- Line PR and line ST are congruent because they have the congruent sign
- Lines PQ and UT are parallel because they have the parallel sign.
- Angles STU and RPQ are alternate interior because they are on opposite sides of the transversal inside the parallel lines.
Are triangles PQR and STU similar? Explain why or why not.
There is not enough information to determine if the two triangles are similar.
- Line PQ and line SR are parallel because they have the parallel symbols.
- Lines SQ, RQ, and PQ are all congruent because they have the congruent symbol.
- Triangles PQS and SQR isosceles triangles because they have two equal sides which means they have two equal angles.
- Angle PQS is 70 degrees. The angle is alternate interior to angle RSQ.
Are triangles PQS and SQR similar? Explain why or why not.
Triangles PQS and SQR are similar because they are both isosceles triangles that share the same line QS. You can use side-angle-side. The two triangles have two proportional sides and a congruent angle.