Answer:
The correct option is;
C) AA Similarity Postulate
Step-by-step explanation:
The given parameters are;
BE║CD Given
∠A is congruent to ∠A Reflective property
∠ACD is congruent to ∠ABE Corresponding angles formed by parallel lines and a transversal
∠ADC is congruent to ∠AEB Corresponding angles formed by parallel lines and a transversal
ΔABE ~ ΔACD AA Similarity Postulate
When two angles of one triangle are equal to the corresponding two angles of another triangle, given that the third angle of both triangles are also equivalent based on sum of angles of a triangle postulate, the two triangles are said to be similar based on Angle-Angle (AA) Similarity Postulate.
Answer:
The corresponding pair of sides are in the same ratio.
Step-by-step explanation:
For two triangles to be similar, the theorem that is required is the corresponding sides of the two triangles are in the same ratio.
Now, see the diagram of two triangles given with the question.
The ratios of the corresponding sides are
If two pairs corresponding sides are in 5 : 4 ratio, then the third pair of corresponding sides will also be in 5 : 4 ratio.
Therefore, the two triangles are similar. (Answer)
They are proportional, since in 5/6 if you multiply both the numerator and denominator by 3, you get 15/18.