Question

if two triangles ABC and PQR, AB/QR = BC/PR = CA/PQ,then write the similarity between the triangles

Answer 1

Here is your answer...

Answer 2

By Side-Side-Side similarity property, ΔABC and ΔQRP are similar.

Step-by-step explanation:

Given,

$\frac{AB}{QR}=\frac{BC}{PR}=\frac{CA}{PQ}$

We have to find out the similarity criteria of the two ΔABC and ΔQRP.

Proof:

Firstly we will draw the triangles ΔABC and ΔQRP.

Here we have given that;

$\frac{AB}{QR}=\frac{BC}{PR}=\frac{CA}{PQ}$

Now according to theorem of similarity, which states that;

"If in two triangles all the three sides of one triangles is proportional to corresponding three sides of other triangle, then the triangle will be similar by Side-Side-Side similarity property."

So, ΔABC and ΔQRP are similar.

By Side-Side-Side similarity property.