Answer :
The given triangles are congruent following the side angle side (SAS) congruency .
Given,
- AB⊥ BC
- AD⊥ DC
- BC≅ AD
∴ ∠ A = ∠ B = ∠ C = ∠ D =90°
In Δ ABC and Δ CDA
AB = CD
∠ BAC= ∠ DAC
AB= AD
∴ By Side Angle Side congruent property
Δ ABC ≅ Δ CDA
Congruent refers to figures that are similar in all respects, primarily in terms of size and shape. Congruence describes how two congruent figures relate to one another.
The relationship between two figures that are congruent is referred to as congruence. Let's talk about the triangle SAS congruence now. We don't necessarily need to look into all the sides and angles to determine whether the two triangles are identical.
Triangles must be congruent to mean,
There are no different comparable angle pairs.
It is equal on all comparable sides.
To learn more about congruency
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