M5/6: Triangle Congruence, CPCTC, What's Missing Checkpoint Flashcard

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a theorem stating that if three sides of one triangle are equal to three sides of another triangle, then the triangles are congruent.

Front

What is the SAS congruence theorem?

Back

SAS stands for Side-Angle-Side, which states that if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, then the triangles are congruent.

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a theorem stating that if two angles and a non-included side of one triangle are equal to two angles and the corresponding non-included side of another triangle, then the triangles are congruent.

Front

What is the HL theorem?

Back

HL stands for Hypotenuse-Leg, which applies to right triangles. It states that if the hypotenuse and one leg of a right triangle are equal to the hypotenuse and one leg of another right triangle, then the triangles are congruent.

Front

What is the significance of CPCTC in triangle congruence?

Back

CPCTC stands for Corresponding Parts of Congruent Triangles are Congruent, which means that if two triangles are proven to be congruent, then all their corresponding sides and angles are also congruent.

Front

What is the ASA congruence theorem?

Back

ASA stands for Angle-Side-Angle, which states that if two angles and the included side of one triangle are equal to two angles and the included side of another triangle, then the triangles are congruent.

Front

What is the difference between SSA and other congruence theorems?

Back

SSA (Side-Side-Angle) does not guarantee triangle congruence because it can lead to ambiguous cases where two different triangles can be formed.

Front

How can you determine if two triangles are congruent using the SSS theorem?

Back

To determine congruence using SSS, measure all three sides of both triangles. If all three sides of one triangle are equal to the corresponding sides of the other triangle, they are congruent.

Front

What is the role of angles in triangle congruence?

Back

Angles help establish congruence through theorems like ASA and AAS, where knowing two angles can help determine the third angle, leading to congruence.

Front

What is an example of using the SAS theorem?

Back

If triangle ABC has sides AB = 5 cm, AC = 7 cm, and angle A = 60°, and triangle DEF has sides DE = 5 cm, DF = 7 cm, and angle D = 60°, then triangle ABC ≅ triangle DEF by SAS.