Tags Geometry Math and Arithmetic Algebra

Animals & Plants Arts & Entertainment Auto Beauty & Health Books and Literature Business Electronics Engineering & Technology Food & Drink History Hobbies Jobs & Education Law & Government Math People & Society Science Social Studies Sports Travel & Places

Geometry

Gail Baumbach ∙

Lvl 10

∙ 4y ago

5.0

☆★☆★☆★☆★☆★

1 Review

Add a rating

Term1/25

How do you prove rhs congruence

Definition1/25

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!!!

Term1/25

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

Definition1/25

It's actually angle B angle Y

Term1/25

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

Definition1/25

pfft no, it's AC = DF

Term1/25

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

Definition1/25

AC is congruent to DF.

Term1/25

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

Definition1/25

B=Y

C=Z

Term1/25

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

Definition1/25

Line segment BC is congruent to Line Segment YZ

Term1/25

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

Definition1/25

Angle "A" is congruent to Angle "D"

Term1/25

Is LMN OPQ If so name the congruence postulate that applies

Definition1/25

congruent - SSS

Answer by Arteom, Friday December 10, 2010

Term1/25

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

Definition1/25

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.

Term1/25

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

Definition1/25

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

Term1/25

AAA guarantees congruence between two triangles

Definition1/25

False

Term1/25

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

Definition1/25

Bc= qr

Term1/25

The triangles below will always be congruent

Definition1/25

false

Term1/25

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

Definition1/25

It is actually "CORRESPONDING"..

Term1/25

Is UVW congruent XYZ If so name the postulate that applies

Definition1/25

not congruent

Term1/25

MNO PQR If so name the congruence postulate that applies

Definition1/25

Congruent - SSS

Term1/25

When was Fort Smuter attacked

Definition1/25

k,l n;lm;m

Term1/25

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

Definition1/25

The triangles must be congruent.

Term1/25

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

Definition1/25

angle B angle Y

(Tested, correct)

Nicki is not the answer, just ignore that.

Term1/25

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

Definition1/25

Yes, it does.

Term1/25

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

Definition1/25

i honestly dont know

Term1/25

Is ABC DEF If so name the postulate that applies.

Definition1/25

Nope Congruent - SSS Apex. You're welcome.

Term1/25

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

Definition1/25

ML=YZ ,

Term1/25

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

Definition1/25

__ - __

AC = XZ

= is the similar sign

Term1/25

In JKL and PQR if J P K Q and L R then JKL must be congruent to PQR

Definition1/25

True

🥳

Great job!

You studied all the cards in this guide.

Rate this guide:

☆★☆★☆★☆★☆★

Rate this Study Guide:

☆★☆★☆★☆★☆★

Cards in this guide (25)

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

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.

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.

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

Geometry

Rate this Study Guide:

Resources

Top Categories

Product

Company