#I’m stuck on question 11

31 messages · Page 1 of 1 (latest)

sacred cosmos
dreamy oysterBOT
loud rock
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The diagonals of a rectangle are equal and bisect each other

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Which means that AE = EC, and same for the other

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@sacred cosmos

sacred cosmos
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Here

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What about DFC

loud rock
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The triangle?

sacred cosmos
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Ya

loud rock
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AE = EC and BE = ED

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SSS criterion

sacred cosmos
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Isn’t ED apart of triangle DEC

loud rock
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Yeah

sacred cosmos
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And not apart of DFC?

loud rock
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Oh, sorry I read the question wrong

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Hold on

loud rock
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The sides of rhombus are equal

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So DE = EC = CF = DF

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So AE = EC = CF and BE = ED = DF

loud rock
sacred cosmos
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What about question B

loud rock
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So since the two triangles are congruent, angles BAE = CDF

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And since CF AND DF are equal, angle CDF = DCF = 58

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So now that you have two angles, calculate the third angle (DFC)

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EF is diagonal of rhombus, and the diagonals of rhombus bisect the angles,
Which means that DFE = FEC = 1/2 of DFC

sacred cosmos
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Got it

loud rock
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Yep

sacred cosmos
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Thanks for ur help