Question

B. State the postulate (SAS, ASA, SSS), if any, that can be used to prove that the indicated triangles are congruent. 1. \(\triangle HMO \cong \triangle HME\) 3. \(\triangle DOG \cong \triangle DIP\) SAS 2. \(\triangle AOT \cong \triangle AMR\) 4. \(\triangle MPQ \cong \triangle ONQ\) C. Consider \(\triangle ABC\) and \(\triangle XYZ\). State whether each set of given condi- tions guarantee that \(\triangle ABC \cong \triangle XYZ\). If so, state the postulate used. 1. \(AB \cong XY\), \(BC \cong YZ\), and \(AC \cong XZ\) 2. \(AB \cong XY\), \(BC \cong YZ\), and \(\angle C \cong \angle Z\) 3. \(\angle A \cong \angle X\), \(\angle B \cong \angle Y\), and \(\angle C \cong \angle Z\) 4. \(BC \cong YZ\), \(AC \cong XZ\), and \(\angle C \cong \angle Z\)

          B. State the postulate (SAS, ASA, SSS), if any, that can be used to prove
that the indicated triangles are congruent.
1. \(\triangle HMO \cong \triangle HME\)
3. \(\triangle DOG \cong \triangle DIP\)
SAS

2. \(\triangle AOT \cong \triangle AMR\)
4. \(\triangle MPQ \cong \triangle ONQ\)

C. Consider \(\triangle ABC\) and \(\triangle XYZ\). State whether each set of given condi-
tions guarantee that \(\triangle ABC \cong \triangle XYZ\). If so, state the postulate used.
1. \(AB \cong XY\), \(BC \cong YZ\), and \(AC \cong XZ\)
2. \(AB \cong XY\), \(BC \cong YZ\), and \(\angle C \cong \angle Z\)
3. \(\angle A \cong \angle X\), \(\angle B \cong \angle Y\), and \(\angle C \cong \angle Z\)
4. \(BC \cong YZ\), \(AC \cong XZ\), and \(\angle C \cong \angle Z\)

B. State the postulate (SAS, ASA, SSS), if any, that can be used to prove
that the indicated triangles are congruent.
1. HMO ≅ HME
3. DOG ≅ DIP
SAS

2. AOT ≅ AMR
4. MPQ ≅ ONQ

C. Consider ABC and XYZ. State whether each set of given condi-
tions guarantee that ABC ≅ XYZ. If so, state the postulate used.
1. AB ≅ XY, BC ≅ YZ, and AC ≅ XZ
2. AB ≅ XY, BC ≅ YZ, and ∠ C ≅∠ Z
3. ∠ A ≅∠ X, ∠ B ≅∠ Y, and ∠ C ≅∠ Z
4. BC ≅ YZ, AC ≅ XZ, and ∠ C ≅∠ Z

Added by Dorothy S.

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