ΔABC ≅ ΔDBC under angle-side-angle (ASA) condition.
What precisely is meant by a triangle's congruency?
- Two triangles are considered to be congruent if their three corresponding sides are equal and their three corresponding angles are equal in size.
- These triangles can be decided to move, rotated, flipped, and turned to appear identical.
- If they are repositioned, they will coincide.
- Two triangles are congruent if they satisfy all five congruence conditions.
- They are side-side-side (SSS), side-angle-side (SAS), angle-side-angle (ASA), angle-angle-side (AAS), and right angle-hypotenuse-side (RHS).
So,
To prove: ΔABC ≅ ΔDBC
- BC = BC = (common:given)
- ∠BCA = BCD = (Given: CB bisects ∠C)
- ∠CBA = CBD = (Given: CB bisects ∠B)
Then, ΔABC ≅ ΔDBC under angle-side-angle (ASA) condition.
Therefore, ΔABC ≅ ΔDBC under angle-side-angle (ASA) condition.
Know more about the congruency of a triangle here:
brainly.com/question/2938476
#SPJ4
