Exploring Congruent Triangles and Their Proofs

The video tutorial reviews triangle congruence, starting with congruence statements and matching parts of triangles. It explains various congruence postulates, such as side-angle-side and angle-side-angle, using examples. The tutorial also covers marking congruent parts and identifying them in diagrams. Finally, it discusses proofs and the concept of CPCTC (Corresponding Parts of Congruent Triangles are Congruent), providing a comprehensive understanding of triangle congruence.

If triangle CAT is congruent to triangle DOG, which angle in DOG corresponds to angle T in CAT?

• Angle D

• Angle O

• Angle G

• Angle C

In the congruent triangles, if segment BA has two tick marks, which segment in the other triangle also has two tick marks?

• Segment DF

• Segment CA

• Segment FE

• Segment ED

Which postulate is used if two triangles have two angles and a non-included side congruent?

• Side-Side-Side (SSS)

• Side-Angle-Side (SAS)

• Angle-Side-Angle (ASA)

• Angle-Angle-Side (AAS)

What additional information is needed to prove two triangles are congruent by Angle-Angle-Side (AAS) if you already have one angle and one side?

• Another side

• A vertical angle

• A reflexive side

• Another angle

Which of the following is true about vertical angles?

• They are always adjacent.

• They are always complementary.

• They are always supplementary.

• They are always congruent.

In a proof, what is the first statement you should always include?

• The reflexive property

• The given information

• The congruence postulate

• The CPCTC statement

If O is the midpoint of segment BC, which segments are congruent?

• AO and OC

• AO and BO

• BO and OC

• BC and OC

What does CPCTC stand for?

• Corresponding Parts of Congruent Triangles are Congruent

• Corresponding Parts of Congruent Triangles are Adjacent

• Corresponding Parts of Congruent Triangles are Supplementary

• Corresponding Parts of Congruent Triangles are Complementary

Which postulate is used if two triangles have three pairs of corresponding sides congruent?

• Angle-Angle-Side (AAS)

• Angle-Side-Angle (ASA)

• Side-Angle-Side (SAS)

• Side-Side-Side (SSS)

If two triangles are congruent by the Side-Angle-Side (SAS) postulate, what must be true about the angle?

• It is the angle opposite the longest side.

• It is the angle between the two sides.

• It is the smallest angle in the triangle.

• It is the largest angle in the triangle.