Translations, Reflections, and Rotations preserve congruence.

Give an example of a rigid motion transformation.

Dianne drew a triangle with coordinates (1, 3), (3, 2), and (4, 2). She drew an image of the triangle with coordinates (−1, 3), (−3, 2), and (−4, 2).

Which rule describes the transformation?

John draws a square on a coordinate plane. Then, he draws an image of the square 3 units to the right of the original square.

Which statement below is true?

Which rule best describes the transformation?

A trapezoid was transformed on a coordinate grid using the rule (x, y) → (–x, y). Which of the following describes this transformation?

Look at the congruent triangles shown on the coordinate plane.

Which statement best describes the transformation and gives the proper algebraic rule used to create triangle DEF from triangle ABC?

Triangle HJK is graphed on the coordinate grid. Triangle HJK will be transformed using the rule (x, y) → (x, −y) to create triangle H′J′K′.

Which graph represents triangle H′J′K′?

Triangle ABC has vertices A (−4, −2), B (−1, 3), and C (5, 0) .

What clockwise angle of rotation about the origin was performed on triangle ABC to create triangle A′B′C′?

Look at the triangles shown on the coordinate plane.

What is the algebraic rule for the transformation pictured above?

A circle is graphed on a coordinate grid with its center at (−4, 7). The circle will be translated p units to the right and v units down. Which rule describes the center of the new circle after this translation?

Justify your answer.