Question

write a description and a rule for each translation shown below. the gray shape is pre - image, and the white shape is the new image.

1. description: rule:
2. description: rule:
3. write a translation that will translate the triangle into the first quadrant. test your translation on the graph and write your translation as a description and as a rule. description: rule:
4. write a translation that will translate the rectangle into the first quadrant. test your translation on the graph and write your translation as a description and as a rule. description: rule:

Explanation:

9.

Step1: Observe the movement

The gray pre - image pentagon moves 4 units down and 2 units to the left to get the white image.

Step2: Write the rule

For a point \((x,y)\) in the pre - image, the rule for the translation is \((x,y)\to(x - 2,y - 4)\)

Step1: Determine the movement

The gray pre - image parallelogram moves 5 units down and 6 units to the left to get the white image.

Step2: Write the rule

For a point \((x,y)\) in the pre - image, the rule for the translation is \((x,y)\to(x - 6,y - 5)\)

Step1: Analyze the position of the triangle

The triangle is currently in the second quadrant. To move it to the first quadrant, we can translate it 3 units to the right and 2 units up.

Step2: Write the rule

For a point \((x,y)\) in the pre - image, the rule for the translation is \((x,y)\to(x + 3,y+2)\)

Answer:

Description: The pre - image is translated 2 units to the left and 4 units down.
Rule: \((x,y)\to(x - 2,y - 4)\)

10.