Question

for exercises 9 and 10, square mnop has vertices m(1, 3), n(3, 5), o(5, 3), and p(3, 1). write the coordinates of square mnop after each translation. 9. 2 units right and 3 units up 10. 6 units left and 7 units down

Explanation:

Step1: Recall translation rule

For a translation $a$ units right and $b$ units up, the rule for a point $(x,y)$ is $(x + a,y + b)$. For a translation $a$ units left and $b$ units down, the rule is $(x - a,y - b)$.

Step2: Find coordinates for exercise 9

For point $M(1,3)$: $M'=(1 + 2,3+3)=(3,6)$
For point $N(3,5)$: $N'=(3 + 2,5+3)=(5,8)$
For point $O(5,3)$: $O'=(5 + 2,3+3)=(7,6)$
For point $P(3,1)$: $P'=(3 + 2,1+3)=(5,4)$

Step3: Find coordinates for exercise 10

For point $M(1,3)$: $M'=(1-6,3 - 7)=(-5,-4)$
For point $N(3,5)$: $N'=(3-6,5 - 7)=(-3,-2)$
For point $O(5,3)$: $O'=(5-6,3 - 7)=(-1,-4)$
For point $P(3,1)$: $P'=(3-6,1 - 7)=(-3,-6)$

Answer:

1. $M'(3,6),N'(5,8),O'(7,6),P'(5,4)$
2. $M'(-5,-4),N'(-3,-2),O'(-1,-4),P'(-3,-6)$