Properties of Transformations

A square with side lengths of 4 units is translated on the coordinate plane. One vertex of the image is at (2, 1). Which ordered pair could represent another vertex of the image?

Not (2, 6)

Rectangle ABCD has been rotated 180 degrees about the origin to form rectangle A'B'C'D'. What are the coordinates of point D'?

Not (−3, 5)

A rotation was applied to the right triangle such that is perpendicular to . What is the measure of the angle X'Z'X?

Not 120

Triangle CAT is equilateral and centered at the origin. How many degrees will it need to be rotated counterclockwise about the origin to take point C to the initial location of point A?

Not 180°

An isometric transformation is applied to a trapezoid to create a parallelogram. What is the length of JK?

Not 6 cm

The graph shows trapezoid F'G'H'J'. If the trapezoid is the image of a translation of FGHJ, what must be true of FGHJ?

Not JH must be perpendicular to H'J'.

A transformation was applied to ABCD to create A'B'C'D'. Angles A and C have the same measure. Which statements are true about the relationship between the figures? Check all that apply.

Not Quadrilateral A'B'C'D' is an isometric transformation of quadrilateral ABCD. Angle C' will have the same measure as angle A Segment C'D' can be obtained through an isometric transformation of segment AD.

A translation was applied to square ABCD to form A'B'C'D. Which line segment defines the translation?

Not C

Which explains the transformation applied to rectangle RECT to form rectangle R'E'C'T'?

The rectangle was reflected over the x-axis.

What isometric transformation was applied to triangle ABC?

rotation