Answer:
Step-by-step explanation:
Based on the image, this appears to be a two-column proof in geometry. Here are the steps I would take to complete this proof:
1) Statements:
1. ABD is an isosceles triangle
2. ∠ADB = ∠ABD (Given)
3. ∠ADB and ∠ABD are corresponding angles (Definition of corresponding angles)
4. ∠ADB ≅ ∠ABD (If two angles are corresponding angles, then they are congruent)
2) Reasons:
1. Given
2. Isosceles triangle theorem
3. Definition of corresponding angles
4. Corresponding angles are congruent
So in summary:
- Statements 1 and 2 establish ABD is an isosceles triangle with congruent base angles
- Statement 3 notes ∠ADB and ∠ABD are corresponding angles by definition
- Statement 4 concludes the angles are congruent based on the fact they are corresponding angles in the isosceles triangle ABD
Let me know if you need any clarification or have additional questions!
