Congruence and Orientation on Transformation on Coordinate Plane

Which of the following is not a rigid transformation?

• Rotation

• Reflection

• Dilation

• Translation

A quadrilateral is plotted on the coordinate plane. Each of its vertices undergoes the same transformation. Which rule below represents a transformation that does NOT preserve the length of the sides of the quadrilateral?

• A. (𝑥, 𝑦) → (𝑥 + 2, 𝑦 + 5)

• B. (𝑥, 𝑦) → (−𝑥 − 2, 𝑦 − 3)

• C. (𝑥, 𝑦) → (3𝑥 − 2, 𝑦 − 3)

• D. (𝑥, 𝑦) → (−𝑥 − 2, −𝑦 − 3)

True or False: all transformations except for dilations keep the figures congruent.

• TRUE

• FALSE

Which term does NOT a term to describe a change that preserves the size and shape of a geometric figure?

• Similarity

• Rigid motion

• Congruence transformation

• Isometry

Translations, reflections and rotations are all known as ________________________.

• Geometry

• Transformations

• Congruent

Translations, rotations, and reflections are three different types of what?

• Transformations

• Geometry

• Vectors

• Shapes

The direction in which a figure is placed on a coordinate plane.

• Image

• Orientation of a figure

• Property of Orientation

• Pre-image

Slides a figure without turning it. Every point in the figure goes the same distance in the same direction.

• Reflection

• Translation

• Rotation

• Dilation

A transformation that produces a mirror image of the original figure over a line of reflection (flip).

• Reflection

• Translation

• Rotation

• Dilation

Congruence is preserved when a two dimensional figure is transformed and the image is identical in shape and size.

• Proportional

• Property of Orientation

• Scale Factor

• Property of Congruence