If ΔPQR and ΔABC are similar and none of them is equilateral, then all the six correspondences between ΔPQR and ΔABC are similarities.State whether the given statement are true or false. Give reasons for your answer.
Answers
Answered by
3
The given statement is false.
Explantion :- For equilateral triangles, all the six correspondences are similarities. But in triangles other than equilateral, the measures of all the angles are not same.
hence, it is false that If ΔPQR and ΔABC are similar and none of them is equilateral, then all the six correspondences between ΔPQR and ΔABC are similarities.
Explantion :- For equilateral triangles, all the six correspondences are similarities. But in triangles other than equilateral, the measures of all the angles are not same.
hence, it is false that If ΔPQR and ΔABC are similar and none of them is equilateral, then all the six correspondences between ΔPQR and ΔABC are similarities.
Answered by
4
Hi ,
It is given that ,
∆PQR ~ ∆ABC
Therefore ,
<P = <A , <Q = <B , <R = <C
and
PQ/AB = QR/BC = RP/CA
( Ratio of corresponding sides are
proportional . )
Above statement is True .
I hope this helps you.
: )
It is given that ,
∆PQR ~ ∆ABC
Therefore ,
<P = <A , <Q = <B , <R = <C
and
PQ/AB = QR/BC = RP/CA
( Ratio of corresponding sides are
proportional . )
Above statement is True .
I hope this helps you.
: )
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