Triangle Congruence Postulates
The postulate that states that if two angles and the included side of one triangle are congruent to the corresponding angles and included side of another triangle, then the triangles are congruent
What is ASA or Angle Side Angle?
All three sides and all three angles of two triangles are congruent.
What are congruent triangles?
If two triangles are congruent, what can you conclude about their corresponding angles?
The corresponding angles of congruent triangles are congruent.
What does the term "congruent triangles" mean?
Congruent triangles have the same shape and size, with corresponding sides and angles that are equal.
What does the SSS Congruence state?
The Side-Side-Side (SSS) Congruence states that if the three sides of one triangle are congruent to the corresponding sides of another triangle, then the two triangles are congruent.
The triangle congruence postulate that states that if all three sides of one triangle are congruent to the corresponding sides of another triangle, then the triangles are congruent
What is SSS or Side Side Side?
The number of sides of a triangle that need to be congruent to establish triangle congruence using the SAS property
What is two sides?
What you can conclude about two triangles' corresponding sides if the triangles are congruent
What is corresponding sides are congruent?
Name the four methods of proving triangle congruence.
SSS (Side-Side-Side), SAS (Side-Angle-Side), ASA (Angle-Side-Angle), and AAS (Angle-Angle-Side) are the four methods of proving triangle congruence
True or False: If two triangles have their corresponding sides equal, they are not necessarily congruent.
False. Having equal corresponding sides is sufficient for proving triangle congruence.
This triangle congruence postulate can be used to prove the triangles congruent if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle
What is SAS or Side Angle Side?
The number of angles a triangle needs to be congruent to establish triangle congruence using the ASA postulate
What is two angles?
Four postulates or theorems for proving triangle congruence.
What are SAS (Side-Angle-Side), ASA (Angle-Side-Angle), SSS (Side-Side-Side), and AAS (Angle-Angle-Side)?
Define the term "corresponding parts" in the context of triangle congruence.
Corresponding parts refer to the matching sides and angles of congruent triangles.
If triangle ABC is congruent to triangle DEF by the SSS Congruence, what can you conclude about their corresponding angles?
The corresponding angles of congruent triangles will also be equal.
The posulate that states if two angles and a non-included side of one triangle are congruent to the corresponding angles and non-included side of another triangle, then the triangles are congruent
What is AAS or Angle Angle Side?
The Three properties of congruence for triangles.
What are Angle Congruence, Side Congruence, and CPCTC?
If two triangles are congruent, then their corresponding parts (angles and sides) are congruent.
Or basically if if triangles are the same both triangles will have same length and sides and angles.
What is the CPCTC (Corresponding Parts of Congruent Triangles are Congruent) theorem?
In triangle congruence, what are vertically opposite angles?
Vertically opposite angles are the angles formed by the intersection of two lines and are opposite each other. They have equal measures.
Can two triangles with the same side lengths but different angle measures be congruent?
No. Congruent triangles must have both corresponding sides and angles equal.
The triangle congruence theorem that states that if two angles and the included side of one triangle are congruent to the corresponding angles and included side of another triangle, then the triangles are congruent
What is ASA or Angle Side Angle?
Two triangles that have two pairs of corresponding congruent angles
What are triangles that can not be proven congruent?
Or
What is not enough information to prove congruence?
Two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent.
What is True about ASA (Angle-Side-Angle) congruence theorem?
Explain what the Hypotenuse-Leg (HL) Congruence Theorem states.
The Hypotenuse-Leg (HL) Congruence Theorem states that if the hypotenuse and one leg of a right triangle are congruent to the hypotenuse and one leg of another right triangle, then the two triangles are congruent.
Provide an example of two congruent triangles using the SSS Congruence.
Two triangles with side lengths 3 cm, 4 cm, and 5 cm would be an example of congruent triangles using the SSS Congruence.