Q. 163.5( 8 Votes )

# <span lang="EN-US

Answer :

Given : BA AC and DE EF such that BA=DE and BF=DC

To prove: AC = EF

Proof:

In ∆ABC, we have,

BC = BF + FC

And , in ∆DEF,

FD = FC + CD

But, BF = CD

So, BC = BF + FC

And, FD = FC +BF

BC = FD

So, in ∆ABC and ∆DEF, we have,

BAC = DEF … given

BC = FD

AB = DE …given

Thus by Right angle - Hypotenuse- Side property of congruence, we have,

∆ABC DEF

Hence, we know that, corresponding parts of the congruent triangles are equal

AC = EF

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos  Revision on Angle sum Property of Triangles44 mins  Concentration of a Solution - Part 246 mins  Concentration of a Solution - Part 142 mins  Variation in g with Rotation of Earth42 mins  Arc of Circle And Related IMP Qs40 mins  Surface Area and Volume of solids Revision43 mins  Circles- All kinds of Questions36 mins  Significance of Newton's Laws in daily life42 mins  Variation in g due to Height and Depth33 mins  Sphere and Hemisphere42 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation view all courses RELATED QUESTIONS :

<span lang="EN-USRS Aggarwal & V Aggarwal - Mathematics

<span lang="EN-USRS Aggarwal & V Aggarwal - Mathematics

<span lang="EN-USRS Aggarwal & V Aggarwal - Mathematics

<span lang="EN-USRS Aggarwal & V Aggarwal - Mathematics

<span lang="EN-USRS Aggarwal & V Aggarwal - Mathematics

<span lang="EN-USRS Aggarwal & V Aggarwal - Mathematics

In two congruent RD Sharma - Mathematics

In two triangles RD Sharma - Mathematics

If ABC andRD Sharma - Mathematics