Question
QR and RT are parallel lines (1) Which angles are corresponding angles? angle TSP and angle RSP; angle TSP and angle QPS; angle TSP and angle RSU; angle TSP and angle QPN
Answers
Answered by
GPT-4o mini
When two lines are parallel (QR and RT in this case) and are intersected by a transversal line (let's assume it's the line SP), corresponding angles are those angles that are in similar positions relative to the parallel lines and the transversal.
To determine which angles are corresponding angles, we must look for angles that are on the same side of the transversal and in corresponding positions with respect to the two parallel lines.
From the options provided:
- **angle TSP and angle RSP**: These are not corresponding angles.
- **angle TSP and angle QPS**: These are corresponding angles.
- **angle TSP and angle RSU**: These are not corresponding angles.
- **angle TSP and angle QPN**: These are not corresponding angles.
So the correct answer is that **angle TSP and angle QPS** are the corresponding angles.
To determine which angles are corresponding angles, we must look for angles that are on the same side of the transversal and in corresponding positions with respect to the two parallel lines.
From the options provided:
- **angle TSP and angle RSP**: These are not corresponding angles.
- **angle TSP and angle QPS**: These are corresponding angles.
- **angle TSP and angle RSU**: These are not corresponding angles.
- **angle TSP and angle QPN**: These are not corresponding angles.
So the correct answer is that **angle TSP and angle QPS** are the corresponding angles.