Question

triangles that are identical in size and shape are called
the principle that states that corresponding parts of congruent triangles are congruent is known as
the postulate that uses three sides to prove triangle congruence is called
the postulate that uses two sides and the included angle to prove triangle congruence is called
the criterion that uses two angles to prove triangle similarity is called
triangles that have the same shape but different sizes are called
the postulate that uses two angles and the included side to prove triangle congruence is called

Explanation:

1. Triangles identical in size and shape are congruent by definition.
2. The principle of corresponding - parts of congruent triangles being congruent is CPCTC.
3. SSS (Side - Side - Side) postulate uses three sides for triangle congruence.
4. SAS (Side - Angle - Side) postulate uses two sides and the included angle for triangle congruence.
5. AA (Angle - Angle) criterion uses two angles for triangle similarity.
6. Triangles with the same shape but different sizes are similar.
7. ASA (Angle - Side - Angle) postulate uses two angles and the included side for triangle congruence.

Answer:

1. Congruent triangles
2. CPCTC (Corresponding Parts of Congruent Triangles are Congruent)
3. SSS (Side - Side - Side) postulate
4. SAS (Side - Angle - Side) postulate
5. AA (Angle - Angle) criterion
6. Similar triangles
7. ASA (Angle - Side - Angle) postulate