Question
Line CT and line SM intersect at point A. What is the relationship between angle CAM and angle SAT? O Angle CAM and angle TAS are supplementary angles that sum to 180°. O Angle CAM and angle TAS are vertical angles that are congruent. O Angle CAM and angle TAS are supplementary angles that are congruent. O Angle CAM and angle TAS are vertical angles that sum to 180°.
Answer
Angle CAM and angle SAT are vertical angles that are congruent.
- Q: What is the relationship between CAM and CAT? A: Angle CAM and angle CAT are vertical angles that are congruent.
- Q: According to the vertical angles theorem, what is the relationship between CAT and SAT? A: Angle CAT and angle SAT are vertical angles that are congruent.
- Q: What is the transitive property of congruence? A: If two angles are congruent, and another angle is congruent to one of those angles, then the third angle is congruent to the other angle.
- Q: How can we use the transitive property to find the relationship between CAM and SAT? A: We know that angle CAM is congruent to angle CAT and angle CAT is congruent to angle SAT. Therefore, by the transitive property of congruence, angle CAM is congruent to angle SAT.
- Q: What is the relationship between angle CAM and angle SAT? A: Angle CAM and angle SAT are vertical angles that are congruent.