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:

Step1: Recall congruent triangle definition

Triangles identical in size and shape are congruent triangles.

Step2: Recall CPCTC principle

The principle that corresponding parts of congruent triangles are congruent is CPCTC (Corresponding Parts of Congruent Triangles are Congruent).

Step3: Recall SSS postulate

The postulate using three - sides to prove triangle congruence is the Side - Side - Side (SSS) postulate.

Step4: Recall SAS postulate

The postulate using two sides and the included angle to prove triangle congruence is the Side - Angle - Side (SAS) postulate.

Step5: Recall AA similarity criterion

The criterion using two angles to prove triangle similarity is the Angle - Angle (AA) similarity criterion.

Step6: Recall similar triangle definition

Triangles with the same shape but different sizes are similar triangles.

Step7: Recall ASA postulate

The postulate using two angles and the included side to prove triangle congruence is the Angle - Side - Angle (ASA) postulate.

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) similarity criterion
6. Similar triangles
7. ASA (Angle - Side - Angle) postulate