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Aptitude · Q88

Triangles

Competitive Exams · Aptitude · question 88

Q88

In ΔABC, two points D and E are taken on the lines AB and BC respectively in such a way that AC is parallel to DE. Then ΔABC and ΔDBE are :

A.
Similar only if D lies outside the line segment AB
B.
Congruent only If D lies out side the line segment AB
C.
Always similar
Answer
D.
Always congruent

Answer: Option C

Solution

Answer: Option C
Solution:
According to question,
Give :
'D' and 'E' are the points on AB and BC
Triangles mcq solution image
AC || DE
∠D = ∠A
∠E = ∠C
∴ ΔBDE ∼ ΔBAC