Question

aisha is designing a new level in her favorite video game. on the grid, her character moves 4 steps to the right and 2 steps up to reach a treasure chest. she wants to describe this movement using a transformation and a coordinate rule so she can use it again in other parts of the level. question 1 2 points what type of transformation moves a shape without turning or flipping it? dilation translation rotation reflection question 2 2 points which coordinate rule matches a move 4 units right and 2 units up? (x,y)→(x - 4,y + 2) (x,y)→(x - 2,y - 4) (x,y)→(x + 4,y - 2) (x,y)→(x + 4,y + 2)

Explanation:

Question 1:

• Translation: A translation is a transformation that slides a shape without turning or flipping it. Dilation changes the size, rotation turns the shape, and reflection flips the shape.

Question 2:

• Horizontal movement: Moving 4 units right means adding 4 to the \(x\) - coordinate (\(x\to x + 4\)).
• Vertical movement: Moving 2 units up means adding 2 to the \(y\) - coordinate (\(y\to y+2\)). So the coordinate rule is \((x,y)\to(x + 4,y + 2)\).

Answer:

Question 1: B. Translation
Question 2: D. \((x,y)\to(x + 4,y + 2)\)