Google ClassroomGoogle Classroom
GeoGebraGeoGebra Classroom

Isometry Practice Set

Part 1: Identify the Isometry

Object: A(2, 3), B(4, 3), C(4, 6) Image: A'(5, 1), B'(7, 1), C'(7, 4) Isometry: ____________________

Object: P(-1, 2), Q(-3, 2), R(-3, 5) Image: P'(1, 2), Q'(3, 2), R'(3, 5) Isometry: ____________________

Object: J(1, 1), K(3, 1), L(3, 4) Image: J'(-1, 1), K'(-1, 3), L'(-4, 3) Isometry: ____________________

Object: S(2, 2), T(5, 2), U(5, 4) Image: S'(5, -2), T'(8, -2), U'(8, -4) Isometry: ____________________

Part 2: Find the Image Coordinates

Move triangle XYZ with vertices X(0, 0), Y(2, 4), Z(4, 0) by the vector

Reflect L(1, 5) and M(4, 8) across the line .

Rotate A(2, 6) counter-clockwise about the origin.

Reflect B(2, 3) across the x-axis, then translate it by .

Part 3: Critical Thinking

If a triangle is reflected across the y-axis and then reflected again across the x-axis, which single isometry would produce the same result?

A shape is translated 2 units right and 2 units up, then reflected across the line y = x. Is the resulting transformation a Glide Reflection? Explain why or why not.