perpendicular bisector of a segment and angle bisector geometry mr. zampetti unit 2, day 2 notes...
TRANSCRIPT
![Page 1: Perpendicular Bisector of a Segment and Angle Bisector Geometry Mr. Zampetti Unit 2, Day 2 Notes adapted from:](https://reader036.vdocument.in/reader036/viewer/2022062309/56649e725503460f94b7089a/html5/thumbnails/1.jpg)
Perpendicular Bisector of a Segment and Angle Bisector
GeometryMr. ZampettiUnit 2, Day 2
Notes adapted from: http://www.regentsprep.org/Regents/math/geometry/math-GEOMETRY.htmPhotos from: http://www.wikihow.com/
![Page 2: Perpendicular Bisector of a Segment and Angle Bisector Geometry Mr. Zampetti Unit 2, Day 2 Notes adapted from:](https://reader036.vdocument.in/reader036/viewer/2022062309/56649e725503460f94b7089a/html5/thumbnails/2.jpg)
Definition
Bisect - To cut into two congruent (equal) pieces.
![Page 3: Perpendicular Bisector of a Segment and Angle Bisector Geometry Mr. Zampetti Unit 2, Day 2 Notes adapted from:](https://reader036.vdocument.in/reader036/viewer/2022062309/56649e725503460f94b7089a/html5/thumbnails/3.jpg)
Constructing a Perpendicular Bisector
• You will be given a segment that looks similar to this:
A B
![Page 4: Perpendicular Bisector of a Segment and Angle Bisector Geometry Mr. Zampetti Unit 2, Day 2 Notes adapted from:](https://reader036.vdocument.in/reader036/viewer/2022062309/56649e725503460f94b7089a/html5/thumbnails/4.jpg)
Constructing a Perpendicular Bisector
• Step 1: Place your compass point on A and stretch the compass MORE THAN half way to point B.
![Page 5: Perpendicular Bisector of a Segment and Angle Bisector Geometry Mr. Zampetti Unit 2, Day 2 Notes adapted from:](https://reader036.vdocument.in/reader036/viewer/2022062309/56649e725503460f94b7089a/html5/thumbnails/5.jpg)
Constructing a Perpendicular Bisector
• Step 2: Swing a large arc that will go BOTH above and below the segment
![Page 6: Perpendicular Bisector of a Segment and Angle Bisector Geometry Mr. Zampetti Unit 2, Day 2 Notes adapted from:](https://reader036.vdocument.in/reader036/viewer/2022062309/56649e725503460f94b7089a/html5/thumbnails/6.jpg)
Constructing a Perpendicular Bisector
• Step 3: Without changing the compass, place the compass point on B and swing the arc again. **The two arcs should intersect**
![Page 7: Perpendicular Bisector of a Segment and Angle Bisector Geometry Mr. Zampetti Unit 2, Day 2 Notes adapted from:](https://reader036.vdocument.in/reader036/viewer/2022062309/56649e725503460f94b7089a/html5/thumbnails/7.jpg)
Constructing a Perpendicular Bisector
• Step 4: With your straightedge, connect the two points of intersection
![Page 8: Perpendicular Bisector of a Segment and Angle Bisector Geometry Mr. Zampetti Unit 2, Day 2 Notes adapted from:](https://reader036.vdocument.in/reader036/viewer/2022062309/56649e725503460f94b7089a/html5/thumbnails/8.jpg)
This is what it will look like:
![Page 9: Perpendicular Bisector of a Segment and Angle Bisector Geometry Mr. Zampetti Unit 2, Day 2 Notes adapted from:](https://reader036.vdocument.in/reader036/viewer/2022062309/56649e725503460f94b7089a/html5/thumbnails/9.jpg)
Watch the video!
Regentsprep.org
![Page 10: Perpendicular Bisector of a Segment and Angle Bisector Geometry Mr. Zampetti Unit 2, Day 2 Notes adapted from:](https://reader036.vdocument.in/reader036/viewer/2022062309/56649e725503460f94b7089a/html5/thumbnails/10.jpg)
![Page 11: Perpendicular Bisector of a Segment and Angle Bisector Geometry Mr. Zampetti Unit 2, Day 2 Notes adapted from:](https://reader036.vdocument.in/reader036/viewer/2022062309/56649e725503460f94b7089a/html5/thumbnails/11.jpg)
Now practice…
![Page 12: Perpendicular Bisector of a Segment and Angle Bisector Geometry Mr. Zampetti Unit 2, Day 2 Notes adapted from:](https://reader036.vdocument.in/reader036/viewer/2022062309/56649e725503460f94b7089a/html5/thumbnails/12.jpg)
Constructing an Angle Bisector
• You will be given an angle that looks similar to this:
B
A C
![Page 13: Perpendicular Bisector of a Segment and Angle Bisector Geometry Mr. Zampetti Unit 2, Day 2 Notes adapted from:](https://reader036.vdocument.in/reader036/viewer/2022062309/56649e725503460f94b7089a/html5/thumbnails/13.jpg)
Constructing an Angle Bisector
• Step 1: Place the point of the compass on the vertex (point A)
• Step 2: Stretch the compass to any length as it stays ON the angle
![Page 14: Perpendicular Bisector of a Segment and Angle Bisector Geometry Mr. Zampetti Unit 2, Day 2 Notes adapted from:](https://reader036.vdocument.in/reader036/viewer/2022062309/56649e725503460f94b7089a/html5/thumbnails/14.jpg)
Construction an Angle Bisector
• Step 3: Swing an arc so the pencil crosses both sides of the angle. This will create two intersection points with the sides (rays) of the angle.
• Step 4: Place the compass point on one of these new intersection points and while staying between the sides of the angle, place an arc in this interior
![Page 15: Perpendicular Bisector of a Segment and Angle Bisector Geometry Mr. Zampetti Unit 2, Day 2 Notes adapted from:](https://reader036.vdocument.in/reader036/viewer/2022062309/56649e725503460f94b7089a/html5/thumbnails/15.jpg)
Construction an Angle Bisector• Step 5: Without changing the width
of the compass, place the point of the compass on the other intersection point and make the same arc. **Your two small arcs in the interior of the angle should be crossing**
• Step 6: Connect the point where the two small arcs cross to the vertex of the angle (point A)
![Page 16: Perpendicular Bisector of a Segment and Angle Bisector Geometry Mr. Zampetti Unit 2, Day 2 Notes adapted from:](https://reader036.vdocument.in/reader036/viewer/2022062309/56649e725503460f94b7089a/html5/thumbnails/16.jpg)
This is what it will look like:
![Page 17: Perpendicular Bisector of a Segment and Angle Bisector Geometry Mr. Zampetti Unit 2, Day 2 Notes adapted from:](https://reader036.vdocument.in/reader036/viewer/2022062309/56649e725503460f94b7089a/html5/thumbnails/17.jpg)
Watch the video!
Regentsprep.org
![Page 18: Perpendicular Bisector of a Segment and Angle Bisector Geometry Mr. Zampetti Unit 2, Day 2 Notes adapted from:](https://reader036.vdocument.in/reader036/viewer/2022062309/56649e725503460f94b7089a/html5/thumbnails/18.jpg)
![Page 19: Perpendicular Bisector of a Segment and Angle Bisector Geometry Mr. Zampetti Unit 2, Day 2 Notes adapted from:](https://reader036.vdocument.in/reader036/viewer/2022062309/56649e725503460f94b7089a/html5/thumbnails/19.jpg)
Now practice…