Respuesta :

Answer:

C.

Step-by-step explanation:

ACE is a straight line that connects to line AB and line DE.

AB & ED have same gradient which mean that it is parallel.

The parts of triangles which are congruent is ∠A ≅ ∠E which is option (C)

What is congruent triangle?

  • In geometry, two figures or objects are congruent if they have the same shape and size, or if one has the same shape and size as the mirror image of the other
  • Congruent triangles are triangles that have the same size and shape.
  • This means that the corresponding sides are equal and the corresponding angles are equal.
  • We can tell whether two triangles are congruent without testing all the sides and all the angles of the two triangles.

How to solve this problem?

The steps are as follow:

  • As ACE is a straight line which connects to line AB and DE
  • Also the line AB and ED are parallel because their gradient are same
  • So from above mention two reasons we can say that their is congruence between angle A and angle E

So the parts of triangles which are congruent is ∠A ≅ ∠E which is option (C)

Learn more about Congruent triangle here:

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