Question

If ∆ABC ≅ ∆PQR by ASA congruence criteria, then the missing condition is ​

Answer 1

Step-by-step explanation:

In \triangle ABC△ABC and \triangle PQR△PQR

\angle B=\angle Q=90\degree∠B=∠Q=90°

\angle C=\angle R∠C=∠R (Given)

\overline{BC}

BC

=QR=QR (Given)

Therefore, \triangle ABC\cong\triangle PQR△ABC≅△PQR {ASA congruence}

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Answer 2

GIVEN: ∆ABC ≅ ∆PQR by ASA congruence

TO FIND: missing condition

SOLUTION:

It is given that the triangles ABC AND PQR are congruent by ASA axiom which is angle side angle.

This shows that the sides are proportional to each other.

AB/PQ= BC/QR= AC/PR

The missing condition is AB/PQ= BC/QR= AC/PR that the sides are proportional.