Exploring Corresponding Parts of Congruent Triangles

What is the main topic discussed in the video?

• Area of triangles

• Corresponding parts of congruent triangles

• Properties of similar triangles

• Types of triangles

Tags

CCSS.8.G.A.2

Which method is used to prove triangles are congruent if three pairs of corresponding sides are known to be congruent?

• Side-Angle-Side (SAS)

• Angle-Side-Angle (ASA)

• Angle-Angle-Side (AAS)

• Side-Side-Side (SSS)

Tags

CCSS.HSG.SRT.B.5

If triangles are congruent by SSS, what can be said about their corresponding angles?

• They are not necessarily congruent

• They are congruent

• They are complementary

• They are supplementary

Tags

CCSS.HSG.CO.B.7

What does the acronym CPCTC stand for?

• Corresponding Parts of Congruent Triangles are Complementary

• Congruent Parts of Corresponding Triangles are Congruent

• Corresponding Parts of Congruent Triangles are Congruent

• Congruent Parts of Corresponding Triangles are Complementary

Tags

CCSS.HSG.SRT.B.5

Which of the following is NOT a method to prove triangles are congruent?

• Side-Angle-Side (SAS)

• Angle-Angle-Side (AAS)

• Side-Side-Angle (SSA)

• Side-Side-Side (SSS)

Tags

CCSS.HSG.SRT.B.5

What is the first step in the proof example involving vertical angles?

• Identify the given information

• Prove the triangles are congruent by SSS

• Identify the congruent angles

• Use CPCTC to prove corresponding parts are congruent

Tags

CCSS.HSG.SRT.B.5

Which theorem is used to prove that vertical angles are congruent?

• Corresponding Angle Theorem

• Alternate Interior Angle Theorem

• Supplementary Angle Theorem

• Vertical Angle Theorem

Tags

CCSS.8.G.A.5

In the proof example, which method is used to prove the triangles are congruent?

• Side-Angle-Side (SAS)

• Angle-Angle-Side (AAS)

• Side-Side-Side (SSS)

• Angle-Side-Angle (ASA)

Tags

CCSS.HSG.SRT.B.5

After proving the triangles are congruent, what is the next step to prove that angle A is congruent to angle D?

• Use the Corresponding Angle Theorem

• Use the Alternate Interior Angle Theorem

• Use CPCTC

• Use the Vertical Angle Theorem

Tags

CCSS.HSG.SRT.B.5

What is the final conclusion of the proof example?

• The angles are supplementary

• The triangles are not congruent

• Only some parts of the triangles are congruent

• All corresponding parts of the triangles are congruent

Tags

CCSS.HSG.SRT.B.5