Questions: Reflect triangle ABC over the line of reflection and label the image A'B'C'.
Then translate A'B'C' 3 units to the right and 4 units down, Label the new image A"B"C".
Transcript text: Reflect triangle $A B C$ over the line of reflection and label the image $A^{\prime} B^{\prime} C^{\prime}$.
Then translate $A^{\prime} B^{\prime} C^{\prime} 3$ units to the right and 4 units down, Label the new image A"B"C"
Solution
Solution Steps
Step 1: Reflect Triangle ABC Over the Line of Reflection
Identify the coordinates of points A, B, and C.
A(-4, -3)
B(-2, 1)
C(1, -2)
Reflect these points over the line of reflection (y = x).
A'(-3, -4)
B'(1, -2)
C'(-2, 1)
Step 2: Translate A'B'C' 3 Units to the Right
Add 3 to the x-coordinates of A', B', and C'.
A''(-3 + 3, -4) = (0, -4)
B''(1 + 3, -2) = (4, -2)
C''(-2 + 3, 1) = (1, 1)
Step 3: Translate A'B'C' 4 Units Down
Subtract 4 from the y-coordinates of A'', B'', and C''.