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Mathematics 8 Online
OpenStudy (anonymous):

Write the missing statements and reasons of the proof. Given:

OpenStudy (anonymous):

|dw:1355528472985:dw|

OpenStudy (anonymous):

|dw:1355529709485:dw|

OpenStudy (sirm3d):

what do you think is the reason for #1?

OpenStudy (anonymous):

Given

OpenStudy (sirm3d):

at #2. why are the triangles BAD and BCD right triangles?

OpenStudy (anonymous):

? because they have right angles

OpenStudy (anonymous):

90 degrees

OpenStudy (sirm3d):

that's exactly the definition of a right triangle. Reason #2: Definition of a Right Triangle

OpenStudy (anonymous):

thnxs now how do i get number three

OpenStudy (sirm3d):

what do think is reason #3?

OpenStudy (anonymous):

umm they are congruent

OpenStudy (anonymous):

?

OpenStudy (sirm3d):

it is part of the given.

OpenStudy (anonymous):

so #3 is part of a given

OpenStudy (sirm3d):

Reason #3: Given

OpenStudy (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.

OpenStudy (anonymous):

oh okay i get it now statement 4 this is a little harder

OpenStudy (anonymous):

? :-(

OpenStudy (anonymous):

help plz

OpenStudy (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?

OpenStudy (anonymous):

Triangle BCD?

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