need help with homework! | Mathematics | Page 1

patent canyon Jun 2, 2023, 1:12 AM

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need some assistance with this question if anyone is willing to help it is greatly apprectiated

vivid gate Jun 2, 2023, 1:28 AM

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Is it given that EB || DC?

patent canyon Jun 2, 2023, 1:36 AM

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no thats it

spice venture Jun 2, 2023, 1:56 AM

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vivid gate Is it given that EB || DC?

yes... that's what those arrows show

vivid gate Jun 2, 2023, 2:00 AM

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spice venture yes... that's what those arrows show

New thing for me / I forgot if I ever knew this

vivid gate Jun 2, 2023, 2:07 AM

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patent canyon no thats it

As Mr PDF said, the arrow means the line EB and line segment (side of triangle ACD) are parallel

So we know that when 2 parallel lines/line segment (EB and CD in this case) are cut by another line (AB in this case), they subtend equal angle where the 3rd line cuts the parallel ones

In this case, ang(AEB) = ang(ADC) for the same reason

And also, ang(ABE) = ang(ACD) for the same reason.

Now we have 2 angles for both the ∆AEC & ∆ADC

Hence by AA similiarity theorem, both triangles are similar

patent canyon Jun 2, 2023, 2:09 AM

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tyy

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hey could you pls help me out with a couple more questons

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#need help with homework!