 & 416 Alt. Exterior 2427 Same side Int. L2LIO Corresponding 28 & 214 Same side Int. 262411 none 24&213 none 24 & 29 10x+10 Alt, Interior Alt Exterior 52 12-x-6 Alt. Int 128⁰ Alt. Interior 128⁰ 8 52 141280 128⁰ B) 20x+5 8x+7 same side Int. (5) (6) 7 f 3 7x-248x+17=180 15x+15=180 15x=165 X=11 4 110 115459 K 4 0 Statement reason miln m²3=(7x-2) given given m24=(8x+17) given n7x-2+8x+17=180 15x+15=180 15x=165 X=11 71m ²3=75° substitution m43=7(11)-2 m43=77-2 multiplication property Same side Int. combine like terms Subtraction division statements reasons miln given 21&23 supplemem same side. 21+23=180 122+43=180 property property Subtraction erty interior def. supplementary linear pair 21+13= 22 +23 transitive property. subtraction property def.congruent M²1=m42 21=22 m²1:180-85-45=70° m²2:180-115 65% corresponding m23:180-115 65°linear pair m44: 115° corresponding m25: 45° alt. Interior" m26:45° vertical
iOS User
Stefan S, iOS User
SuSSan, iOS User