Question

select the correct image.

which trapezoid shows a translation of trapezoid a?

Explanation:

Define translation properties

Using the Geometric Transformations and Rigid Transformations knowledge points

• A translation slides a figure without rotating, reflecting, or resizing it.
• The orientation of the figure must remain exactly the same.

Analyze the original figure

Using the Geometric Transformations knowledge point

• Trapezoid A has its shorter parallel base on top and its longer parallel base on the bottom.
• The non-parallel sides slant outward from top to bottom.

Evaluate the options

Using the Rigid Transformations knowledge point

• Trapezoid B is rotated \(90^\circ\) clockwise.
• Trapezoid C is reflected vertically (flipped upside down).
• Trapezoid D has the exact same orientation and shape as Trapezoid A, shifted to the right.

Answer:

• (A) Trapezoid A
• (B) Trapezoid B
• (C) Trapezoid C
• (D) Trapezoid D (Correct answer)