I'm assuming these aren't problems assigned for homework otherwise your teacher would know how to work them.
Triangles - Congruency
Here are 3 questions i cant solve & when asking my teacher, he couldnt solve too
Question 1:
Triangle ABC and Triangle DEF are such
that AB=DE , AC=DF, AM Perpendicular to BC
and DN Perpendicular to EF . Prove that Triangle
ABC is Congurent to Triangle DEF
[In the figure
triangles are not joined. they are 2 triangles
drawn, at side of each other & both triangles
doesnt have any line connected.]
Question 2:
The Image of an object placed at point
A before a plane mirror LM is seen at the point
B by an observer at D. Prove that the image is
as far behined as the object is seen in front of
the mirror[No Figure Given]
Question 3:
in Triangle ABC, The bisectors of Angle B and
Angle C meet at P. Through P, a straight line MPN is
Drawn parallel to BC. Prove that MN = BM + CN
[No figure Given]
Note: Please show figures and stuff.
Yes this isnt a type of homework. these questions were given in refference books of my Grade. extra questions etc. I use the book inmy tution & my tution teacher cant solve it. i have summer holidays, so i cant ask the teacher at the moment.
I think there is a way to solve the 1st question.
Wont Angle BAC and Angle be equal since the lines creating them are equal?
Hello, shaurya!
I think I've got #3 . . .
Question 3
In Triangle ABC, the bisectors of angle B and angle C meet at P.
Through P, a straight line MPN is drawn parallel to BC.
Prove that MN = BM + CNCode:A * * * * * * * * * * * * * * P * M *--------*---- N * * * * * * * B *-----------------* C
Since BP is the bisector of angle B:
Since (alt-int angles)
. . Hence: is isosceles and
Since CP is the bisector of angle C:
Since
. . Hence: is isosceles and
Then we have: .