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Jazlyn Hoppe

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Cards in this guide (22)
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 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 def by aas

Nothing else, the angle-angle-side is sufficient to show the triangles are congruent.

With two corresponding angles are equal, the third angles in the triangles by definition (the sum of the three angles in a triangle is 180o) must be equal making the triangles similar.

If a corresponding pair of sides are also equal, then the other two corresponding pairs of sides will be equal.

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

Is LNM OQP If so name the postulate that applies

Congruent - SAS

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

Bc= qr

The triangles below are garanteed to be congruent

False

AAA angle angle angle guarantees congruence between two triangles

No, it does not. It only guarantees similarity.

Is UVW congruent XYZ If so name the postulate that applies

not congruent

MNO PQR If so name the congruence postulate that applies

Congruent - SSS

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 be congruent to show that triangle ABC equals triangle XYZ by aas

Nicki Minaj

What is the degree measure of an angle that is congruent to 48 degrees

48 degrees

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.

Which sentence is most clearly about the relationship between a poems setting and mood

i honestly dont know

Is ABC DEF If so name the postulate that applies.

Nope Congruent - SSS Apex. You're welcome.

If lmn xyz which congruences are true by cpctc check all that apply.

ML=YZ ,

If QRS TUV which congruences are true by CPCTC Check all that apply.

QR=TU, QS=TV, angleR=angleU, and angleS= angleV

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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