3-1: Angles
description
Transcript of 3-1: Angles
![Page 1: 3-1: Angles](https://reader036.fdocuments.in/reader036/viewer/2022081504/5681411e550346895daced0f/html5/thumbnails/1.jpg)
![Page 2: 3-1: Angles](https://reader036.fdocuments.in/reader036/viewer/2022081504/5681411e550346895daced0f/html5/thumbnails/2.jpg)
OPPOSITE RAYS: Two rays that are part of the same line and have only their endpoints in common.◦ Example: XZ and XY are opposite rays
STRAIGHT ANGLE: The figure formed byopposite rays
XY
Z
![Page 3: 3-1: Angles](https://reader036.fdocuments.in/reader036/viewer/2022081504/5681411e550346895daced0f/html5/thumbnails/3.jpg)
ANGLE: A figure where two rays have a common endpoint.
VERTEX: The common endpoint of an angle SIDES: The rays that make up an angle
S R
T
1
![Page 4: 3-1: Angles](https://reader036.fdocuments.in/reader036/viewer/2022081504/5681411e550346895daced0f/html5/thumbnails/4.jpg)
There are several ways to name the angle below.◦ Use the vertex and a point from each side
The vertex letter is always in the middle RST or TSR
◦ Use the vertex only If there is more than one angle at the vertex, then
you cannot use this method S
◦ Use a number Only useful when a number is given 1
S R
T
1
![Page 5: 3-1: Angles](https://reader036.fdocuments.in/reader036/viewer/2022081504/5681411e550346895daced0f/html5/thumbnails/5.jpg)
Name the angle below in four ways. Then identify its vertex and its sides.
4 Names: Vertex: Sides:
HI
G
3
GHI, IHG, H, 3H, 3
HG, HI
![Page 6: 3-1: Angles](https://reader036.fdocuments.in/reader036/viewer/2022081504/5681411e550346895daced0f/html5/thumbnails/6.jpg)
Name all angles having W as their vertex
By letters:
By numbers & letters:
RWS, SWT, TWU, RWT, SWU, RWU
3, 4, 5, RWT, SWU, RWU
![Page 7: 3-1: Angles](https://reader036.fdocuments.in/reader036/viewer/2022081504/5681411e550346895daced0f/html5/thumbnails/7.jpg)
An angle separates a plane into three parts: the INTERIOR of an angle, the EXTERIOR of an angle, and the angle itself.◦ In the figure to the right, point
W and all other points in blueare in the interior region
◦ Point V and all other points inthe beige area are in theexterior region
◦ Points X, Y, and Z are on the angle.
![Page 8: 3-1: Angles](https://reader036.fdocuments.in/reader036/viewer/2022081504/5681411e550346895daced0f/html5/thumbnails/8.jpg)
Tell whether each point is in the interior, exterior, or on the angle
D: E: F:
InteriorOnExterior
![Page 9: 3-1: Angles](https://reader036.fdocuments.in/reader036/viewer/2022081504/5681411e550346895daced0f/html5/thumbnails/9.jpg)
Assignment◦ Worksheet #3-1