### Home > CCG > Chapter 5 > Lesson 5.3.1 > Problem5-80

5-80.

Plot $ΔABC$ on graph paper with points $A(3,3)$, $B(1,1)$, and $C(6,1)$. 5-80 HW eTool (Desmos). Homework Help ✎

1. Transform $ΔABC$ by multiplying the y-coordinates of the vertices by  $-1$. Then use the function $(x,y)→(x-6,y-3)$ to translate the resulting triangle. Name the coordinates of the vertices of the result.

Multiply all $y\text{-coordinates}$ by $-1$. What transformation happens to the triangle?

In the translation rule the $x-6$ means to move to the left $6$, and the $y-3$ means to move down $3$. List the final coordinates for the new triangle.

2. Rotate $ΔABC$ $90^{\circ}$ counterclockwise $(\circlearrowleft)$ about the origin. Then reflect the result across the y-axis. Name the coordinates of the vertices of the result.

What are the coordinates of the final figure?

$A''(3,3)$, $B''(1,1)$, $C''(1,6)$

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