For this discussion your group must answer the following essential questions:
- What does it mean when we say two or more figures are similar?
- How can you conclude that two or more figures are similar?
- How does scale factor influence similarity between figures?
- How do we conclude two or more triangles are similar?
What happen Group #1?
ReplyDeletewhen someone says two or more figures are similar it means that their concepts of the shape are equal and alike. For example say there were two right isosceles different sizes one big and one small their still similar. There both the same type of triangle, they both have a 90 degree (right) angle.
ReplyDeleteTwo figures that have the same shape, but are not the same exact size are similar. They resemble without being identical. One way you can conclude that two or more figures are similar is that when two or more figures are similar, the ratios of the lengths of their corresponding sides are equal.
ReplyDeleteBrittany what you mean by Ratios?
ReplyDeleteI'm referring to the concept that a ratio shows the relative sizes of two or more values....
ReplyDeleteBut isn't ratio comparing something???
DeleteIn mathematics, a ratio is a relationship between two numbers not really a comparing it's like saying x to y (x:y) or 6 to 7 (6:7)
DeleteOh kk just making sure thank you
DeleteQ: How does scale factor influence similarity between figures?
ReplyDeleteA: Scale Factor influences similarity between figures in a way that if their corresponding sides are not proportional, they cannot be similar. You can do so by identifying the corresponding angles to show whether or not two figures are proportional.
What are corresponding angles?
DeleteCorresponding angles occupy the same relative position at each intersection where a straight line crosses two others. If the two lines are parallel, the corresponding angles are equal.
DeleteQ: How do we conclude two or more triangles are similar?
ReplyDeleteA: By identifying the triangle's interior angles and testing if the corresponding sides are in the same ratio in both triangles we can then conclude that the triangles are similar.
R: (This Link elaborates more on the Topic: http://www.mathsisfun.com/geometry/triangles-similar-finding.html )
By identifying the interior of a triangle do you mean like identifying if is isosceles, scalene, equilateral ect..... and the rules for each of them???
ReplyDeleteYou can do that to simply the process and eliminate steps.
DeleteWhat? Eliminate what step?
DeleteThe process of identifying the angles, if you look at the link it states you don't even need to identify all the angles in the triangles just 2 at most. If you find that a triangle has 2 of the same angles at 60 degrees then you have an equilateral. Like that.
Deletekk that makes sense thx for elaborating on it
DeleteHERE YOU CAN SEE EXAMPLES OF FIGURES THAT ARE SIMILAR: http://www.mathvillage.info/node/94 ALSO, THIS WEBSITE MAY ANSWER SOME QUESTIONS THAT ARE LEFT WITHOUT ELABORATE EXPLAINATIONS
ReplyDeleteHere is a quick, fun and entertaining video on the topic about similar figures
ReplyDeletehttp://www.youtube.com/watch?v=n754Zp-6b9Q
(If you cant click on the link, copy and paste)
HERE IS ANOTHER VIDEO, EXPLAINING THE SCALE FACTOR AND IT'S INFLUENCE BETWEEN FIGURES:
ReplyDeletehttp://www.youtube.com/watch?v=XtkU4VkWh8I
Here is another video that explains the differences between Similar and Congruent figures
ReplyDelete( http://www.youtube.com/watch?v=yFQ6VvxB-mQ )
This video was helpful thx .
DeleteBy the videos and website you guys posted I understood better what is ratio and how to conclude/identity if the triangles are similar or not and much more thx guys
ReplyDeletewhat does proportional mean
ReplyDeleteAre you asking for an exact Definition?
DeleteTamara proportional means corresponding in size or amount to something else. basiaclly a similiar figure but one is twice as big as the other but have the same ratio like these two pictures http://www.mathsisfun.com/definitions/proportional.html
DeleteTriangles are similar if they have the same shape
ReplyDelete