### Home > GB8I > Chapter 7 Unit 8 > Lesson INT1: 7.1.2 > Problem7-22

7-22.

On graph paper, graph $ΔABC$ if its vertices are $A(–2, 7)$, $B(–5, 8)$, and $C(–3, 1)$.

1. Reflect $ΔABC$ across the $x$-axis to form $ΔA^\prime B^\prime C^\prime$. Name the coordinates of each new vertex.

2. Now rotate $ΔA ^\prime B^\prime C^\prime$ $180º$ about the origin $(0, 0)$ to form $ΔA^{\prime\prime} B^{\prime\prime} C^{\prime\prime}$. Name the coordinates of each new vertex.

3. Describe a single transformation that would map $ΔABC$ to $ΔA^{\prime\prime} B^{\prime\prime} C^{\prime\prime}$.

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