angles of parallel line cut by a transversal line
TRANSCRIPT
![Page 1: angles of parallel line cut by a transversal line](https://reader035.vdocuments.mx/reader035/viewer/2022081418/5559c926d8b42a98208b464c/html5/thumbnails/1.jpg)
Angles Formed byParallel Lines & cut by a
Transversals
![Page 2: angles of parallel line cut by a transversal line](https://reader035.vdocuments.mx/reader035/viewer/2022081418/5559c926d8b42a98208b464c/html5/thumbnails/2.jpg)
When two parallel lines are given in a figure, there are two main areas: the interior and the exterior.
![Page 3: angles of parallel line cut by a transversal line](https://reader035.vdocuments.mx/reader035/viewer/2022081418/5559c926d8b42a98208b464c/html5/thumbnails/3.jpg)
When two parallel lines are cut by a third line, the third line is called the transversal. In the example below, eight angles are formed when parallel lines m and n are cut by a transversal line, t.
• transversal is a line that intersects two or more lines (in the same plane). When lines intersect, angles are formed in several locations. Certain angles are given "names" that describe "where" the angles are located in relation to the lines. These names describe angles whether the lines involved are parallel or not parallel.
![Page 4: angles of parallel line cut by a transversal line](https://reader035.vdocuments.mx/reader035/viewer/2022081418/5559c926d8b42a98208b464c/html5/thumbnails/4.jpg)
Alternate interior angles
•two angles in the interior of the parallel lines, and on opposite (alternate) sides of the transversal. Alternate interior angles are non-adjacent and
congruent.
![Page 5: angles of parallel line cut by a transversal line](https://reader035.vdocuments.mx/reader035/viewer/2022081418/5559c926d8b42a98208b464c/html5/thumbnails/5.jpg)
Alternate exterior angles
• two angles in the exterior of the parallel lines, and on opposite (alternate) sides of the transversal. Alternate exterior angles are non-adjacent and congruent.
![Page 6: angles of parallel line cut by a transversal line](https://reader035.vdocuments.mx/reader035/viewer/2022081418/5559c926d8b42a98208b464c/html5/thumbnails/6.jpg)
Corresponding angles
• two angles, one in the interior and one in the exterior, that are on the same side of the transversal. Corresponding angles are non-adjacent and congruent.
![Page 7: angles of parallel line cut by a transversal line](https://reader035.vdocuments.mx/reader035/viewer/2022081418/5559c926d8b42a98208b464c/html5/thumbnails/7.jpg)
Interior Angles on the Same Side of the Transversal
• (measures are supplementary)Their "name" is simply a description of where the angles are
located.
![Page 8: angles of parallel line cut by a transversal line](https://reader035.vdocuments.mx/reader035/viewer/2022081418/5559c926d8b42a98208b464c/html5/thumbnails/8.jpg)
Vertical Angles
• (measures are equal)Vertical angles are ALWAYS equal, whether youhave parallel lines or not.
• (measures are equal)Vertical angles are ALWAYS equal, whether youhave parallel lines or not.
![Page 9: angles of parallel line cut by a transversal line](https://reader035.vdocuments.mx/reader035/viewer/2022081418/5559c926d8b42a98208b464c/html5/thumbnails/9.jpg)
Summary• Parallel lines are lines that never meet.• A transversal is a line that intersects 2 or more
(parallel) lines.• Parallel lines cut by a transversal form 8 angles.• Pairs of angles will be either congruent or
supplementary.• Vertical angles are ALWAYS equal, whether you
have parallel lines or not.
![Page 10: angles of parallel line cut by a transversal line](https://reader035.vdocuments.mx/reader035/viewer/2022081418/5559c926d8b42a98208b464c/html5/thumbnails/10.jpg)
Angles forming a Linear Pair
• (measures are supplementary)
•
Theorem:•If two angles form a linear pair, they are supplementary.
![Page 11: angles of parallel line cut by a transversal line](https://reader035.vdocuments.mx/reader035/viewer/2022081418/5559c926d8b42a98208b464c/html5/thumbnails/11.jpg)
SOURCE !…
• http://www.math10.com/en/geometry/angles/angles.html
• l•http://www.regentsprep.org/Regents/math/geometry/GP8/Lparallel.htm
![Page 12: angles of parallel line cut by a transversal line](https://reader035.vdocuments.mx/reader035/viewer/2022081418/5559c926d8b42a98208b464c/html5/thumbnails/12.jpg)
III - MASUNURIN
• Teacher :
• Mr. Cristopher M. Magto
![Page 13: angles of parallel line cut by a transversal line](https://reader035.vdocuments.mx/reader035/viewer/2022081418/5559c926d8b42a98208b464c/html5/thumbnails/13.jpg)
MEMBERS:
• LOVELY JANE LARIEGO
• HANNA MAE RUBILLAR
LEA LLAGAS
![Page 14: angles of parallel line cut by a transversal line](https://reader035.vdocuments.mx/reader035/viewer/2022081418/5559c926d8b42a98208b464c/html5/thumbnails/14.jpg)
Video of ANGLE FORMED BY PARALLEL LINES CUT BY A
TRANSVERSAL
• http://www.youtube.com/watch?feature=player_detailpage&v=iHfOtyq2OtU#t=15