GEOMETRY HELP? Waiting for an hour! 20 points! Please!

Side CB is perpendicular to side AD at B between A and D. ∠BCA ≅ ∠BCD and side AC ≅ side DC. Which congruency statements (HL, AAS, ASA, SAS, and SSS) can you use to conclude that triangle ABC ≅ DBC?

HL, AAS, and ASA
HL and ASA
HL, AAS, ASA, and SAS
HL, AAS, ASA, SAS, and SSS

Respuesta :

Unfortunately, I do not know how to add visuals to describe my work.

After drawing the triangle and reviewing congruency statements, I've come to the conclusion that the first option is correct.
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GEOMETRY HELP? Waiting for an hour! 20 points! Please!

Side CB is perpendicular to side AD at B between A and D. ∠BCA ≅ ∠BCD and side AC ≅ side DC. Which congruency statements (HL, AAS, ASA, SAS, and SSS) can you use to conclude that triangle ABC ≅ DBC?

HL, AAS, and ASA