Geometry 5-4 5-5 5-6 Quiz

If two sides of a triangle are not congruent, then the larger _____ is opposite the longer side.

Angle

The sum of any two side lengths of a triangle is _______ than the third side length.

Greater

If two angles of a triangle are not congruent, then the longer side is ________ the larger angle.

Opposite

The mid segment is _______ to the third side and is _____ its length

parallel and half

Triangle Inequality Property

the sum of any two side lengths of a triangle is greater than the third side.

Hinge Theorem

If two sides of one triangle are congruent to two sides of another triangle and the included angles are not congruent, then the longer third side is across from the larger included angle.

Converse to the Hinge Theorem

If two sides of one triangle are congruent to two sides of another triangle and the third side is not congruent, then the larger included angle is across from the longer third side.

The 3 mid segments form a ________

Midsegment Triangle

Midsegment

a segment that joins the midpoints of two of the sides of a triangle.