answersLogoWhite

0

Geometry

User Avatar

Leland Grant

Lvl 10
∙ 5y ago
3.0
☆★☆★☆★☆★☆★
2 Reviews
Add a rating
Term1/28
How do you prove rhs congruence
Definition1/28

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!!!

Term1/28
What else would need to be congruent to show that abc xyz by aas
Definition1/28

It's actually angle B angle Y

Term1/28
What else would need to be congruent to show that abc def by sas
Definition1/28

pfft no, it's AC = DF

Term1/28
What else would need to be congruent to show that abc def by the aas theorem
Definition1/28

AC is congruent to DF.

Term1/28
What else would need to be congruent to show that abc xyz by asa
Definition1/28

B=Y

or

C=Z

Term1/28
What else would need to be congruent to show that abc xyz by sas
Definition1/28

Line segment BC is congruent to Line Segment YZ

Term1/28
What else would need to be congruent to show that abc def by aas
Definition1/28

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.

Term1/28
What else would need to be congruent to show that abc def by asa
Definition1/28

Angle "A" is congruent to Angle "D"

Term1/28
Is LMN OPQ If so name the congruence postulate that applies
Definition1/28

congruent - SSS

Answer by Arteom, Friday December 10, 2010

Term1/28
What else would need to be congruent to show that jkl mno by aas
Definition1/28

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.

Term1/28
Is XYZ ABC If so name the postulate that applies
Definition1/28

SAS

Term1/28
If abc def equal def equal mno and mno equal pqr then abc equal pqr by the transitive property
Definition1/28

False. If ABC definitely equals DEF equals MNO and MNO equals PQR then ABC does not equal PQR by the transitive property.

Term1/28
SSA does not guarantee congruence between two triangles
Definition1/28

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.

Term1/28
AAA guarantees congruence between two triangles
Definition1/28

False

Term1/28
What else would need to be congruent to show that abc pqr by sss
Definition1/28

Bc= qr

Term1/28
The triangles below will always be congruent
Definition1/28

false

Term1/28
You can find the blank parts of two congrent triangles by aligning them perfectly on top of each other
Definition1/28

It is actually "CORRESPONDING"..

Term1/28
Is UVW congruent XYZ If so name the postulate that applies
Definition1/28

not congruent

Term1/28
MNO PQR If so name the congruence postulate that applies
Definition1/28

Congruent - SSS

Term1/28
When was Fort Smuter attacked
Definition1/28

k,l n;lm;m

Term1/28
What must be true before using corresponding parts of congruent triangles are congruent in a proof
Definition1/28

The triangles must be congruent.

Term1/28
What else would need to congruent to show that abc is congruent to xyz by asa
Definition1/28

angle B angle Y

(Tested, correct)

Nicki is not the answer, just ignore that.

Term1/28
The SSS Postulate states that if the sides of one triangle are congruent to the sides of a second triangle then the triangles are congruent
Definition1/28

Yes, it does.

Term1/28
Which sentence is most clearly about the relationship between a poems setting and mood
Definition1/28

i honestly dont know

Term1/28
Is ABC DEF If so name the postulate that applies.
Definition1/28

Nope Congruent - SSS Apex. You're welcome.

Term1/28
If lmn xyz which congruences are true by cpctc check all that apply.
Definition1/28

ML=YZ ,

Term1/28
What else would need to be congruent to show that abc congruent xyz by SAS
Definition1/28

__ - __

AC = XZ

  • = is the similar sign
Term1/28
In JKL and PQR if J P K Q and L R then JKL must be congruent to PQR
Definition1/28

True

🥳
Great job!
You studied all the cards in this guide.
Rate this guide:
☆★☆★☆★☆★☆★

Rate this Study Guide:

☆★☆★☆★☆★☆★
Cards in this guide (28)
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 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

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.

Is XYZ ABC If so name the postulate that applies

SAS

If abc def equal def equal mno and mno equal pqr then abc equal pqr by the transitive property

False. If ABC definitely equals DEF equals MNO and MNO equals PQR then ABC does not equal PQR by the transitive property.

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

The triangles below will always be congruent

false

You can find the blank parts of two congrent triangles by aligning them perfectly on top of each other

It is actually "CORRESPONDING"..

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

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.

The SSS Postulate states that if the sides of one triangle are congruent to the sides of a second triangle then the triangles are congruent

Yes, it does.

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 ,

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

Related study guides
Trending Questions
How much money is grand larceny in NC? How many square feet in 17 X 17 inches? What is the function of judicial commission? What is the minimum down payment required for a mortgage with 5 down? How many people attended the Super bowl in 2010? Where do us army special forces train? What is the absolute value of l-6l? What kind of transmission does the 2012 Toyota Sienna have? What is balanced in the balanced scorecard approach? What is a substrate what happens when a substrate is exhausted? What is the court's job in civil cases? What do you need to bring on a Busch Gardens trip? Where are all the places you see Suicune? How can the moon be out during the day? How long did it take Rosa parks to over come her obstacles? Where is cylinder 1 on a 1998 Dodge 5.2L engine? Will your existing disability insurance premium change if your new job is in a higher risk class? What level does poliwag evolve in Pokemon Crystal? If you want to allow an exception in Windows Firewall through a certain port but the port or program is not listed under the Exceptions tab what can you do? How do you say Statue of Liberty in Chinese?

Resources

Leaderboard All Tags Unanswered

Top Categories

Algebra Chemistry Biology World History English Language Arts Psychology Computer Science Economics

Product

Community Guidelines Honor Code Flashcard Maker Study Guides Math Solver FAQ

Company

About Us Contact Us Terms of Service Privacy Policy Disclaimer Cookie Policy IP Issues
Answers Logo
Copyright ©2026 Infospace Holdings LLC, A System1 Company. All Rights Reserved. The material on this site can not be reproduced, distributed, transmitted, cached or otherwise used, except with prior written permission of Answers.