If ΔABC and ΔPQR are to be congruent, name one additional pair of corresponding parts. What criterion did you use?
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Answered by
46
Hi,
******************************************
ASA congruence rule :
Two triangles are congruent if two angles
and the included side of one triangle
are equal to two angles and the included
side of the other triangle .
**********************************************
Here ,
In ∆ABC and ∆PQR
<ABC = <PQR = 90° ( angle )---( 1 )
BC = QR ( included side ) ---( 2 )
<BCA = <QRP ( angle ) ---( 3 )
∆ABC congruent to ∆PQR
[ ASA congruence rule ]
( 2 ) is not given in the question .
AC = PR
AB = PQ
[ Corresponding parts of congruent triangles ]
I hope this helps you.
: )
******************************************
ASA congruence rule :
Two triangles are congruent if two angles
and the included side of one triangle
are equal to two angles and the included
side of the other triangle .
**********************************************
Here ,
In ∆ABC and ∆PQR
<ABC = <PQR = 90° ( angle )---( 1 )
BC = QR ( included side ) ---( 2 )
<BCA = <QRP ( angle ) ---( 3 )
∆ABC congruent to ∆PQR
[ ASA congruence rule ]
( 2 ) is not given in the question .
AC = PR
AB = PQ
[ Corresponding parts of congruent triangles ]
I hope this helps you.
: )
Answered by
8
Answer:
BC = PQ
Step-by-step explanation: this is visible in the diagram
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