Triangle △ABC is in the first quadrant and translated along ‹ 3, 7 › and reflected across the x-axis. Which quadrant will the triangle be in after the first transformation? Which quadrant will the triangle be in after the second transformation?

Answer:The triangle will be in the first quadrant after the 1st transformationThe triangle will be in the fourth quadrant after the 2nd transformationStep-by-step explanation:* Lets revise translation and reflection- Horizontal translation means move the figure to right or to left - Vertical translation means move the figure up or down- Reflection across x-axis reverses the figure from up the x-axis to  down the x-axis or reverses it from down the x-axis to up the x-axis * Lets solve the problem- Triangle △ABC is in the first quadrant- It translated along ‹ 3, 7 ›- Then reflected across the x-axis- We need to know the image of the triangle after first transformation  lies in which quadrant and after the second transformation lies in  which quadrant∵ The triangle in first quadrant∵ The translation is <3 , 7>- That means the triangle is translated 3 units to the right and   7 units up∴ The triangle still in the first quadrant* The triangle will be in the first quadrant after the 1st transformation∵ The triangle reflected across the x-axis- That means the triangle is reversed from up the x-axis to down  the x-axis∴ The triangle is reversed to the fourth quadrant* The triangle will be in the fourth quadrant after the 2nd transformation