Question

please tell the answer of questions 11 ​

Answer 1

Question:

In the adjoining figure, AX bisects angle BAC as well as angle BDC. State the three facts needed to ensure that ∆ABD ≅ ∆ACD.

Step-by-step explanation:

Corresponding parts of Congruent triangles i.e. CPCT; can be predicted without knowing the acutal sides and the angles of a triangle.

Rules of congruency are:

1. SSS (Side-Side-Side)
2. AAS (Angle-Angle-Side)
3. SAS (Side-Angle-Side)
4. ASA (Angle-Side-Angle)
5. RHS (Right angle-Hypotenuse-Side)

Let's see which one rule fixes in the given question.

Given that, AX bisects ∠BAC as well as ∠BDC. So,

In ∆ABD and ∆ACD

∠CAD = ∠BAD

AD = AD (common side)

∠CDA = ∠BDA

By ASA

ΔABD ≅ ∆ACD