Question

Write the mid point theorum completely.​

Answer 1

Answer:

statement :The line segment joining the mid point of any 2 side of a triangle is parallel to the third side and equal to half of it.

Step-by-step explanation:

1. Given, In tri ABC D and E are mid point of side AB and AC. construction :extend AB to F so that DE =EF. To prove :DE=1/2BC and DE //BC. proof :IN tri ade and cef
2. <aed =<cef (vertically opposite angle
3. ae=ce (e is mid point
4. de=ef(construction
5. ade congruent to triangle cef (sas rule
6. ad=cf(cpct
7. <adf=<cfe (cpct 1)
8. ad=bd(d is mid point 2)
9. from 1and 2
10. bd=cf
11. bd//cf
12. in quadrilateral bcfd
13. bd=cf
14. bd//cf(3)
15. so bcfd is parallel ogram
16. bc=fd and bc//df (opposite side of parallelogram
17. 1/2bc=1/2df
18. 1/2bc=de and bc//df
19. de=1/2bc and bc//de
20. hope it helps
21. mark it as brainliest