ze4life
Write the missing statements and reasons of the proof.
Given:<A and <C are rt.<s; AB=CB
Prove:AD=CD
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ze4life
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|dw:1355528472985:dw|
ze4life
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|dw:1355529709485:dw|
sirm3d
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what do you think is the reason for #1?
ze4life
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Given
sirm3d
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at #2. why are the triangles BAD and BCD right triangles?
ze4life
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? because they have right angles
ze4life
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90 degrees
sirm3d
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that's exactly the definition of a right triangle. Reason #2: Definition of a Right Triangle
ze4life
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thnxs now how do i get number three
sirm3d
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what do think is reason #3?
ze4life
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umm they are congruent
ze4life
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?
sirm3d
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it is part of the given.
ze4life
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so #3 is part of a given
sirm3d
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Reason #3: Given
sirm3d
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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.
ze4life
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oh okay i get it now statement 4 this is a little harder
ze4life
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? :-(
ze4life
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help plz
sirm3d
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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?
ze4life
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Triangle BCD?
sirm3d
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what is the common part, maybe an angle or a segment, of the two triangles?
sirm3d
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|dw:1355534984211:dw|
ze4life
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BD
ze4life
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segment BD
sirm3d
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right. \[\overline {BD} \cong \overline {BD}\]
ze4life
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5 is triangle BAD=BCD am i right
sirm3d
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that goes into statement #5.
sirm3d
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right it is. and for the reason?
ze4life
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I already have the reason done HL
ze4life
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how about statement 6
sirm3d
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the last line is what you were supposed to prove, \(\overline{AD}\cong \overline{CD}\)
ze4life
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thats what i thought thnxs so much for ur patience
sirm3d
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YW