∠A ≅ ∠C under the CPCT condition (coresponding parts of congurent triangles).
What accurately does the term "triangle congruency" mean?
- 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 moved, 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 the side-side-side (SSS), side-angle-side (SAS), angle-side-angle (ASA), angle-angle-side (AAS), and right angle-hypotenuse-side (RHS).
So,
Given: BD bisects ∠B and BD ⊥ AC.
To prove: ∠A ≅ ∠C
First, prove that △ABD≅△BDC.
- ∠DBA ≅ ∠DBC = Given: BD bisects ∠B
- ∠BDA ≅ ∠BDC = (90°) Given: BD ⊥ AC
So, △ABD≅△BDC under AA condition.
- Then, ∠A ≅ ∠C under CPCT condition.
Therefore, ∠A ≅ ∠C under the CPCT condition (coresponding parts of congurent triangles).
Know more about the congruency of a triangle here:
brainly.com/question/2938476
#SPJ4
