Question

Geometry... Please help and I'll mark brainliest. Triangle proofs & reasons

Answer 1

Answer:

We are given that,

Polygons ABC and DBC are triangles.

Also, ABC and DBC are Right Triangles as ∠ABC and ∠DBC are 90 respectively.

AB ↔ CD

Now,

From the HL Congruency we know that,

"Two Right triangles are congruent if the Hypotenuses and at least One Side of both the triangles correspond to each other."

Here,

• Triangles ABC and DBC were given to be right triangles.

• AB and CD are the hypotenuses of ΔABC and Δ DBC respectively. (From the construction of the figure) and are given equal.
• The Side BC of both the triangles correspond as they share the side BC together.

Here, As the three conditions of being congruent through HL Congruency are satisfied, ΔABC &  Δ DBC are congruent through the HL Congruency Criterion.

ΔABC ≅ Δ DBC [Hence, Proved]