AGAIN!! WHICH IS WHICH?

Directions: Given the following theorems on triangle inequalities in one triangle and triangle

inequalities in two triangles,

a. Triangle Inequality theorem 1 (SS→AA)

b. Triangle Inequality theorem 2 (AA→SS)

c. Triangle Inequality theorem 3 (S1+S2 > S3)

d. Exterior-Angle Inequality Theorem (Exterior ∠ > Remote Interior ∠)

e. Hinge Theorem or SAS inequality Theorem

f. Converse of Hinge Theorem or SSS inequality Theorem

Identify what corresponding illustration for each of the triangle inequalities.

_____1. The sum of the lengths of any two sides of a triangle is greater than the length of the third

side.

_____2. If one angle of a triangle is larger than a second angle, then the side opposite the first angle

is longer than the side opposite the second angle.

_____3. If two sides of one triangle are congruent to two sides of another triangle, but the included

angle of the first triangle is greater than the included angle of the second, then the third

side of the first triangle is longer than the third side of the second.

_____4. If one side of a triangle is longer than a second side, then the angle opposite the first side is

larger than the angle opposite the second side.

_____5. The measure of an exterior angle of a triangle is greater than the measure of either remote

interior angle.

_____6. If two sides of one triangle are congruent to two sides of another triangle, but the third side​