Question

question 3
which of the following is not an example of a rigid transformation?
rotation
translation
reflection
dilation
question 4
a point (-2,4) is reflected over the x-axis.
its image is ( , )
hide math input
basic symbols greek other
chat with a tutor

Explanation:

Question 3

Step1: Recall the definition of rigid transformation

A rigid transformation preserves the shape and size of a figure. Rotation, translation, and reflection are rigid transformations as they do not change the shape and size of the figure.

Step2: Analyze dilation

Dilation changes the size of a figure (either enlarges or reduces it). So, it is not a rigid transformation.

Question 4

Step1: Use the reflection rule over the \(x\) - axis

When a point \((x,y)\) is reflected over the \(x\) - axis, the rule is \((x,y)\to(x, - y)\).

Step2: Apply the rule to the given point

For the point \((-2,4)\), using the rule \((x,y)\to(x, - y)\), we substitute \(x=-2\) and \(y = 4\). So the image is \((-2,-4)\).

Answer:

Question 3: Dilation
Question 4: \((-2,-4)\)