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Congruency of Triangles

PST ≅ RQT and...

Question

$△$ PST $≅$ $△$ RQT and PS is parallel to RQ. Find the side of $△$ RQT that corresponds to side ST of $△$ PST.

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Solution

The correct option is B QT
Since, $△$ PST $≅$ $△$ RQT,
corresponding parts are equal.

Therefore :
side PS = side RQ
side ST = side QT
side TP = side TR

So, side ST of $△$ PST corresponds to
side QT of $△$ RQT

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Similar questions

$△$ STR is an isosceles triangle where ST=TR
Also PT = TR,
and $∠$ TSP = $∠$ TRQ
Find the angle of $△$ PST that corresponds to $∠$ RQT of $△$ RQT.

S T ∥ R Q, P S = 3

S R = 4

△ P S T

△ P R Q

∠ S P Q = 45^{o}, ∠ P O T = 150^{o}, P S | | T U, O

∠ R Q T,

P S = 4 c m, S R = 2 c m, P T = 3 c m

Q T = 5 c m

△ P Q R \sim △ P S T

S T

Q R = 5 \cdot 8 c m

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