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Mathematics 14 Online
OpenStudy (anonymous):

Determine if the two figures are congruent and explain your answer.

OpenStudy (anonymous):

OpenStudy (anonymous):

@Michele_Laino

OpenStudy (alexandervonhumboldt2):

congruent figures have same sides and same angles.

OpenStudy (michele_laino):

I think that in order to establish if such geometric shapes are congruent, we have to find a geometric transformation, which to one shape does correspond the other geometric shape

OpenStudy (anonymous):

so what would the answer be im confused

OpenStudy (anonymous):

I wrote idk if this is right

OpenStudy (anonymous):

the triangles are congruent because all the side lengths are same.the side lengths are same from the diagram because each side is occupying the same number of grids.

OpenStudy (michele_laino):

here is my reasoning: we have to make a traslation first, like below: |dw:1448903455996:dw|

OpenStudy (michele_laino):

subsequently, we can make a reflection around the poit R, like below: |dw:1448903657500:dw|

OpenStudy (anonymous):

OpenStudy (michele_laino):

since the reflected shape is equal to the second shape, then we can conclude that both original shapes are congruent

OpenStudy (anonymous):

so just write since the reflected shape is equal to the second shape, then we can conclude that both original shapes are congruent

OpenStudy (anonymous):

Idk what towrite

OpenStudy (michele_laino):

please they are not triangles, they are quadrilateral. In general the concept of congruence between two geometric shape, refers to a rigid motion (or a transformation of the geometric plane) which allows us to overlap exactly the two shapes, we think they are congruent

OpenStudy (michele_laino):

shapes*

OpenStudy (michele_laino):

So, I think that it is better if you write my explanation above

OpenStudy (anonymous):

this explanation:please they are not triangles, they are quadrilateral. In general the concept of congruence between two geometric shape, refers to a rigid motion (or a transformation of the geometric plane) which allows us to overlap exactly the two shapes, we think they are congruent

OpenStudy (michele_laino):

no, no, that is my reply. Here is a possible answer: "Since we can get an exactly overlapping of the two shapes, if we apply an appropriate traslation plus an appropriate reflection, then we can conclude that the two geometric shapes are congruent each to other"

OpenStudy (michele_laino):

oops.. an exact* overlapping...

OpenStudy (anonymous):

oh ok thanks

OpenStudy (anonymous):

can u helpmeonone morequestion

OpenStudy (michele_laino):

ok!

OpenStudy (anonymous):

OpenStudy (michele_laino):

I think that first we have to make a traslation, in order to get an exact overlapping of the points T and T', like this: |dw:1448904470632:dw|

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