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
D. Always congruent
Answer: Option C
Solution(By Examveda Team)
According to question,Give :
'D' and 'E' are the points on AB and BC
AC || DE
∠D = ∠A
∠E = ∠C
∴ ΔBDE ∼ ΔBAC
Related Questions on Triangles
If ABC and PQR are similar triangles in which ∠A = 47° and ∠Q = 83°, then ∠C is:
A. 50°
B. 70°
C. 60°
D. 80°
In the following figure which of the following statements is true?
A. AB = BD
B. AC = CD
C. BC + CD
D. AD < Cd
Join The Discussion