Question

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Answer 1

Answer:

The congruence criterion to show that ∆ ABC ≅ ∆ DEF is Side Side Side (SSS) rule.

(ii) The congruence criterion to show that ∆ PQR ≅ ∆ XYZ is Side Angle Side (SAS) rule.

(iii) The congruence criterion to show that ∆ LMN ≅ ∆ GFH is Angle Side Angle (ASA) rule.

(iv) The congruence criterion to show that ∆ ABE ≅ ∆ CDB is the Right angle Hypotenuse Side (RHS) rule

Answer 2

Answer:

AB∥CD ( given )

In △AOB and △DOC,

∠AOB=∠DOC (Vertically opposite angles)

∠OAB=∠ODC (Alternate angles)

∠ABO=∠DCO (Alternate angles)

From AAA (angle-angle-angle) similarity theorem,

△AOB∼△DOC