Question

is there enough information to determine the triangle pair is congruent? if so, state the reason.

yes, sas
yes, asa
yes, sss
not enough information

Explanation:

Identify given geometric markings

The figure shows two right triangles sharing a common hypotenuse.
The right-angle symbols indicate that both triangles are right triangles.
No other side lengths or acute angle measures are marked as congruent.

Analyze shared side

The shared diagonal segment is the hypotenuse for both right triangles.
By the Reflexive Property of Congruence, this hypotenuse is congruent to itself.

Evaluate congruence criteria

We have:

• One pair of congruent angles (the right angles).
• One pair of congruent sides (the shared hypotenuse).

To prove triangle congruence (such as HL, SAS, ASA, or AAS), we need at least three corresponding parts, including at least one side.
With only one angle and one side, there is not enough information.

Answer:

• Yes, SAS
• Yes, ASA
• Yes, SSS
• Not enough information (Correct answer)