Work through the following set of review questions to make sure that you understand the material in this lesson.
Which of the following is true about the following congruent triangles?
- \(\mathsf{ \angle }\)Z ≅ \(\mathsf{ \angle }\)T
- \(\mathsf{ \angle }\)X ≅ \(\mathsf{ \angle }\)R
- \(\mathsf{ \angle }\)Y ≅ \(\mathsf{ \angle }\)S
- \(\mathsf{ \angle }\)Y ≅ \(\mathsf{ \angle }\)R
\(\mathsf{ \angle }\)Y and \(\mathsf{ \angle }\)R are congruent by CPCTC. The other angles are not congruent.
\(\mathsf{ \angle }\)Y and \(\mathsf{ \angle }\)R are congruent by CPCTC. The other angles are not congruent.
\(\mathsf{ \angle }\)Y and \(\mathsf{ \angle }\)R are congruent by CPCTC. The other angles are not congruent.
\(\mathsf{ \angle }\)Y and \(\mathsf{ \angle }\)R are congruent by CPCTC. The other angles are not congruent.
Which of the following is true about the following congruent triangles?
- \(\small\mathsf{ \overline{RT} }\) ≅ \(\small\mathsf{ \overline{YZ} }\)
- \(\small\mathsf{ \overline{XZ} }\) ≅ \(\small\mathsf{ \overline{TS} }\)
- \(\small\mathsf{ \overline{XY} }\) ≅ \(\small\mathsf{ \overline{RS} }\)
- \(\small\mathsf{ \overline{YZ} }\) ≅ \(\small\mathsf{ \overline{ST} }\)
Since \(\small\mathsf{ \overline{XZ} }\) and \(\small\mathsf{ \overline{TS} }\) are marked with the same number of tic marks, they are congruent.
Since \(\small\mathsf{ \overline{XZ} }\) and \(\small\mathsf{ \overline{TS} }\) are marked with the same number of tic marks, they are congruent.
Since \(\small\mathsf{ \overline{XZ} }\) and \(\small\mathsf{ \overline{TS} }\) are marked with the same number of tic marks, they are congruent.
Since \(\small\mathsf{ \overline{XZ} }\) and \(\small\mathsf{ \overline{TS} }\) are marked with the same number of tic marks, they are congruent.
Which of the following is true about the following congruent triangles?
- \(\mathsf{ \angle }\)Z ≅ \(\mathsf{ \angle }\)T
- \(\mathsf{ \angle }\)X ≅ \(\mathsf{ \angle }\)R
- \(\mathsf{ \angle }\)Z ≅ \(\mathsf{ \angle }\)S
- \(\mathsf{ \angle }\)X ≅ \(\mathsf{ \angle }\)S
\(\mathsf{ \angle }\)Z and \(\mathsf{ \angle }\)S are congruent by CPCTC. The other angles are not congruent.
\(\mathsf{ \angle }\)Z and \(\mathsf{ \angle }\)S are congruent by CPCTC. The other angles are not congruent.
\(\mathsf{ \angle }\)Z and \(\mathsf{ \angle }\)S are congruent by CPCTC. The other angles are not congruent.
\(\mathsf{ \angle }\)Z and \(\mathsf{ \angle }\)S are congruent by CPCTC. The other angles are not congruent.
Determine if the two triangles are congruent by SSS, SAS, or ASA.
- SSS
- SAS
- ASA
Since all three pairs of corresponding sides of these two triangles are congruent, the two triangles are congruent by SSS.
Since all three pairs of corresponding sides of these two triangles are congruent, the two triangles are congruent by SSS.
Since all three pairs of corresponding sides of these two triangles are congruent, the two triangles are congruent by SSS.
Determine if the two triangles are congruent by SSS, SAS, or ASA.
- SSS
- SAS
- ASA
Since two pairs of corresponding sides and the pair of included angles of these two triangles are congruent, the two triangles are congruent by SAS.
Since two pairs of corresponding sides and the pair of included angles of these two triangles are congruent, the two triangles are congruent by SAS.
Since two pairs of corresponding sides and the pair of included angles of these two triangles are congruent, the two triangles are congruent by SAS.
True or false, the following triangles are congruent.
- true
- false
These two triangles are congruent by ASA.
These two triangles are congruent by ASA.
Summary
Questions answered correctly:
Questions answered incorrectly:
