Question

4.6 understand: similar figures
show what you know!
when a triangle is dilated and transformed, what remains unchanged?
the lengths of the sides
the area of the triangle
the color of the triangle
the angles of the triangle

Explanation:

Step1: Recall properties of dilation

Dilation is a transformation that changes the size of a figure.

Step2: Analyze side - length change

When a triangle is dilated, the lengths of its sides change proportionally.

Step3: Analyze area change

The area of a triangle is related to the square of its side lengths. Since side lengths change, the area changes.

Step4: Analyze color (not a geometric property)

Color is not a geometric property related to the figure's shape and size transformation.

Step5: Analyze angle change

Angles in similar figures (formed by dilation) remain the same.

Answer:

The angles of the triangle