Here is the answer to your query.
Consider two ∆ABC and ∆PQR. In these two triangles ∠B = ∠Q = 90�, AB = PQ and AC = PR.
We can prove the R.H.S congruence rule i.e. to prove ∆ABC ≅ ∆PQR
We need the help of SSS congruence rule.
We have AB = PQ, and AC = PR
So, to prove ∆ABC ≅ ∆PQR in SSS congruence rule we just need to show BC = QR
Now, using Pythagoras theorems in ∆ABC and ∆PQR
Now, in ∆ABC and ∆PQR
AB = PQ, BC = QR, AC = PR
∴ ∆ABC ≅ ∆PQR [Using SSS congruence rule]
So, we have AB = PQ, AC = PR, ∠B = ∠Q = 90� and we have proved ∆ABC ≅ ∆PQR. This is proof of R.H.S. congruence rule.
Hope! This will help you.
Cheers!!!
It's actually angle B angle Y
pfft no, it's AC = DF
AC is congruent to DF.
B=Y
or
C=Z
Line segment BC is congruent to Line Segment YZ
Angle "A" is congruent to Angle "D"
congruent - SSS
Answer by Arteom, Friday December 10, 2010
AAS is equal to angle-angle-side, and is descriptive of a triangle. JKL and MNO would be the sides and angles of a triangle. The two sides must be congruent to the opposite angle.
True.
Only if the given angle is between the two sides will the two triangles guarantee to be congruent (SAS), unless the given angle is a right angle (90°) in which case you now have RHS (Right-angle, Hypotenuse, Side) which does guarantee congruence.
False
Bc= qr
true
True -- SSA does NOT guarantee congruence.
Only SAS, SSS, and ASA can do that (and AAS, because if two pairs of corresponding angles are congruent, the third has to be).
false
k,l n;lm;m
The triangles must be congruent.
angle B angle Y
(Tested, correct)
Nicki is not the answer, just ignore that.
Nope Congruent - SSS Apex. You're welcome.
__ - __
AC = XZ
True