Chapter 3.1: Identify Pairs of Lines and Angles. M11.B.2.1, M11.C.1.2 What angle pairs are formed by...
-
Upload
roger-wheeler -
Category
Documents
-
view
219 -
download
0
Transcript of Chapter 3.1: Identify Pairs of Lines and Angles. M11.B.2.1, M11.C.1.2 What angle pairs are formed by...
![Page 1: Chapter 3.1: Identify Pairs of Lines and Angles. M11.B.2.1, M11.C.1.2 What angle pairs are formed by transversals?](https://reader035.fdocuments.us/reader035/viewer/2022062421/56649d6e5503460f94a4fae6/html5/thumbnails/1.jpg)
Chapter 3.1: Identify Chapter 3.1: Identify Pairs of Lines and AnglesPairs of Lines and Angles
![Page 2: Chapter 3.1: Identify Pairs of Lines and Angles. M11.B.2.1, M11.C.1.2 What angle pairs are formed by transversals?](https://reader035.fdocuments.us/reader035/viewer/2022062421/56649d6e5503460f94a4fae6/html5/thumbnails/2.jpg)
M11.B.2.1, M11.C.1.2M11.B.2.1, M11.C.1.2
What angle pairs are formed by transversals?
![Page 3: Chapter 3.1: Identify Pairs of Lines and Angles. M11.B.2.1, M11.C.1.2 What angle pairs are formed by transversals?](https://reader035.fdocuments.us/reader035/viewer/2022062421/56649d6e5503460f94a4fae6/html5/thumbnails/3.jpg)
Parallel lines
◦ never intersect
◦ are coplanar
◦ The symbol for parallel lines is ||
◦ If line l is parallel to line m you can represent it with
l || m .
◦ When 2 drawn lines are parallel there will be little arrows or triangles on the lines.
![Page 4: Chapter 3.1: Identify Pairs of Lines and Angles. M11.B.2.1, M11.C.1.2 What angle pairs are formed by transversals?](https://reader035.fdocuments.us/reader035/viewer/2022062421/56649d6e5503460f94a4fae6/html5/thumbnails/4.jpg)
Are these parallel judging by sight?
![Page 5: Chapter 3.1: Identify Pairs of Lines and Angles. M11.B.2.1, M11.C.1.2 What angle pairs are formed by transversals?](https://reader035.fdocuments.us/reader035/viewer/2022062421/56649d6e5503460f94a4fae6/html5/thumbnails/5.jpg)
Are these parallel?
![Page 6: Chapter 3.1: Identify Pairs of Lines and Angles. M11.B.2.1, M11.C.1.2 What angle pairs are formed by transversals?](https://reader035.fdocuments.us/reader035/viewer/2022062421/56649d6e5503460f94a4fae6/html5/thumbnails/6.jpg)
Are these parallel?
![Page 7: Chapter 3.1: Identify Pairs of Lines and Angles. M11.B.2.1, M11.C.1.2 What angle pairs are formed by transversals?](https://reader035.fdocuments.us/reader035/viewer/2022062421/56649d6e5503460f94a4fae6/html5/thumbnails/7.jpg)
Are these parallel?
![Page 8: Chapter 3.1: Identify Pairs of Lines and Angles. M11.B.2.1, M11.C.1.2 What angle pairs are formed by transversals?](https://reader035.fdocuments.us/reader035/viewer/2022062421/56649d6e5503460f94a4fae6/html5/thumbnails/8.jpg)
Parallel PlanesParallel Planes
Parallel planes are two planes that do not intersect.
![Page 9: Chapter 3.1: Identify Pairs of Lines and Angles. M11.B.2.1, M11.C.1.2 What angle pairs are formed by transversals?](https://reader035.fdocuments.us/reader035/viewer/2022062421/56649d6e5503460f94a4fae6/html5/thumbnails/9.jpg)
Perpendicular PlanesPerpendicular Planes
Perpendicular Planes are planes that intersect at a 90˚ angle.
![Page 10: Chapter 3.1: Identify Pairs of Lines and Angles. M11.B.2.1, M11.C.1.2 What angle pairs are formed by transversals?](https://reader035.fdocuments.us/reader035/viewer/2022062421/56649d6e5503460f94a4fae6/html5/thumbnails/10.jpg)
Skewed LinesSkewed Lines
Skewed lines do not intersect, but are not coplanar.
The last 2 examples were examples of skewed lines.
![Page 11: Chapter 3.1: Identify Pairs of Lines and Angles. M11.B.2.1, M11.C.1.2 What angle pairs are formed by transversals?](https://reader035.fdocuments.us/reader035/viewer/2022062421/56649d6e5503460f94a4fae6/html5/thumbnails/11.jpg)
![Page 12: Chapter 3.1: Identify Pairs of Lines and Angles. M11.B.2.1, M11.C.1.2 What angle pairs are formed by transversals?](https://reader035.fdocuments.us/reader035/viewer/2022062421/56649d6e5503460f94a4fae6/html5/thumbnails/12.jpg)
Parallel PostulateParallel Postulate
If there is a line and a point not on that line, then you can draw only 1 line parallel to the line that passes through that point.
.Not parallel
![Page 13: Chapter 3.1: Identify Pairs of Lines and Angles. M11.B.2.1, M11.C.1.2 What angle pairs are formed by transversals?](https://reader035.fdocuments.us/reader035/viewer/2022062421/56649d6e5503460f94a4fae6/html5/thumbnails/13.jpg)
Perpendicular PostulatePerpendicular Postulate
If there is a line and a point, then there is one line that passes through the point that is perpendicular to the line.
. Not Perpendicular
![Page 14: Chapter 3.1: Identify Pairs of Lines and Angles. M11.B.2.1, M11.C.1.2 What angle pairs are formed by transversals?](https://reader035.fdocuments.us/reader035/viewer/2022062421/56649d6e5503460f94a4fae6/html5/thumbnails/14.jpg)
![Page 15: Chapter 3.1: Identify Pairs of Lines and Angles. M11.B.2.1, M11.C.1.2 What angle pairs are formed by transversals?](https://reader035.fdocuments.us/reader035/viewer/2022062421/56649d6e5503460f94a4fae6/html5/thumbnails/15.jpg)
Page 150
# 3-10
![Page 16: Chapter 3.1: Identify Pairs of Lines and Angles. M11.B.2.1, M11.C.1.2 What angle pairs are formed by transversals?](https://reader035.fdocuments.us/reader035/viewer/2022062421/56649d6e5503460f94a4fae6/html5/thumbnails/16.jpg)
TransversalsTransversals
Transversals are lines that intersect two or more coplanar lines at different points.
In other words a line that intersects 2 other lines.
transversal
![Page 17: Chapter 3.1: Identify Pairs of Lines and Angles. M11.B.2.1, M11.C.1.2 What angle pairs are formed by transversals?](https://reader035.fdocuments.us/reader035/viewer/2022062421/56649d6e5503460f94a4fae6/html5/thumbnails/17.jpg)
There are 4 different angle There are 4 different angle relationships created by a transversalrelationships created by a transversal
Corresponding angles: same side of transversal and of the individual lines. (angles 2 and 6)
Alternate interior: angles on the inside of the 2 lines, but on either side of the transversal. (angles 4 and 5)
![Page 18: Chapter 3.1: Identify Pairs of Lines and Angles. M11.B.2.1, M11.C.1.2 What angle pairs are formed by transversals?](https://reader035.fdocuments.us/reader035/viewer/2022062421/56649d6e5503460f94a4fae6/html5/thumbnails/18.jpg)
Alternate exterior: angles on the outside of the lines, but on opposite sides of the transversal. (angles 1 and 8)
Consecutive interior: angles on the inside of the lines and on the same side of the transversal. (angles 3 and 5)
![Page 19: Chapter 3.1: Identify Pairs of Lines and Angles. M11.B.2.1, M11.C.1.2 What angle pairs are formed by transversals?](https://reader035.fdocuments.us/reader035/viewer/2022062421/56649d6e5503460f94a4fae6/html5/thumbnails/19.jpg)
Identify Angles
2
1
3
4
5
6
7
8