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I NEED HELP ASAP PLEASE!!!! I'm having trouble with a math problem can someone help me with this? (100 POINTS!!!)

I NEED HELP ASAP PLEASE Im having trouble with a math problem can someone help me with this 100 POINTS class=

Respuesta :

Answer:

1st Option is correct

Step-by-step explanation:

Since the SAS Postulate deals with 2 sides being equal and the angle between them being equal, BC=CD & AC is a common side, so, the angle between the sides is ∠BCA and ∠DCA

So, if AC⊥BD, ∠BCA=∠DCA

∴1st Option is correct

Answer:

[tex]\text{AC}\perp\text{BD}[/tex]

Explanation:

[tex]\text{If AC}\perp\text{BD}:\\\text{In triangles ABC and ADC,}\\\text{i. }\text{BC = CD (S)}\ \ \ [\text{Given}]\\\text{ii. }\angle \text{ACB = }\angle \text{ACD (A)}\ \ \ [\text{AC}\perp\text{BD}]\\\text{iii. }\text{AC = AC (S) [Common side]}\\\text{iv. }\triangle \text{ABC}\cong\triangle \text{ADC}\ \ \ [\text{By S.A.S. postulate}][/tex]