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Mathematics 21 Online
OpenStudy (anonymous):

help help

OpenStudy (anonymous):

OpenStudy (anonymous):

Can you prove that DEF ~ HGF? Justify your answer. A. Yes, the triangles are congruent by SAS. B. Yes, the triangles are congruent by SSS. C. Yes, the triangles are congruent by SSA. D. No, not enough information is given.

hartnn (hartnn):

do you see any sides or angles given as congruent ?

OpenStudy (anonymous):

DE ~ GH

hartnn (hartnn):

huh ? thats the only side NOT given as congruent!

OpenStudy (anonymous):

nop

ganeshie8 (ganeshie8):

very bad luck lol :P

hartnn (hartnn):

so which are the sides given as congruent ?

hartnn (hartnn):

you can also answer, 'How many sides are already given as congruent?'

OpenStudy (anonymous):

E G

hartnn (hartnn):

those are angles right ?

OpenStudy (anonymous):

lol idk

ganeshie8 (ganeshie8):

use this : if two sides have same number of `dash` marks, then they're congruent/equal.

ganeshie8 (ganeshie8):

you need to knw how to interpret `dash` language

hartnn (hartnn):

|dw:1399377618912:dw|

OpenStudy (anonymous):

they are congruent but idk if there SSS,SAS,SSA

OpenStudy (anonymous):

i think is SSS

hartnn (hartnn):

SSS means all 3 sides are equal but here its given that only 2 sides are equal

hartnn (hartnn):

the pair of sides with same `dashes` on them

OpenStudy (anonymous):

so whats SSA and SAS

hartnn (hartnn):

look at their included angles do you know about vertically opposite angles ?

hartnn (hartnn):

|dw:1399377897779:dw| a and b are vertically opposite angles, and hence they are equal

hartnn (hartnn):

in same way angle EFD and angle HFG are vertically opposite angles and they will be equal

OpenStudy (anonymous):

SAS

hartnn (hartnn):

so 2 sides and an included angle in between, gives side - angle -side SAS yes.

hartnn (hartnn):

also there is no test like SSA at all

OpenStudy (anonymous):

lol thanks

hartnn (hartnn):

welcome :)

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