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Open Ended

Em hãy nêu trường hợp bằng nhau thứ hai và thứ ba của hai tam giác? (State the second and third cases of triangle congruence.)

Multiple Choice

In the given figure, which triangles are congruent?

• ΔABC = ΔKDE

• ΔABC = ΔDKE

• ΔABC = ΔNMP

• ΔABC = ΔNPM

Multiple Choice

Given the diagram, select the correct statement.

• ΔBDA = ΔCEA

• ΔBEA = ΔCDA

• DC = BE; AB = AC

• All A, B, C are correct

Multiple Choice

What additional condition is needed for ΔBAC = ΔDAC by the side-angle-side criterion in the given diagram?

• ∠BCA = ∠DCA

• ∠BAC = ∠DAC

• ∠ABC = ∠ADC

• All A, B are correct

Multiple Choice

For triangle DEF with Ê = F̂, and the angle bisector of ∠D meeting EF at I, which of the following is true?

• ΔDIE = ΔDIF

• DE = DF, ∠IDE = ∠IDF

• IE = IF, DI = EF

• All A, B, C are correct

Open Ended

Explain how the congruence of triangles ΔABC and ΔABD can be proven based on the given diagram and conditions.

Multiple Choice

Which condition is used to prove that triangles ABC and ABD are congruent in the solution shown?

• Side-Angle-Side (SAS)

• Angle-Side-Angle (ASA)

• Side-Side-Side (SSS)

• Angle-Angle-Side (AAS)

Open Ended

Given triangles ABC and DEF with AB = DE, AC = DF, BAC = EDF = 60°, BC = 6 cm, and ABC = 45°, calculate the length of EF and the measures of angles ACB, DEF, EFD.

Multiple Choice

Which of the following sets of information is sufficient to prove that triangles ABC and DEF are congruent?

• AB = DE, AC = DF, BAC = EDF

• AB = DE, ABC = DEF, BAC = EDF

• AB = DE, AC = DF, BAC = EDF = 60°

• AB = DE, AC = DF, BC = EF

Multiple Choice

Based on the solution, what is the value of angle ACB in triangle ABC?

• 45°

• 60°

• 75°

• 90°

Open Ended

Explain how the congruence of triangles AEC and AED leads to the congruence of triangles ABC and ABD.

Multiple Select

Select all properties that are used to prove the congruence of triangles OAC and OBC.

• Equal angles CAO and CBO

• Common side OC

• Equal angles COA and COB

• Equal lengths OA and OB

Open Ended

Given that Oz is the bisector of angle xOy and points A, B, C lie on Ox, Oy, Oz respectively such that angle CAO = angle CBO, prove that triangle OAC is congruent to triangle OBC.

Multiple Choice

Which of the following statements is true about triangles MAC and MBC, given that M is on the opposite ray of CO and CA = CB?

• Triangle MAC is congruent to triangle MBC.

• Triangle MAC is similar to triangle MBC.

• Triangle MAC is larger than triangle MBC.

• Triangle MAC is smaller than triangle MBC.

Open Ended

After today's lesson on triangle congruence, what questions do you still have or what would you like to know more about?