DesmoGirl

The hardest part of this project was moving around the diagonal lines, and also making them fit to the other lines and be equal .The easiest part of this project was making straight lines and moving them up and down or side to side ,because personally that's the easiest thing to do on a desmo calculator. The most fun part of the project for me was seeing the final product and what you have made. Because you have worked hard to make it so once your done and see how cool it looks you feel proud .

The hard part of this project for me was moving the lines to where they have to go ,and making them equal so the desmo girl looked right. The easy part of this project was making straight lines ,because personally that's the easiest thing to do on a this graph. The most fun part about this project is seeing your finished product. This is my favorite part to because you have worked so hard to see something good

Study Guide 7.4-7.6

7.4 Showing Triangles Are Similar : SSS and SAS

Side-Side-Side Similarity Theorem

-If the corresponding sides of two triangles are proportional ,then the triangles are similar .

Side -Angle -Side Similarity Theorem

-If an angle of one triangle is congruent to an angle of a second triangle and the lengths of the sides that include these angle are proportional ,then the triangles are similar .

7.5   Proportions and Similar Triangles

Triangle Proportionality Theorem
-If a line parallel to one side of a triangle intersects the other the sides ,then it divides the two sides proportionally .

 

Converse of the Triangle Proportionality Theorem

       -If a line divides two sides of a triangle proportionally ,then it is parallel to the third side .

The Midsegment Theorem
       - The segment connecting the midpoints of two sides of a triangle is parallel to the third side and is half as long .

 
 

 

 

 

 

 

7.6   Dilation
A dilation is a transformation with center C and scale factor K that maps each point P to and image p' so P' lies on segment CP and CP' = K x CP .

O= center of Dilation
A= point
A'= image

Types of Dilation
      -If the image is smaller than the original figure ,then the dilation is a REDUCTION .If the image is larger than the dilation it is an ENLARGMENT .

Scale Factor -The scale factor of a dilation is the ratio of CP' to CP.

 

 

Study Guide 7.1-7.3

7.1   Ratio and Proportion

-A ratio is a comparison of a number a and a nonzero number b using division .
              -Ratios can be written in 3 way . (a to b ... a/b ... a:b)
-A proportion is an equation that states that two ratios are equal.
             

The numbers b and c are the means , and the numbers a and d are the extremes of the proportion .

Cross Product Property - In a proportion ,the product or the extremes is equal to the product of the means .  (a x d =c x d)

7.2    Similar Polygons

In geometry ,two figures that have the same shape are called similar .

Two polygons are SIMILAR POLYGONS if the corresponding angles are congruent and corresponding side lengths are proportional .

 If two polygons are similar ,then the ratio of the lengths of two corresponding sides is called the SCALE FACTOR.

Perimeters of Similar Polygons
     - If two polygons are similar ,then the ratio of their perimeters is equal to the ratio of their corresponding side lengths .

7.3 Showing Triangles Are Similar : AA

Angle -Angle Similarity Postulate (AA)
- If two angles of one triangle are congruent to two angles of another triangle ,then the two triangles are similar .