d,e,f are the mid points of the sides bc, ca,and ab respectively of triangle abc then triangle def is - Maths - Triangles

Question

d,e,f are the mid points of the sides bc, ca,and ab respectively
of triangle abc then triangle def is congruent to triangle:

triangle abc
triangle aef
triangle bfd,cde
triangle afe,bfd,cde

Tushar Kohli · Accepted Answer

The following figure explains the situation given:
<img alt="" width="287" height="179" src=
"https://s3mn%20mnimgs%20com/img/shared/discuss_editlive/3446883/2012_09_18_23_15_53/demtuhyg968188885143943611%20jpg">
Note that FE will be parallel to BC and also half of it This can be
understood by learning the mid-point theorem and its converse
Hence, FE = BD = DC
Similarly, ED = QF = FB and FD = AE = EC
Hence by SSS we have the four triangles DEF, AFE, FBD and EDC
congruent Option 4 is correct

d,e,f are the mid points of the sides bc, ca,and ab respectively of triangle abc. then triangle def is congruent to triangle: triangle abc triangle aef triangle bfd,cde triangle afe,bfd,cde

d,e,f are the mid points of the sides bc, ca,and ab respectively of triangle abc. then triangle def is congruent to triangle:

triangle abc

triangle aef

triangle bfd,cde

triangle afe,bfd,cde