Answer:
The triangle will be in the first quadrant after the 1st transformation
The triangle will be in the fourth quadrant after the 2nd transformation
Step-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
