Exploring Congruent Triangle Proofs

The video tutorial covers the steps to prove triangle congruence using various methods such as side-side-side, side-angle-side, and angle-side-angle. It includes three example problems demonstrating the use of given information, marking congruent parts, and selecting appropriate theorems. The tutorial emphasizes the importance of marking diagrams and writing statements with reasons in a two-column proof format.

What is the first step in proving triangles are congruent?

• Fill in the reasons

• Choose a method

• List the congruent parts

• Mark the given

Tags

CCSS.8.G.A.2

Which of the following is NOT a method to prove triangle congruence?

• Angle-Angle-Angle (AAA)

• Side-Angle-Side (SAS)

• Side-Side-Side (SSS)

• Hypotenuse-Leg (HL)

Tags

CCSS.HSG.SRT.B.5

In the first proof, what property is used to state that AC is congruent to itself?

• Substitution Property

• Reflexive Property

• Symmetric Property

• Transitive Property

Tags

CCSS.HSG.SRT.B.5

What is the final reason given in the first proof to show that the triangles are congruent?

• Angle-Side-Angle (ASA)

• Side-Angle-Side (SAS)

• Side-Side-Side (SSS)

• Angle-Angle-Side (AAS)

Tags

CCSS.HSG.SRT.B.5

In the second proof, which angles are marked as congruent?

• Angle ABE and Angle CBD

• Angle ABC and Angle CDA

• Angle B and Angle D

• Angle A and Angle C

Tags

CCSS.HSG.SRT.B.5

What method is used to prove the triangles are congruent in the second proof?

• Side-Side-Side (SSS)

• Angle-Side-Angle (ASA)

• Side-Angle-Side (SAS)

• Angle-Angle-Side (AAS)

Tags

CCSS.HSG.SRT.B.5

In the third proof, what does it mean when WY bisects an angle?

• WY is equal to the angle

• WY is perpendicular to the angle

• WY divides the angle into two congruent parts

• WY is parallel to the angle

Tags

CCSS.HSG.CO.C.9

Which angles are marked as congruent in the third proof?

• Angle X and Angle Y

• Angle XWY and Angle ZWI

• Angle X and Angle Z

• Angle W and Angle Y

Tags

CCSS.HSG.SRT.B.5

What is the final method used to prove the triangles are congruent in the third proof?

• Side-Side-Side (SSS)

• Side-Angle-Side (SAS)

• Angle-Side-Angle (ASA)

• Angle-Angle-Side (AAS)

Tags

CCSS.HSG.SRT.B.5

What is the assignment given at the end of the tutorial?

• Create a video tutorial

• Complete a drag and drop activity on Google Slides

• Solve additional proofs

• Write an essay on triangle congruence