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According to the given information, quadrilateral RECT is a rectangle. By the definition of a rectangle, all four angles measure 90°. Segment ER is parallel to segment CT and segment EC is parallel to segment RT by the Converse of the Same-Side Interior Angles Theorem. Quadrilateral RECT is then a parallelogram by definition of a parallelogram. Now, construct diagonals ET and CR. Because RECT is a parallelogram, opposite sides are congruent. Therefore, one can say that segment ER is congruent to segment CT. Segment TR is congruent to itself by the Reflexive Property of Equality. The _______________ says triangle ERT is congruent to triangle CTR. And because corresponding parts of congruent triangles are congruent (CPCTC), diagonals ET and CR are congruent.
Can someone please check to see if its correct?
You say side angle side theorem right?
Yes, but i think im wrong.
hm... So what's your final decision?
I think is that one but im not sure, i just need help to understand it
Like explaining to me
ok let's mark what's in Geofrey's proof in the diagram... Can you do it for me?|dw:1440103234043:dw|
It states that Segment ER is parallel to segment CT and segment EC is parallel to segment RT
just click on the right top corner pencil of the diagram I just posted... You can mark the data yourself..
It would be fun. Believe me!
Sorry for the mess i was trying to make it dark enouugh.
No problem :)
Geoffrey says that segment ER is congruent to segment CT. Can you mark that?
And segment TR is congruent for itself... I'll mark that for you... or would you like to mark it yourself?
I could do it if you want
So now we have this:|dw:1440103862809:dw|
I've shown that ER=CT by putting one line over them and RT=RT by putting two lines... Did you get that?
Yes, i got that!
Now we have to show that ET=RC. So what are the congruent triangles we have to consider?
EC and RT? i really dont know.
EC and RT are line segments. Now our goal is to show that ET=RC right?
Very well... To show that what are the triangles we've to consider? Have a guess ;)
We have to prove the congruence?
I was so nervous answering that.
look at what we've marked so far... you've to just tell me congruent triangles.... !!!
Okay let me figure it out
ert and ctr?
Was my first answer correct?
Thank you so much for your help!
I got it right in my test! thanksss
Don't be frightened to do mistakes... :)