Review on Transformations in a Coordinate Plane

Which figure is a translation of Figure I?

• Figure A

• Figure B

• Figure C

• None of the above

Translations, reflections and rotations are all known as ________________________.

• Geometry

• Rigid Transformations

• Congruent

• Non- Rigid Transformations

What is true for a pre-image and image when a reflection is preformed?

• The image is larger

• The pre-image is larger

• The image has different angle values

• The pre-image and image are the same size

What is the original figure (prior to a transformation) called?

• Pre-Image

• Image

In a translation, the Pre-Image and Image are ___________.

• Congruent

• Similar

• Different

• Two Colors

What type of transformation is shown?

• Translation

• Reflection

• Rotation

Triangle XYZ has vertices at X(2,3), Y(5,6), and Z(6,2). If XYZ is translated five units down and three units right to create triangle ABC, what will the coordinates of ABC be?

• A(5,-2), B(8,1), C(9,-3)

• A(9,-3), B(5,-2), C(8,1)

• A(-3,6), B(0,9), C(1,5)

• A(-1,8), B(2,11), C(3,7)

In the image of trapezoid ABCD, the x-axis bisects the legs and the y-axis bisects the bases. What transformation(s) will map ABCD onto itself?

• A 180 degree rotation about the origin

• A reflection across the x-axis

• A reflection across the y-axis

• A reflection across a line connecting vertices A and D

• A 90 degree clockwise rotation about the origin

Quadrilaterals ABCD and A'B'C'D' are shown on the coordinate plane. Which transformation or sequence of transformations would result in ABCD being mapped on A'B'C'D'? Select all that apply.

• A 180 degree rotation about the origin

• A reflection across the x-axis followed by a reflection across the y-axis

• A reflection across the y-axis followed by a translation up four units

• A 270 degree counterclockwise rotation about the origin

Quadrilaterals ABCD and A'B'C'D' are shown on the coordinate plane. Quadrilateral ABCD will be rotated 90 degrees counterclockwise about the origin and then reflected about the x-axis to create quadrilateral EFGH. What will the x-coordinate of H be?

• 2

• -1

• -2

• 1