Question

the criterion that proves right triangles are congruent by their hypotenuse and one leg is called ________.
the criterion that requires two sides and the included angle of a triangle to be congruent is called ________.
an angle ________ divides an angle into two equal parts.
a segment connecting two midpoints of a triangle is called a ________.

Explanation:

First Question:

In triangle congruence, for right - angled triangles, the criterion that states if the hypotenuse and one leg of one right - triangle are congruent to the hypotenuse and one leg of another right - triangle, then the two right - triangles are congruent is known as the Hypotenuse - Leg (HL) criterion.

The Side - Angle - Side (SAS) congruence criterion for triangles states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent.

An angle bisector is a ray (or a line segment in some cases) that starts from the vertex of an angle and divides the angle into two equal - measure angles.

Answer:

Hypotenuse - Leg (HL)

Second Question: