geometry warm ups. 7-5 proportions in triangles side-splitter theorem when two or more parallel...
DESCRIPTION
Side-Splitter Theorem When two or more parallel lines intersect other lines, proportional segments are formed. (Copy the picture and the Then…part)TRANSCRIPT
![Page 1: Geometry warm ups. 7-5 PROPORTIONS IN TRIANGLES Side-Splitter Theorem When two or more parallel lines…](https://reader035.vdocuments.net/reader035/viewer/2022070616/5a4d1c077f8b9ab0599f1ec2/html5/thumbnails/1.jpg)
Geometry warm ups
![Page 2: Geometry warm ups. 7-5 PROPORTIONS IN TRIANGLES Side-Splitter Theorem When two or more parallel lines…](https://reader035.vdocuments.net/reader035/viewer/2022070616/5a4d1c077f8b9ab0599f1ec2/html5/thumbnails/2.jpg)
7-5 PROPORTIONS IN TRIANGLES
![Page 3: Geometry warm ups. 7-5 PROPORTIONS IN TRIANGLES Side-Splitter Theorem When two or more parallel lines…](https://reader035.vdocuments.net/reader035/viewer/2022070616/5a4d1c077f8b9ab0599f1ec2/html5/thumbnails/3.jpg)
Side-Splitter TheoremWhen two or more parallel lines intersect other lines, proportional segments are formed.(Copy the picture and the Then…part)
![Page 4: Geometry warm ups. 7-5 PROPORTIONS IN TRIANGLES Side-Splitter Theorem When two or more parallel lines…](https://reader035.vdocuments.net/reader035/viewer/2022070616/5a4d1c077f8b9ab0599f1ec2/html5/thumbnails/4.jpg)
Problem 1
• What is the value of x?
x = 3
![Page 5: Geometry warm ups. 7-5 PROPORTIONS IN TRIANGLES Side-Splitter Theorem When two or more parallel lines…](https://reader035.vdocuments.net/reader035/viewer/2022070616/5a4d1c077f8b9ab0599f1ec2/html5/thumbnails/5.jpg)
Try with a Partner
• What is the value of a?
a = 8
![Page 6: Geometry warm ups. 7-5 PROPORTIONS IN TRIANGLES Side-Splitter Theorem When two or more parallel lines…](https://reader035.vdocuments.net/reader035/viewer/2022070616/5a4d1c077f8b9ab0599f1ec2/html5/thumbnails/6.jpg)
Corollary
![Page 7: Geometry warm ups. 7-5 PROPORTIONS IN TRIANGLES Side-Splitter Theorem When two or more parallel lines…](https://reader035.vdocuments.net/reader035/viewer/2022070616/5a4d1c077f8b9ab0599f1ec2/html5/thumbnails/7.jpg)
Problem 2
![Page 8: Geometry warm ups. 7-5 PROPORTIONS IN TRIANGLES Side-Splitter Theorem When two or more parallel lines…](https://reader035.vdocuments.net/reader035/viewer/2022070616/5a4d1c077f8b9ab0599f1ec2/html5/thumbnails/8.jpg)
Triangle-Angle-Bisector Theorem• The bisector of an angle of a triangle divides the opposite
side into two segments with lengths proportional to the sides of the triangle that form the angle.
![Page 9: Geometry warm ups. 7-5 PROPORTIONS IN TRIANGLES Side-Splitter Theorem When two or more parallel lines…](https://reader035.vdocuments.net/reader035/viewer/2022070616/5a4d1c077f8b9ab0599f1ec2/html5/thumbnails/9.jpg)
Problem 3• What is the value of x?
![Page 10: Geometry warm ups. 7-5 PROPORTIONS IN TRIANGLES Side-Splitter Theorem When two or more parallel lines…](https://reader035.vdocuments.net/reader035/viewer/2022070616/5a4d1c077f8b9ab0599f1ec2/html5/thumbnails/10.jpg)
Try on your own
• What is the value of y in the diagram?
![Page 11: Geometry warm ups. 7-5 PROPORTIONS IN TRIANGLES Side-Splitter Theorem When two or more parallel lines…](https://reader035.vdocuments.net/reader035/viewer/2022070616/5a4d1c077f8b9ab0599f1ec2/html5/thumbnails/11.jpg)
Try with your Partner • What is the value of x?
![Page 12: Geometry warm ups. 7-5 PROPORTIONS IN TRIANGLES Side-Splitter Theorem When two or more parallel lines…](https://reader035.vdocuments.net/reader035/viewer/2022070616/5a4d1c077f8b9ab0599f1ec2/html5/thumbnails/12.jpg)
Homework
•Pg. 475 # 9 – 22 all, 38 – 40