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Isidro O'Keefe

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Cards in this guide (20)
How do you prove rhs congruence

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!!!

What else would need to be congruent to show that abc xyz by aas

It's actually angle B angle Y

What else would need to be congruent to show that abc def by sas

pfft no, it's AC = DF

What else would need to be congruent to show that abc def by the aas theorem

AC is congruent to DF.

What else would need to be congruent to show that abc xyz by asa

B=Y

or

C=Z

What else would need to be congruent to show that abc xyz by sas

Line segment BC is congruent to Line Segment YZ

What else would need to be congruent to show that abc def by asa

Angle "A" is congruent to Angle "D"

Is LMN OPQ If so name the congruence postulate that applies

congruent - SSS

Answer by Arteom, Friday December 10, 2010

What else would need to be congruent to show that jkl mno by aas

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.

SSA does not guarantee congruence between two triangles

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.

AAA guarantees congruence between two triangles

False

What else would need to be congruent to show that abc pqr by sss

Bc= qr

SSA side-side-angle guarantees congruence between two triangles

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).

The triangles below will always be congruent

false

When was Fort Smuter attacked

k,l n;lm;m

What must be true before using corresponding parts of congruent triangles are congruent in a proof

The triangles must be congruent.

What else would need to congruent to show that abc is congruent to xyz by asa

angle B angle Y

(Tested, correct)

Nicki is not the answer, just ignore that.

Is ABC DEF If so name the postulate that applies.

Nope Congruent - SSS Apex. You're welcome.

What else would need to be congruent to show that abc congruent xyz by SAS

__ - __

AC = XZ

  • = is the similar sign
In JKL and PQR if J P K Q and L R then JKL must be congruent to PQR

True

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