Mid-Unit 1 Transformations Study Guide

What are the coordinates of the triangle A((1,1), B(1,5), C(5,2) after a reflection over the y-axis?

• A'(1,1), B'(1,5), C'(5,2)
• A'(-1,-1), B'(-1,-5), C'(-5,-2)
• A'(1,-1), B'(1,-5), C'(5,-2)
• A'(-1,1), B'(-1,5), C'(-5,2)

Which types of transformations are congruent after the movement?

• Rotations
• Reflections
• Translations
• Dilations

Triangle ABC has vertices A (2, 4), B (3, 1), and C (3, 3). A translation maps point A to A ’ (5, ‒1). Using this translation, what are the coordinates of B’ ?

• (6,-4)
• (0,-4)
• (6,4)
• (-2,4)

Describe the translation happening to triangle ABC to triangle A’B’C’?

• A'(1,1), B'(10,12), C'(-1,4)
• A'(-1,1), B'(0,0), C'(0,4)
• A'(1,1), B'(0,0), C'(0,-4)
• A'(-1,1), B'(-1,5), C'(-5,2)

Which sequence of transformations shows congruence from the pre-image (shaded) to the prime-image (unshaded)?

• reflection then translation
• rotation then translation
• rotation then reflection
• translation then reflection

If point B is located at (0, 2) and is translated to point B’ with coordinates (3, -5), which translation did point B undergo?

• 3 units right and 7 units down
• 3 units left and 7 units up
• 3 units up and 7 units right
• 3 units down and 7 units left

Which transformations did Quadrilateral PQRS go through to get to Quadrilateral WXYZ?

• Rotate 180o then translate 6 right
• Translate 6 right then rotate 90o ccw
• Rotate 90o ccw then translate 6 right
• Reflection over the x-axis then rotate 180o

Which of the following transformations Figure A onto Figure B?

• Translate 3 right and reflect across y-axis
• Reflect across x-axis then translate 3 right
• Translate 4 right and reflect across x-axis
• Translate 3 right and reflect across x-axis

Quadrilateral ABCD is shown on this grid. If Quadrilateral ABCD is dilated about the origin using a scale factor of 1/2 to make Quadrilateral A′B′C′D′, what will be the coordinates of A′, B′, C′, and D′?

• A'(4,2), B'(1,4), C'(4,2), D'(2,1)
• A'(-4,2), B'(1,4), C'(4,-2), D'(-2,1)
• A'(-4,-2), B'(-1,-4), C'(-4,-2), D'(-2,-1)
• A'(4,-2), B'(1,4), C'(-4,-2), D'(2,-1)

Triangle A(-3,4), B(7,4), C(1,-3) is shown below. If Triangle ABC is dilated about the origin with a scale factor of 2 into Triangle A′B′C′, the coordinates of Point C′ are ____.

• (-2,-6)

• (2, -6)

• (-2,6)

• (-6,2)