Pairs of angles formed by parallel lines cut by a transversal
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This document discusses parallel lines cut by a transversal and defines three types of angle pairs formed: 1) Alternate interior angles are non-adjacent interior angles on opposite sides of the transversal. 2) Alternate exterior angles are non-adjacent exterior angles on opposite sides of the transversal. 3) Corresponding angles are non-adjacent angles, with one interior and one exterior, on the same side of the transversal. The document provides an example figure and instructions to draw parallel lines cut by a transversal, name the three types of angle pairs, and measure them.
Pairs of angles formed by parallel lines cut by a transversal
- 1. ________1. These linesdo not intersecteachother and they lieon the same plane or coplanar lines. ________2. These lineslie on different planesor non-coplanar lines. ________3. It’s a linethatintersects/cuts two or more coplanar lines attwo or more different points. lraplalesinel weks nisel vansreltraslein
- 2. Pairsof Anglesformed by Parallellines cutby a transversal Elton John B. Embodo
- 3. Statement of the Aim • Identify the followingpairsof angles whether alternate interior angles, alternateexterior angles or correspondingangles; • Name a pair of alternateinteriorangles, alternate exterior angles and correspondinganglesbased on the given figure; • Measure the pairsof alternateinteriorangles, alternate exterior angles and correspondingangles
- 4. Do the followinginyour group 1. Draw a horizontalline and labelas line l. 2. Draw another horizontal linebelow the linel and labelit as line k. 3. Make sure that line l and line k are parallellines. 4. Draw a diagonalline or a transversalline, intersecting the two parallel lines,then labelthe transversalline as line t. 5. Name the points of intersectionsas pointX and Y.
- 5. The desired figure inyour activity; . t l k 1 2 3 4 5 6 7 8 X Y
- 6. t l k 1 2 3 4 5 6 7 8 X Y
- 7. Pairsof Angles formed by Parallellines Cut by aTransversal Alternate interiorangles–are two non-adjacentinterior angleson the opposite sides of the transversal. Ex: and and Alternate exterior angles–are two non-adjacentexterior angles on the opposite sides of the transversal. Ex: and and Corresponding angles–are two non-adjacentangles, one interior and one exterioron thesame side of the transversal Ex: and , and , and , and3 6 4 5 1 82 7 1 3 7 5 2 6 4 8
- 8. Directions: Name all pairs of alternateinteriorangles, alternate exteriors angles and corresponding angles based on thefigure below. 1t 2t u v A B C D E F G H I J K L M N O P
- 9. Assignment Draw a parallel lines cut by a transversal and use a protractor to measure thefollowing: • Alternate interior angles • Alternate exterior angles • Corresponding angles.