IM2 Chapter 6 Review

In the diagram above, Bonnie claims that ΔMLV ≅ ΔRLT. Using the diagram, determine which statements MUST BE TRUE for Bonnie's claim to be valid.

• ∠M ≅ ∠R

• ΔMLV can be rotated about point L to map it to ΔRLT.

• VL ≅ LT

• A series of rigid transformations of ΔMLV maps it to ΔRLT.

Sydney draws two congruent triangles. Using the definition of triangle congruence, determine whether the statements below are true or false. Select the True statement(s).

• The corresponding sides of the two triangles must be congruent.

• The corresponding angles of the two triangles must be congruent.

• There must be a sequence of translations that carries one triangle onto the other.

• There must be a sequence of rigid motions that carries one triangle onto the other.

Determine whether each statement below is true or false. Select the True statement(s).

• Claim 1 is correct.

• Claim 2 is correct.

• Claim 1 would be correct if reflection was changed to translation.

• Claim 2 would be correct if translation was changed to rotation.

Which of the following is NOT a valid Triangle Congruence Theorem?

• SSA

• ASA

• SSS

• SAS

Which postulate or theorem can be used to prove that ΔABC ≅ ΔDCB?

• SAS

• ASA

• SSS

• AAS

Which theorem or postulate can be used to prove ΔABC ≅ ΔDCA?

• AA

• ASA

• SAS

• There is not enough information to prove these triangles congruent.

Which theorem or postulate can be used to prove ΔABD ≅ ΔCDB?

• AAS

• AA

• SAS

• There is not enough information to prove these triangles congruent.

Which additional information would be enough to prove that ΔXWY ≅ ΔDEC?

• ∠Y ≅ ∠D

• ∠Y ≅ ∠E

• ∠W ≅ ∠C

• ∠W ≅ ∠E

Determine which of the following angle measures are correct. Select two that apply.

• m∠JKL = 37°

• m∠KJL = 73°

• m∠JLK = 86°

• m∠KLM = 126°

Determine which of the following angle measures are correct. Select two that apply.

• m∠ABC = 68°

• m∠BAC = 72°

• m∠BCD = 108°

• m∠ACB = 112°