anonymous
  • anonymous
Write the missing statements and reasons of the proof. Given:
Mathematics
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anonymous
  • anonymous
|dw:1355528472985:dw|
anonymous
  • anonymous
|dw:1355529709485:dw|
sirm3d
  • sirm3d
what do you think is the reason for #1?

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anonymous
  • anonymous
Given
sirm3d
  • sirm3d
at #2. why are the triangles BAD and BCD right triangles?
anonymous
  • anonymous
? because they have right angles
anonymous
  • anonymous
90 degrees
sirm3d
  • sirm3d
that's exactly the definition of a right triangle. Reason #2: Definition of a Right Triangle
anonymous
  • anonymous
thnxs now how do i get number three
sirm3d
  • sirm3d
what do think is reason #3?
anonymous
  • anonymous
umm they are congruent
anonymous
  • anonymous
?
sirm3d
  • sirm3d
it is part of the given.
anonymous
  • anonymous
so #3 is part of a given
sirm3d
  • sirm3d
Reason #3: Given
sirm3d
  • sirm3d
there are two given informations. (1) the right angles A and C, and (2) the congruent segments AB and CB. so you can use the reason "Given" twice.
anonymous
  • anonymous
oh okay i get it now statement 4 this is a little harder
anonymous
  • anonymous
? :-(
anonymous
  • anonymous
help plz
sirm3d
  • sirm3d
the reflexive property is used when something is congruent/equal to itself, like \(\overline{PQ} \cong \overline{PQ}\) or \(\angle X \cong \angle X\) in the problem, what triangle part is used or common to the two triangles?
anonymous
  • anonymous
Triangle BCD?
sirm3d
  • sirm3d
what is the common part, maybe an angle or a segment, of the two triangles?
sirm3d
  • sirm3d
|dw:1355534984211:dw|
anonymous
  • anonymous
BD
anonymous
  • anonymous
segment BD
sirm3d
  • sirm3d
right. \[\overline {BD} \cong \overline {BD}\]
anonymous
  • anonymous
5 is triangle BAD=BCD am i right
sirm3d
  • sirm3d
that goes into statement #5.
sirm3d
  • sirm3d
right it is. and for the reason?
anonymous
  • anonymous
I already have the reason done HL
anonymous
  • anonymous
how about statement 6
sirm3d
  • sirm3d
the last line is what you were supposed to prove, \(\overline{AD}\cong \overline{CD}\)
anonymous
  • anonymous
thats what i thought thnxs so much for ur patience
sirm3d
  • sirm3d
YW

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