- 1. Amber is explaining to Kelsey about transformations. Which statement is correct? A. Figure a is a reflection and figure b is a translation. B. Figure b is a reflection and figure a is a translation. C. Figure a is reflection and figure c is also a reflection. D. Figure c is a rotation and figure b is a reflection.
A) Statement D
B) Statment C
C) Statement B
D) Statement A
- 2. Daniel drew these two figures on the coordinate plane. He translated figure A to figure B. Decide what notation displays this starting at point (3,0)?
A) (x-5, y)
B) (x, y+5)
C) (x+5, y)
D) (x, y-5)
- 3. Jack and Josh are in a disagreement about Rotations. Jack believes that figure d is a rotation, but Josh believes that figure c is a rotation. Verify which figure is a rotation in this coordinate grid.
A) Figure B
B) Figure D
C) Figure C
D) Figure A
- 4. Four classmates were discussing the properties of polygon JKLM to polygon OMDE. They needed to prove the two polygon's similarity by a series of transformations. The polygon's had been dilated and each classmate gave a different scale factor. Jimmy said that the scale factor was 3, Jamie said 6, Mark said 4, and Gina said 2. Who is correct?
A) Jamie = 6
B) Mark = 4
C) Gina = 2
D) Jimmy = 3
- 5. By a series of transformations, figure ABCD can be proved congruent to figure FGHI by:
A) Rotating figure ABCD 90 ° counter-clockwise.
B) Reflecting figure ABCD over the x-axis and then reflecting it over the y-axis
C) Rotating figure ABCD 180 ° counter-clockwise and then reflecting it over the x-axis
D) Reflecting figure ABCD over the x-axis and then translating it 5 units right
- 6. By a series of transformations, Triangle ABC can be proved congruent to triangle DEF by:
A) Rotating triangle ABC 90° and then reflecting it over the y-axis
B) Relecting triangle ABC over the y-axis and then translating down 2 units
C) Rotating triangle ABC 180°
D) Relfecting triangle ABC over the x-axis and then translating down 5 units
- 7. A square is located at points A(1,1) B(1,4) C(4,1) D(4,4) what would the coordinates of A’B’C’D’ be if the square was dilated by 3? Be sure to use graph paper to find this answer if needed!
A) A’(1,1) B’(1,4) C’(4,1) D’(4,4)
B) A’(1/3,1/3) B’(1/3,4/3) C’(4/3,1/3) D’(4/3,4/3)
C) A’(3,3) B’(3,12) C’(12,3) D’(12,12)
D) A’(3,3) B’(1,4) C’(4,1) D’(4,4)
- 8. Kelly decided to rotate the figure 180 degrees clockwise about the origin, determine what the coordinates of point A' will be.
A) (-4, 5)
B) (-5, -4)
C) (4, -5)
D) (-4, -5)
- 9. Jake drew a translation of pentagon ABCDE 6 units down on his coordinate grid. Conclude where the coordinate point of A' will lie.
A) (2, -1)
B) (-4, -7)
C) (-4, 5)
D) (-10, -1)
- 10. Decide what will be the new coordinates of the vertices for the triangle if it is reflected over the y-axis in the coordinate grid.
A) (−1,1),(−4,4),(5,1)
B) (−1,1),(−4,4),(−5,1)
C) (−1,1),(4,4),(−5,1)
D) (1,1),(4,4),(5,1)
- 11. If Triangle PQR is similar to triangle XYZ then determine the measure of side length k.
A) 30
B) 36
C) 25
D) 60
- 12. In the diagram, choose the explanation that gives the best reason to prove that the figures are similar?
A) The figures are congruent because they have the same shape and same angles.
B) The figures are similar because they look like one another.
C) The figures are similar because they maintain the same shape and has been dilated by the scale factor of 3.
D) The figures are similar because they maintain the same shape and have a scale factor of 2
- 13. Figure JKLM is similar to figure ONDE by the following series of transformations:
A) Rotate 90° counter-clockwise about the origin and then dilate by a scale factor of 2.
B) Rotate 90° clockwise about the origin and then reflect over the y-axis and then dilate by a scale factor of 2.
C) Translate right 9 units and then dilate by a scale factor of 2.
D) Reflect JKLM over the y-axis and then dilate by a scale factor of 2.
- 14. Jessica and Erika were discussing what makes two figures congruent. Jessica claimed that you can prove the congruence by a series of transformations. Erika does not believe that this is possible because she doesn't think the triangles can ever line back up on the grid again. Decide who is correct - Jessica or Erika. Justify your reasoning with proof and examples of the series of transformations needed to prove (or disprove) that triangle EFG is congruent to triangle ABC.
- 15. Describe the series of transformations that created quadrilateral A'B'C'D' from quadrilateral ABCD. Use the keyboard to type your answer completely.
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