3 1 Identify Pairs of Lines and Angles

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3. 1 Identify Pairs of Lines and Angles

3. 1 Identify Pairs of Lines and Angles

Transversal – a line that intersects two or more coplanar lines at different points.

Transversal – a line that intersects two or more coplanar lines at different points. t

Corresponding Angles (C) – have corresponding positions. For example: label 2 and 6 t

Corresponding Angles (C) – have corresponding positions. For example: label 2 and 6 t 2 6

Corresponding Angles (C) What shape do corresponding angles make? t 2 F 6

Corresponding Angles (C) What shape do corresponding angles make? t 2 F 6

Alternate Interior Angles (AI) – lie on alternate (opposite) sides of the transversal on

Alternate Interior Angles (AI) – lie on alternate (opposite) sides of the transversal on the interior (inside/between) the two lines. For example: label 4 and 5 t 4 5

Alternate Interior Angles (AI) What shape do alternate interior angles make? t Z 4

Alternate Interior Angles (AI) What shape do alternate interior angles make? t Z 4 5

Alternate Exterior Angles (AE) – lie on alternate (opposite) sides of the transversal and

Alternate Exterior Angles (AE) – lie on alternate (opposite) sides of the transversal and on the exterior (outside) of the two lines. For example: label 1 and 8 t 1 8

Alternate Exterior Angles (AE) Do alternate exterior angles have a shape? t 1 8

Alternate Exterior Angles (AE) Do alternate exterior angles have a shape? t 1 8 Not really

Same Side Interior Angles (SSI) – lie on the same side of the transversal

Same Side Interior Angles (SSI) – lie on the same side of the transversal and on the (inside) of the two lines. For example: label 3 and 5 t 3 5

Same Side Interior Angles (SSI) What shape do Same Side Interior angles make? t

Same Side Interior Angles (SSI) What shape do Same Side Interior angles make? t 3 5 C

Don’t forget!!! Vertical Angles (V) 1 2 X shape Linear Pair (LP) 3 4

Don’t forget!!! Vertical Angles (V) 1 2 X shape Linear Pair (LP) 3 4 Slanty T shape

Determine if the angles are alternate interior, same-side interior, corresponding, vertical angles, linear pair

Determine if the angles are alternate interior, same-side interior, corresponding, vertical angles, linear pair or no relationship. 1. 4 and 7 Same-Side Interior 2 1 3 4 56 7 8 9 10 11 12 13 14

Determine if the angles are alternate interior, same-side interior, corresponding, vertical angles, linear pair

Determine if the angles are alternate interior, same-side interior, corresponding, vertical angles, linear pair or no relationship. 2. 6 and 9 Alternate Interior 2 1 3 4 56 7 8 9 10 11 12 13 14

Determine if the angles are alternate interior, same-side interior, corresponding, vertical angles, linear pair

Determine if the angles are alternate interior, same-side interior, corresponding, vertical angles, linear pair or no relationship. 3. 6 and 14 Corresponding 2 1 3 4 56 7 8 9 10 11 12 13 14

Determine if the angles are alternate interior, same-side interior, corresponding, vertical angles, linear pair

Determine if the angles are alternate interior, same-side interior, corresponding, vertical angles, linear pair or no relationship. 4. 9 and 10 Linear Pair 2 1 3 4 56 7 8 9 10 11 12 13 14

Determine if the angles are alternate interior, same-side interior, corresponding, vertical angles, linear pair

Determine if the angles are alternate interior, same-side interior, corresponding, vertical angles, linear pair or no relationship. 5. 3 and 7 No Relationship 2 1 3 4 56 7 8 9 10 11 12 13 14