Answer:
Option C, Option D and Option F are correct.
Step-by-step explanation:
In the given triangles CDE and OPQ, CD = OP, DE = PQ, ∠DCE = ∠POQ = 90° and ∠CED = ∠PQO
We have to tell the congruence theorems or postulates applied in the triangle for congruence.
Since ∠C = ∠O = 90°, ∠E = ∠Q , and DE = PQ
Therefore Option C. AASis correct.
Since DC = OP (Leg of the triangle), DE = PQ (Hypotenuse)
Therefore by theorem of HL in a right angle triangle is applied.
Option F. HL is correct.
Now DE = PO and ∠E =∠Q
So theorem LA (leg and acute angle) will be applied to prove the congruence.
So Option D. LA is correct.
