Postulates 12-14 (SSS, SAS, ASA) Theorems AAS, HL

Question 1

Postulate 12
SSS
Side, Side, Side

Answer 1

If three sides of one triangle are congruent to three sides of another triangle, then the triangles are congruent.

Question 2

Postulate 13
SAS
Side, Angle, Side

Answer 2

If two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the triangles are congruent.

Question 3

Postulate 14
ASA
Angle, Side, Angle

Answer 3

If two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent.

Question 4

Theorem 4-3
AAS
Angle, Angle, Side

Answer 4

If two angles and a non-included side of one triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent.

Question 5

Theorem 4-4
HL
Hypotenuse Leg

Answer 5

If the hypotenuse and a leg of one right triangle are congruent to the corresponding parts of another right triangle, then the triangles are congruent.