Based on the information given in the diagram which congruence theorems or postulates could be given as reasons why cde ~ opq

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.

the square root of what number? if you add that, then someone will probably answer the question.