slide1 l.
Download
Skip this Video
Loading SlideShow in 5 Seconds..
Constructions PowerPoint Presentation
Download Presentation
Constructions

Loading in 2 Seconds...

play fullscreen
1 / 34

Constructions - PowerPoint PPT Presentation


  • 124 Views
  • Uploaded on

Constructions. Centoids. Review of Prerquisite. To construct a perpendicular bisector you need a . Fish . Let’s begin !. Medians. A Median is a segment connecting the vertex of a triangle to the opposite midpoint.

loader
I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.
capcha
Download Presentation

PowerPoint Slideshow about 'Constructions' - shelly


An Image/Link below is provided (as is) to download presentation

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.


- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -
Presentation Transcript
slide2

Review of Prerquisite

To construct a perpendicular bisector you need a ...

Fish.

Let’s begin !

slide3

Medians

A Median is

a segment connecting the vertex of a triangle to the opposite midpoint.

slide6

Construction of the Median

Start with the FISH to find a midpoint of side BC.

Start with the base and point B.

slide8

Construct arc from point C past the midpoint of BC

Connect the arc intersection points to find the midpoint.

Construct the median from A to the midpoint.

slide11

Construct arc from point A past the midpoint of BA

Connect the arc intersection points to find the

midpoint.

Construct the median from C to the midpoint.

slide12

It is not necessary to construct all three medians because…

Two intersecting lines determine a point.

Centroid

slide13

It is only necessary to draw 2 medians.

The third median would only intersect the other lines at the same point.

We will now look at several examples of centroids to solidify your understanding.

slide14

1

3

2

4

slide16

Construction of the Median

Start with the FISH to find a midpoint of side BC.

Start with the base and point B.

slide18

Construct arc from point C past the midpoint of BC

Connect the arc intersection points to find the midpoint.

Construct the median from A to the midpoint.

slide20

Construct arc from point A past the midpoint of BA

Connect the arc intersection points to find the

midpoint.

Construct the median from C to the midpoint.

slide21

It is not necessary to construct all three medians because…

Two intersecting lines determine a point.

Centroid

slide22

When two medians intersect then they divide each other into a small segment and a large segment.

Let’s look at several situations.

slide27

The ratio is always 2:1

Therefore…

10

If DF = 5, then AD = _____

?

5

slide28

10

If DF = 5, then AD = _____

?

7

slide29

6

If AD = 12, then DF = _____

12

?

slide30

8

If AD = 16, then DF = _____

16

?

slide31

Summary

1. A Median is

a segment connecting the vertex of a triangle to the opposite midpoint.

2. The three medians of a triangle are concurrent.

3. The point of concurrency is called

a centroid.

slide32

Summary

4. When two medians intersect then they divide each other into a large segment and a small segment.

slide33

Summary

5. The centroid is always inside the triangle.

6. To construct the median you…

You construct a fish on 2 sides.

You connect the opposite vertex to the midpoint.

slide34

C’est fini.

Good day and good luck.

That’s all folks.

A Senior Citizen Production