Question

Helppp me pleaasee!! ​

Answer 1

• Statement 3:
  `\angle ACB \cong \angle ACD`
• Statement 4:
  `\angle B \cong \angle D`
• Reason 1: Reflexive Property
• Reason 5: AAS

Explanation:

• Statement 3: This is valid because we have split angle BCD into two equal pieces. This is what "bisect" means when it comes to angles.
• Statement 4: You had the correct answer. It's sometimes good to go with your gut instinct. Each "given" is simply a copy/paste from what your teacher gave you to the table itself. It seems silly but it's important for proofs. Usually the givens are written at the very top of the table, and then you build from there.
• Reason 1: The reflexive property states that any segment is congruent to itself. Seems silly but it's useful. It's useful because it helps us split the quadrilateral into two triangles.
• Reason 5: Use the statements 1, 3 and 4 to conclude that the triangles are congruent due to AAS. This stands for "angle angle side". It's very similar to ASA, but the congruent sides are not between the congruent angles. Statements 3 and 4 handle the two "A"s of AAS, while statement 1 handles the "S" of AAS.