The postulates of congruence for right triangles are
• Hypotenuse-Leg Theorem.
,
• Leg-Leg Theorem.
,
• Leg-Acute Angle Theorem.
,
• Hypotenuse-Acute Angle Theorem.
In this case, we know that sides CE and OQ are congruent. (hypotenuses are congruent)
Angle C is congruent to angle O.
Angle E is congruent to angle Q.
To demonstrate the congruence between triangles we can use Hypotenuse-Acute Angle Theorem since they are congruent between triangles.
We can also use Hypotenuse-Leg Theorem because we have corresponding legs and hypotenuses congruent.
The hypotenuse-acute angle theorem states that two right triangles are congruent if they have congruent hypotenuse and one corresponding pair of acute angles congruent.
The hypotenuse-leg theorem states that two right triangles are congruent if they have congruent hypotenuse and one corresponding pair of congruent legs.
Therefore, the right choices are B and E.
