Consider triangles EJH and EIH . overline (HJ)bot overline (JE),overline (HI)bot overline (IE) overline (JE)cong overline (IE) Which criteria for triangle congruence could be used to show that Delta EJHcong Delta EIH Side-Side-Side Side-Side-Angle Hypotenuse-Leg There is not enough information to show the triangles are congruent.

To determine which criteria for triangle congruence could be used to show that , we need to analyze the given information and apply it to the properties of the triangles.Given:1. - This means that is perpendicular to , so is a right angle.2. - This means that is perpendicular to , so is a right angle.3. - This means that the lengths of and are equal.Step 1: Identify the right angles in the triangles.Both and have a right angle, which means they are both right triangles.Step 2: Identify congruent sides.We are given that , which means that the side opposite the right angle in both triangles is congruent.Step 3: Identify the hypotenuse and legs of the right triangles.In a right triangle, the hypotenuse is the side opposite the right angle, and the legs are the two sides that form the right angle. In this case, and are the hypotenuses of and respectively, and and are the legs.Step 4: Apply the right triangle congruence criteria.For right triangles, the Hypotenuse-Leg (HL) congruence theorem states that if the hypotenuse and one leg of one right triangle are congruent to the hypotenuse and one leg of another right triangle, then the triangles are congruent.In our case, we have:- The hypotenuses and are congruent.- The legs and are both perpendicular to their respective hypotenuses, forming right angles, which means they are congruent by definition of perpendicular lines intersecting at a point (they are both radii of the same circle or segments from the same point E to point H).Therefore, we have two congruent sides (hypotenuse and one leg) and a right angle, which is enough to conclude that the triangles are congruent by the Hypotenuse-Leg (HL) theorem.Answer:The criteria for triangle congruence that could be used to show that is Hypotenuse-Leg (HL).