To prove: triangle PSQ sim triangle PQR, triangle PQR sim triangle QSR and triangle PSQ sim triangle QSR

Jason Farmer

Jason Farmer

Answered question

2021-05-06

To prove: PSQPQR,PQRQSR and PSQQSR

Answer & Explanation

aprovard

aprovard

Skilled2021-05-08Added 94 answers

Calculation:
It is given that triangle PQR is a right triangle.
Definition of altitude shows that QSRP
Therefore, triangles PSQ and QSR are right angles.
As the right angles are congruent, therefore,
PQR=PSQ=QSR
According to Reflexive property of Congruence,
P=P and R=R
AA Similarity postulate shows that,
PSQPQR and PQRQSR
Therefore, According to Transitive property of Congruence,
PSQQSR

 

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?