emalvidrez5205
18.09.2019 •
Mathematics
Given: ∠bcd is right; bc ≅ dc; df ≅ bf; fa ≅ fe which relationships in the diagram are true? check all that apply.
△acf ≅ △ecf by hl
△cbf ≅ △cdf by sss
△bfa ≅ △dfe by sas
△cfd ≅ △efd by sss
△cbe ≅ △cda by hl
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Ответ:
Therefore, △ C B F ≅ △ C D F by S S S
Given that F A ≅ F E
i.e. A F ≅ E F
Also, given that D F ≅ B F
i.e. F D ≅ F B
This means that A F + F D ≅ E F + F B which means that A D ≅ E B
Now, given that ∠ B C D is right, this means that △ C B E is a right triangle with the right angle at C and E B as its hypothenus. Also △ C D A is a right triangle with the right angle at C and A D as its hypothenus.
Thus, given that A D ≅ E B and the legs B C ≅ D C, therefore, △ C B E ≅ △ C D A by H L.
Therefore, the true statements are:
△CBF ≅ △CDF by SSS, and
△CBE ≅ △CDA by HL
Ответ:
Triangle CBE =~ Triangle CDA by HL b/c hypotenuse, leg and right angle =~
Triangle BFA =~ Triangle DFE by SAS b/c side, angle, side are =~
Triangle CBF =~ Triangle CDF by SSS b/c side, side, side are =~
Plus, I got it correct on the quiz :)
Step-by-step explanation:
Ответ:
Answer = 116° Choice : E