tuesday, august 13th
DESCRIPTION
Tuesday, August 13th. Identify each shape 1. H is between I and J . JI = 25 and IH = 13. Find HJ . _____ 2. Find each measurement. Homework Answers. Please ask if you have questions!. Angle Exploration. Need: Paper Protractor Lined sheet of paper. Discussion. - PowerPoint PPT PresentationTRANSCRIPT
![Page 1: Tuesday, August 13th](https://reader035.vdocuments.mx/reader035/viewer/2022062408/568132e3550346895d999e7d/html5/thumbnails/1.jpg)
TUESDAY, AUGUST 13TH
Identify each shape
1. H is between I and J.JI = 25 and IH = 13. Find HJ. _____ 2. Find each measurement
![Page 2: Tuesday, August 13th](https://reader035.vdocuments.mx/reader035/viewer/2022062408/568132e3550346895d999e7d/html5/thumbnails/2.jpg)
HOMEWORK ANSWERS Please ask if you have
questions!
![Page 3: Tuesday, August 13th](https://reader035.vdocuments.mx/reader035/viewer/2022062408/568132e3550346895d999e7d/html5/thumbnails/3.jpg)
ANGLE EXPLORATION
Need: Paper Protractor Lined
sheet of paper
Angle measure Sheet 1 Sheet 2
<ABC
<ABD
<DBC
![Page 4: Tuesday, August 13th](https://reader035.vdocuments.mx/reader035/viewer/2022062408/568132e3550346895d999e7d/html5/thumbnails/4.jpg)
DISCUSSION7. What did you notice about the measure of <ABC?
8. What was the relationship between measures of <ABC, <ABD, and <DBC?
Always 90˚ m<ABD + m<DBC=m<ABC
![Page 5: Tuesday, August 13th](https://reader035.vdocuments.mx/reader035/viewer/2022062408/568132e3550346895d999e7d/html5/thumbnails/5.jpg)
PART 1: NAMING ANGLES
![Page 6: Tuesday, August 13th](https://reader035.vdocuments.mx/reader035/viewer/2022062408/568132e3550346895d999e7d/html5/thumbnails/6.jpg)
An angle is a figure formed by two rays, or sides, with a common endpoint called the vertex (plural: vertices).
You can name an angle several ways: 1. by its vertex2. by a point on each ray and the vertex3. by a number.
![Page 7: Tuesday, August 13th](https://reader035.vdocuments.mx/reader035/viewer/2022062408/568132e3550346895d999e7d/html5/thumbnails/7.jpg)
The set of all points between the sides of the angle is the interior of an angle. The exterior of an angle is the set of all points outside the angle.
Angle NameR, SRT, TRS, or 1
![Page 8: Tuesday, August 13th](https://reader035.vdocuments.mx/reader035/viewer/2022062408/568132e3550346895d999e7d/html5/thumbnails/8.jpg)
A surveyor recorded the angles formed by a transit (point A) and three distant points, B, C, and D. Name three of the angles.
Possible answer:
BAC
CAD
BAD
Example 1
![Page 9: Tuesday, August 13th](https://reader035.vdocuments.mx/reader035/viewer/2022062408/568132e3550346895d999e7d/html5/thumbnails/9.jpg)
Write the different ways you can name the angles in the diagram.
RTQ, T, STR, 1, 2
Example 2
![Page 10: Tuesday, August 13th](https://reader035.vdocuments.mx/reader035/viewer/2022062408/568132e3550346895d999e7d/html5/thumbnails/10.jpg)
PART 2: MEASURING ANGLES
![Page 11: Tuesday, August 13th](https://reader035.vdocuments.mx/reader035/viewer/2022062408/568132e3550346895d999e7d/html5/thumbnails/11.jpg)
The measure of an angle is usually given in degrees. Since there are 360° in a circle, one degree is of a circle. When you use a protractor to measure angles, you are applying the following postulate.
![Page 12: Tuesday, August 13th](https://reader035.vdocuments.mx/reader035/viewer/2022062408/568132e3550346895d999e7d/html5/thumbnails/12.jpg)
![Page 13: Tuesday, August 13th](https://reader035.vdocuments.mx/reader035/viewer/2022062408/568132e3550346895d999e7d/html5/thumbnails/13.jpg)
PRACTICE! Draw 2 angles and measure
with your protractor!
![Page 14: Tuesday, August 13th](https://reader035.vdocuments.mx/reader035/viewer/2022062408/568132e3550346895d999e7d/html5/thumbnails/14.jpg)
Congruent angles are angles that have the same measure. In the diagram, mABC = mDEF, so you can write ABC DEF. This is read as “angle ABC is congruent to angle DEF.” Arc marks are used to show that the two angles are congruent.
Reminder!
![Page 15: Tuesday, August 13th](https://reader035.vdocuments.mx/reader035/viewer/2022062408/568132e3550346895d999e7d/html5/thumbnails/15.jpg)
PART 3: CONSTRUCTING ANGLES
http://www.youtube.com/watch?v=YphAYfe6J40
![Page 16: Tuesday, August 13th](https://reader035.vdocuments.mx/reader035/viewer/2022062408/568132e3550346895d999e7d/html5/thumbnails/16.jpg)
EXAMPLE #1- LET’S TRY TOGETHER!
Use your notes from Friday!!!!
“sharp point” = Bullseye end of compass
![Page 17: Tuesday, August 13th](https://reader035.vdocuments.mx/reader035/viewer/2022062408/568132e3550346895d999e7d/html5/thumbnails/17.jpg)
EXAMPLE #2- YOU TRY!
Use your notes from Friday!!!!
“sharp point” = Bullseye end of compass
![Page 18: Tuesday, August 13th](https://reader035.vdocuments.mx/reader035/viewer/2022062408/568132e3550346895d999e7d/html5/thumbnails/18.jpg)
PRACTICE A WORKSHEET
Homework