Grade 10 - Math - LO.4 - Similarity

 

  

We have in LO.4 Math G10

First: the Concepts

-Similarity

-Transformation (reduction and magnification)

-Proportionality

-Parallel lines and proportional parts

-Angle bisectors

Second: the References

-Geometry Packet in the Unit Materials Folder pages 1 to 25

-Math Connections 2a 1.10

-Math Connections Geometry 2a, 2.9, 2.10

-Geometry Packet in the Unit Materials Folder pages 27 to 38

Third: the Videos links

Fourth: Skills

-Determine axes of similarity

-Draw the image of a shape (using reduction and magnification)

-Solve problems and applications using proportionality theorems

-Prove the angle bisector theorem

-Stretching and shrinking angles and areas

-Stretching and Shrinking volumes

-Finding the scaling factor (area and volume)

-Solve problems related to geometric shapes

Fifth: the materials as PPT., DOCX., and PDF

In the Drive from this link

Few Notes:

Similar

 

Two shapes are Similar when one can become the other after a resize, flip, slide or turn.

Resizing

If one shape can become another using Resizing (also called dilation, contraction, compression, enlargement or even expansion), then the shapes are Similar:

	These Shapes are Similar!

If there is no need to resize, then the shapes are better called Congruent*.

There may be Turns, Flips or Slides, Too!

Sometimes it can be hard to see if two shapes are similar, because you may also need to turn, flip or slide a shape.

Rotation		Turn!
Reflection		Flip!
Translation		Slide!

Examples

Here are 3 examples of shapes that are Similar:

Resized		Resized and Reflected		Resized and Rotated

Why is it useful?

When two shapes are similar, then:

• corresponding angles are equal, and
• the lines are in proportion.

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