Bell Work What is a centroid? What is a circumcenter?

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Bell Work What is a centroid? What is a circumcenter? What is an incenter? The ________ is the same distance from all sides of a triangle. The ____________ divides the medians of a triangle into a 1:2 ratio. The ______ is the same distance from all the vertices of a triangle.

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5-1 through 5-4 Recap Rigor: Identify and apply theorems about perpendicular bisectors, angle bisectors, medians and midsegments. Relevance: center of gravity and indirect measurement

Transcript of Bell Work What is a centroid? What is a circumcenter?

Page 1: Bell Work What is a centroid? What is a circumcenter?

Bell Work What is a centroid? What is a circumcenter? What is an incenter? The ________ is the same distance from all

sides of a triangle. The ____________ divides the medians of

a triangle into a 1:2 ratio. The ______ is the same distance from all

the vertices of a triangle.

Page 2: Bell Work What is a centroid? What is a circumcenter?

5-1 through 5-4 Recap

Rigor: Identify and apply theorems about perpendicular bisectors, angle bisectors, medians and midsegments.Relevance: center of gravity and indirect measurement

Page 3: Bell Work What is a centroid? What is a circumcenter?

Review Problems: Solve for the variables

3x + 1

7x – 11

5x – 15

A C

B

D

4y - 7 2y + 5

1) 2)

Page 4: Bell Work What is a centroid? What is a circumcenter?

Review Problems continued3) Use a straight edge to draw an acute triangle

and construct the angle bisectors of the triangle. What is the point of concurrency called?

4) Use a straight edge to draw an obtuse triangle and construct the perpendicular bisectors of the triangle. What is the point of concurrency called?

Page 5: Bell Work What is a centroid? What is a circumcenter?

Review Problems final5) XA = 10. What is AB & XB?

6)

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Finishing 5-3 & 5-4 NotesExample: Coordinate Geometry

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Ex: Center of GravityTo the below are plans for a triangular piece of a mobile. Where should the support be attached so the mobile is balanced?

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Heading: 5-3 & 5-4 Classwork Geometry

Textbook pg 329 #3 – 7, 28Textbook pg 336 #3 – 9, 21, 22

Geometry HonorsTextbook pg 328 #3, 28 – 32Textbook pg 336 # 6 – 8, 17 – 22

Quiz Thursday/Friday on 5-1 through 5-4

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5- 3 & 5-4 Homework From Core Book Geometry

5-3 pg 209 #1 – 4, pg 210 #1 & 25-4 pg 213 #1 – 9, pg 214 #1 & 2

Geometry Honors5-3 pg 209 #1 – 4, 8, 9; pg 210 #1 & 25-4 pg 213 #1 – 6, 10; pg 214 #1 & 2

Due Thursday for periods 1, 3, 5 Due Friday for periods 2, 4, 7