BD ≅ CA has proved by corresponding parts of congruent triangles are congruent.
What is a trapezoid?
It is defined as the quadrilateral having four sides in which two sides are parallel to each other, it is a 2-dimensional geometry.
We have given a trapezoid in which:
BA ≅ CD
It is required to prove BD ≅ CD
We can prove it as follows:
1) ABCD is a trapezoid (given)
2) BA ≅ CD (given)
3) ABCD is an isosceles trapezoid (definition of isosceles trapezoid)
4) AD ≅ AD (by using reflexive property)
5) Angle BAD is congruent to Angle CDA = 5) base angles theorem
6) Angle BAD ≅ angle CDA (base angle theorem)
7) BD ≅ CA (corresponding parts of congruent triangles are congruent)
Thus, BD ≅ CA has proved by corresponding parts of congruent triangles are congruent.
Learn more about the trapezoid here:
brainly.com/question/8643562
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