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anonymous
 one year ago
HELP!! MEDAL + FAN
Use the figure below to answer the question that follows:
What must be given to prove that ΔBJI ~ ΔCJG?
A. segment BH is congruent to segment CH and segment BG is congruent to segment CI
B. ∠BIJ ≅ ∠CGJ and ∠JBI ≅ ∠JIB
C. segment BI is congruent to segment CG and
D. segment JI is congruent to segment JG
∠BIJ ≅ ∠CGJ and ∠BJI ≅ ∠CJG
anonymous
 one year ago
HELP!! MEDAL + FAN Use the figure below to answer the question that follows: What must be given to prove that ΔBJI ~ ΔCJG? A. segment BH is congruent to segment CH and segment BG is congruent to segment CI B. ∠BIJ ≅ ∠CGJ and ∠JBI ≅ ∠JIB C. segment BI is congruent to segment CG and D. segment JI is congruent to segment JG ∠BIJ ≅ ∠CGJ and ∠BJI ≅ ∠CJG

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0@peachpi @Hero @welshfella @ganeshie8 @theopenstudyowl

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1Which methods of proving triangles similar do you know?

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1I know: AA SAS Similarity SSS Similarity

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0aa yes sorry i forgot that one.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1In your given problem, do the triangles have any pair of sides or angles that is congruent?

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1dw:1441305297304:dw

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1I drew the figure twice above because the triangles we are trying to prove similar overlap, so I think it's easier to separate the figures.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1dw:1441305484271:dw

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1This new figure shows the triangles we want to prove similar. Which pair of angles or sides do they have in common that we know are congruent?

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1No. We are not told anything bout BF and EC, and also, BF and EC are not sides of our two triangles.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1dw:1441305708106:dw

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1Look at the figure above. Angle J is in common to both triangles, so we already have a pair of congruent corresponding angles.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1<BJI and <CJG are congruent because they are really the same angle.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1Since we already have a pair of congruent angles, we will probably use AA or SAS Similarity, and not SSS Similarity.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1To use AA, we need one more pair of corresponding angles that are congruent. Let's look at the choices.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Wouldnt it be CJG? like it says there

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1In choice B, the congruent angles are not corresponding, so they don't help.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1In choice A, the segments are not sides of our triangle, so choice A does not help.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0So its between choice C and D.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1In choice C, we have only one pair of corresponding sides congruent. That is not enough for SAS Similarity.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0D makes more sense to me

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1Yes, choice D shows a pair of congruent sides and two pairs of congruent angles. Using the two pairs of congruent angles of choice D, we can prove the triangles similar by AA.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Thank you so much for helping!
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