Question

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Look at the figure.

Triangle PTS has measure of angle PTS equal to 90 degrees. Ris a point on the hypotenuse SP such that the segment RT is perpendicular to PS. Q is a point outside the triangle on the left of R so that triangle PQR has the measure of angle PQR equal to 90 degrees

Which pair of triangles is similar?
Answer

Triangles PTR and PQR

Triangles RTS and PQR

Triangles PQR and PTS

Triangles SRT and TRP

Answer 1

SRT AND TRP the last one is true.

Answer 2

\[\Delta RTS \approx \Delta RPT\]\[\Delta RTS \approx \Delta TPS\]\[\Delta PTR \approx \Delta PST\]\[\Delta PQR \approx \Delta TRP\]\[\Delta PQR \approx \Delta STP\]\[\Delta PQR \approx \Delta SRT\]

from the lists of similar triangles, the choice would be ΔRTS≈ΔRPT which would be Triangles SRT and TRP.

Answer 3

While working on similar triangles, Be Careful !!!
ALWAYS follow the correct sequence i.e. equal angles of similar triangles to be placed suitably.

Answer 4

thank you!