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Margaret Ruecker

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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 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 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
Two triangles that have the same side lengths will always be congruent
Definition1/28

True

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 two angles of a triangle are congruent then the sides opposite those angles may not be congruent
Definition1/28

False. They must be congruent.

Term1/28
Angle-angle-angle guarantees congruence between two triangles
Definition1/28

No it doesn't. It guarantees similarity, but not congruence.

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
The triangles below are garanteed to be congruent
Definition1/28

False

Term1/28
Can two scalene triangles not be congruent but have 5 congruent parts
Definition1/28

No. Any three consecutive congruent parts (angle-side-angle or side-angle-side)

make any two triangles completely congruent.

Term1/28
What does AAA in geometry mean
Definition1/28

It means Angle, Angle, Angle.

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
What must be shown to be congruent in order to say that the triangles are congruent by SAS
Definition1/28

Two sides and the included angle of one triangle must be congruent to two sides and the included angle of the other.

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 be congruent to show that triangle ABC equals triangle XYZ by aas
Definition1/28

Nicki Minaj

Term1/28
What else would need to be congruent to show that efg pqr by asa
Definition1/28

bc yz

Term1/28
What else would need to be congruent to show abc is congruent to def by AAS
Definition1/28

"What else" implies there is already something that is congruent. But since you have not bothered to share that crucial bit of information, I cannot provide a more useful answer.

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

Nope Congruent - SSS Apex. You're welcome.

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
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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 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 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.

Two triangles that have the same side lengths will always be congruent

True

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 two angles of a triangle are congruent then the sides opposite those angles may not be congruent

False. They must be congruent.

Angle-angle-angle guarantees congruence between two triangles

No it doesn't. It guarantees similarity, but not congruence.

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

The triangles below are garanteed to be congruent

False

Can two scalene triangles not be congruent but have 5 congruent parts

No. Any three consecutive congruent parts (angle-side-angle or side-angle-side)

make any two triangles completely congruent.

What does AAA in geometry mean

It means Angle, Angle, Angle.

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 shown to be congruent in order to say that the triangles are congruent by SAS

Two sides and the included angle of one triangle must be congruent to two sides and the included angle of the other.

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 else would need to be congruent to show that efg pqr by asa

bc yz

What else would need to be congruent to show abc is congruent to def by AAS

"What else" implies there is already something that is congruent. But since you have not bothered to share that crucial bit of information, I cannot provide a more useful answer.

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
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