Question

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

Answer 1

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 2

Answer:

$\text{AC}\perp\text{BD}$

Explanation:

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