11/12/14 geometry bellwork 1.3x = 8x – 15 0 = 5x – 15 15 = 5x x = 3 2.6x + 3 = 8x – 14 3 = 2x...
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![Page 1: 11/12/14 Geometry Bellwork 1.3x = 8x – 15 0 = 5x – 15 15 = 5x x = 3 2.6x + 3 = 8x – 14 3 = 2x – 14 17 = 2x x = 8.5 3.5x – 2 = 3x + 6 2x – 2 = 6 2x = 8](https://reader031.vdocuments.mx/reader031/viewer/2022013112/56649f145503460f94c28ce7/html5/thumbnails/1.jpg)
11/12/14 Geometry Bellwork 11/12/14 Geometry Bellwork
1. 3x = 8x – 15
0 = 5x – 15
15 = 5x
x = 3
2. 6x + 3 = 8x – 14
3 = 2x – 14
17 = 2x
x = 8.5
3. 5x – 2 = 3x + 6
2x – 2 = 6
2x = 8
x = 4
AB = 2AM
AB = 2(5x – 2)
AB = 2(5*4 – 2) = 2(18)
AB = 36
![Page 2: 11/12/14 Geometry Bellwork 1.3x = 8x – 15 0 = 5x – 15 15 = 5x x = 3 2.6x + 3 = 8x – 14 3 = 2x – 14 17 = 2x x = 8.5 3.5x – 2 = 3x + 6 2x – 2 = 6 2x = 8](https://reader031.vdocuments.mx/reader031/viewer/2022013112/56649f145503460f94c28ce7/html5/thumbnails/2.jpg)
5.2: Use Perpendicular Bisectors5.2: Use Perpendicular Bisectors
Objective: Use perpendicular bisectors to solve problemsA line segment (or line or ray) is a perpendicular bisector if it is perpendicular to another segment at its midpoint
![Page 3: 11/12/14 Geometry Bellwork 1.3x = 8x – 15 0 = 5x – 15 15 = 5x x = 3 2.6x + 3 = 8x – 14 3 = 2x – 14 17 = 2x x = 8.5 3.5x – 2 = 3x + 6 2x – 2 = 6 2x = 8](https://reader031.vdocuments.mx/reader031/viewer/2022013112/56649f145503460f94c28ce7/html5/thumbnails/3.jpg)
Geometry – StandardG.PL.3Geometry – StandardG.PL.3
Prove and apply theorems about lines and angles, including the following: vertical angles are congruent; when a transversal crosses parallel lines, alternate interior angles are congruent, alternate exterior angles are congruent, and corresponding angles are congruent; when a transversal crosses parallel lines, same side interior angles are supplementary; and points on a perpendicular bisector of a line segment are exactly those equidistant from the endpoints of the segment.
POINTS, LINES, ANGLES
![Page 4: 11/12/14 Geometry Bellwork 1.3x = 8x – 15 0 = 5x – 15 15 = 5x x = 3 2.6x + 3 = 8x – 14 3 = 2x – 14 17 = 2x x = 8.5 3.5x – 2 = 3x + 6 2x – 2 = 6 2x = 8](https://reader031.vdocuments.mx/reader031/viewer/2022013112/56649f145503460f94c28ce7/html5/thumbnails/4.jpg)
Geometry – StandardG.PL.5Geometry – StandardG.PL.5
Explain and justify the process used to construct, with a variety of tools and methods (compass and straightedge, string, reflective devices, paper folding, dynamic geometric software, etc.), congruent segments and angles, angle bisectors, perpendicular bisectors, altitudes, medians, and parallel and perpendicular lines.
POINTS, LINES, ANGLES
![Page 5: 11/12/14 Geometry Bellwork 1.3x = 8x – 15 0 = 5x – 15 15 = 5x x = 3 2.6x + 3 = 8x – 14 3 = 2x – 14 17 = 2x x = 8.5 3.5x – 2 = 3x + 6 2x – 2 = 6 2x = 8](https://reader031.vdocuments.mx/reader031/viewer/2022013112/56649f145503460f94c28ce7/html5/thumbnails/5.jpg)
equidistant
CB
![Page 6: 11/12/14 Geometry Bellwork 1.3x = 8x – 15 0 = 5x – 15 15 = 5x x = 3 2.6x + 3 = 8x – 14 3 = 2x – 14 17 = 2x x = 8.5 3.5x – 2 = 3x + 6 2x – 2 = 6 2x = 8](https://reader031.vdocuments.mx/reader031/viewer/2022013112/56649f145503460f94c28ce7/html5/thumbnails/6.jpg)
AB
4x 7x - 6
2
4x 4(2) 8
![Page 7: 11/12/14 Geometry Bellwork 1.3x = 8x – 15 0 = 5x – 15 15 = 5x x = 3 2.6x + 3 = 8x – 14 3 = 2x – 14 17 = 2x x = 8.5 3.5x – 2 = 3x + 6 2x – 2 = 6 2x = 8](https://reader031.vdocuments.mx/reader031/viewer/2022013112/56649f145503460f94c28ce7/html5/thumbnails/7.jpg)
![Page 8: 11/12/14 Geometry Bellwork 1.3x = 8x – 15 0 = 5x – 15 15 = 5x x = 3 2.6x + 3 = 8x – 14 3 = 2x – 14 17 = 2x x = 8.5 3.5x – 2 = 3x + 6 2x – 2 = 6 2x = 8](https://reader031.vdocuments.mx/reader031/viewer/2022013112/56649f145503460f94c28ce7/html5/thumbnails/8.jpg)
Check Points #1 and 2Check Points #1 and 2
![Page 9: 11/12/14 Geometry Bellwork 1.3x = 8x – 15 0 = 5x – 15 15 = 5x x = 3 2.6x + 3 = 8x – 14 3 = 2x – 14 17 = 2x x = 8.5 3.5x – 2 = 3x + 6 2x – 2 = 6 2x = 8](https://reader031.vdocuments.mx/reader031/viewer/2022013112/56649f145503460f94c28ce7/html5/thumbnails/9.jpg)
ConcurrencyConcurrency
Concurrent – Three or more lines, rays, or segments that intersect in the same point
Point of concurrency – The point of intersection of the lines, rays, or segments
![Page 10: 11/12/14 Geometry Bellwork 1.3x = 8x – 15 0 = 5x – 15 15 = 5x x = 3 2.6x + 3 = 8x – 14 3 = 2x – 14 17 = 2x x = 8.5 3.5x – 2 = 3x + 6 2x – 2 = 6 2x = 8](https://reader031.vdocuments.mx/reader031/viewer/2022013112/56649f145503460f94c28ce7/html5/thumbnails/10.jpg)
![Page 11: 11/12/14 Geometry Bellwork 1.3x = 8x – 15 0 = 5x – 15 15 = 5x x = 3 2.6x + 3 = 8x – 14 3 = 2x – 14 17 = 2x x = 8.5 3.5x – 2 = 3x + 6 2x – 2 = 6 2x = 8](https://reader031.vdocuments.mx/reader031/viewer/2022013112/56649f145503460f94c28ce7/html5/thumbnails/11.jpg)
![Page 12: 11/12/14 Geometry Bellwork 1.3x = 8x – 15 0 = 5x – 15 15 = 5x x = 3 2.6x + 3 = 8x – 14 3 = 2x – 14 17 = 2x x = 8.5 3.5x – 2 = 3x + 6 2x – 2 = 6 2x = 8](https://reader031.vdocuments.mx/reader031/viewer/2022013112/56649f145503460f94c28ce7/html5/thumbnails/12.jpg)
Work these out now!Work these out now!
2x = 5x – 6
0 = 3x – 6
6 = 3x
x = 2
AB = 4
3x + 8 = 7x – 16
8 = 4x – 16
24 = 4x
x = 6
AB = 26
6x + 11 = 11x – 9
11 = 5x – 9
20 = 5x
x = 4
AB = 35
![Page 13: 11/12/14 Geometry Bellwork 1.3x = 8x – 15 0 = 5x – 15 15 = 5x x = 3 2.6x + 3 = 8x – 14 3 = 2x – 14 17 = 2x x = 8.5 3.5x – 2 = 3x + 6 2x – 2 = 6 2x = 8](https://reader031.vdocuments.mx/reader031/viewer/2022013112/56649f145503460f94c28ce7/html5/thumbnails/13.jpg)
Homework
11/12/14 Homework
11/12/14 Pages: 306-309:
Exercises: 3-5 all, 12-16 even, 24, 37, 38