Angle Pairs Created by Parallel Lines Cut by a Transversal PDF

Angle Pairs Created by Parallel Lines Cut by a Transversal Vocabulary ____________________ - A line that crosses parallel lines to create pairs of congruent and supplementary angles ____________________ - Having the same measurement ____________________ - Angles that add up t...

Angle Pairs Created by Parallel Lines Cut by a Transversal 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 Exterior Exterior Interior Interior Exterior Exterior ____________________ - Angles that lie on the same side of the transversal and on the same side of the parallel lines. These angles are in the same “corner” and are congruent ____________________ - Angles on opposite sides of the transversal and inside the two parallel lines. These angles are congruent ____________________ - Angles on opposite sides of the transversal and outside the parallel lines. These angles are congruent ____________________ - Angles on the same side of the transversal and inside the parallel lines. These angles are supplementary ____________________ - Angles on the same side of the transversal and outside the parallel lines. These angles are supplementary ____________________ - Angles that are across from each other and are formed by any intersecting lines (not just parallel lines and transversals). These angles are congruent. ©Amazing Mathematics 3  Angle Pairs Created by Parallel Lines Cut by a Transversal 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 Glue Flap Here Glue Flap Here Glue Flap Here Corresponding Angles Same-Side Exterior Angles Vertical Angles The angles are The angles are The angles are _________________ _________________ _________________ Glue Flap Here Glue Flap Here Glue Flap Here Same-Side Interior Angles Alternate Interior Angles Same-Side Interior Angles The angles are The angles are The angles are _________________ _________________ _________________ Glue Flap Here Glue Flap Here Glue Flap Here Alternate Exterior Angles Vertical Angles Alternate Exterior Angles The angles are The angles are The angles are _________________ _________________ _________________ Glue Flap Here Glue Flap Here Glue Flap Here Alternate Interior Angles Same-Side Exterior Angles Corresponding Angles The angles are The angles are The angles are _________________ _________________ _________________ ©Amazing Mathematics 4  Angle Pairs Created by Parallel Lines Cut by a Transversal 1. Cut out the squares Do NOT cut the dotted 2. Fold along the dotted line in each square to create a “flap” lines.. they are for folding 3. Glue the flap to the corresponding square on page 4 ©Amazing Mathematics 5  Angle Pairs Created by Parallel Lines Cut by a Transversal For each set of angles name the angle pair and find the missing measurement 1) Type of angle pair 5) Type of angle pair ______________ ______________ 68° These angles are x° These angles are ______________ ______________ x° so….x=________ 77° so….x=________ 2) Type of angle pair 6) Type of angle pair ______________ ______________ These angles are 106° These angles are x° ______________ ______________ x° 134° so….x=________ so….x=________ 3) Type of angle pair 7) Type of angle pair 120° ______________ ______________ x° These angles are 74° These angles are ______________ x° ______________ so….x=________ so….x=________ 4) Type of angle pair 8) Type of angle pair ______________ ______________ 101° These angles are x° These angles are ______________ 142° ______________ x° so….x=________ so….x=________ ©Amazing Mathematics 6  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 1) Type of angle pair _____________ Show your work These angles are ______________ 3x° Equation ____________________ 6x° x=________ Angle Measurements= ___________ 2) Show your work Type of angle pair _____________ 7x-12° These angles are ______________ Equation ____________________ 3x+28° x=________ Angle Measurements= ___________ 3) Type of angle pair _____________ Show your work 3x+77° These angles are ______________ Equation ____________________ 4x+54° x=________ Angle Measurements= ___________ 4) Type of angle pair _____________ Show your work These angles are ______________ 9x+8° Equation ____________________ x=________ 4x+18° Angle Measurements= ___________ ©Amazing Mathematics 7