Question

based on the given information, which of the following can be used to prove these triangles are congruent?
there is not enough information to prove these triangles are congruent.
sas
ssa
hl

Explanation:

Step1: Recall congruence criteria

• SAS (Side - Angle - Side): Two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle.
• SSA (Side - Side - Angle): Not a valid congruence criterion in general (except for right - angled triangles in some cases).
• HL (Hypotenuse - Leg): For right - angled triangles, if the hypotenuse and one leg of a right - angled triangle are equal to the hypotenuse and one leg of another right - angled triangle, then the two right - angled triangles are congruent.

Step2: Analyze the given triangles

The given triangles are right - angled triangles. Let's assume the equal - marked sides are the legs and the other equal - marked sides (the sides with one cross) are the hypotenuses.

Since we have two right - angled triangles with one leg equal (the sides with two marks) and the hypotenuse equal (the sides with one mark), we can use the HL (Hypotenuse - Leg) criterion.

Answer:

HL