Translations and Reflections
3. Parallel lines, l, m, and n are shown.
If line l is mapped to line m and line m is mapped to line n, what is true for the transformation that took place?
D. Line m was translated down 4 units.
2. Which of the following is a rotation?
C
5. A regular pentagon with side lengths of 9 units is translated 2 units to the left. What is the length of one side of the pentagon after translation, in units?
9 units
1. A sequence of transformations is applied to triangle ABC to obtain similar triangle A'B'C'.
Which of these sequences are correct?
4. Triangle JKL with coordinates J(-2,7), K(-1,4), L(3,-5) is translated 3 units right and 1 unit down to form triangle J'K'L'. What is the x-value of the coordinate pair of point J'?
D. 1
13. Quadrilateral JKLM is rotated 90 degree clockwise about the origin to produce quadrilateral J'K'L'M'.
Which statement is true?
A. The measure of angle M' is 60 degrees.
10. Rectangle PQRS has a side length of 7 and 3 as shown on the grid below. Rectangle PQRS is reflected across the y-axis to form Rectangle P'Q'R'S'. What is the length of the line segment Q'R'?
A. 3
8. Triangle STU shown below is reflected about the x-axis and then reflected about the y-axis to produce triangle S'T'U'. Which of the following is the result?
A
6. Two of the 3 vertices of triangle ABC are A(2,-1) and B(4,1). The triangle is reflected across the y-axis, and the vertices of the reflected triangle are A'(-2,-1), B'(-4,1), and C'(1,4).
11. The line segment shown in the graph is rotated 90 degrees counterclockwise.
Which graph shows the rotated line segment?
A
17. Angelina drew two quadrilaterals as shown on the coordinate grid. Which statement best describes the relationship between these two quadrilaterals?
C. Quadrilateral 1 is both congruent and similar to quadrilateral 2.
15. Use the 5 congruent figures show in the coordinate grid to answer the question.
If figure 1 is rotated 90 degrees clockwise about the origin, then translated 2 units left, which figure represents its image?
A.
7. Consider the parallelogram KLMN on the coordinate plane. Which graph correctly shows the reflection of the parallelogram over the x-axis?
C.
12. The figure in the graph below will be rotated 180 degrees clockwise about the origin and then translated 9 units left. Which of the following shows the figure after this sequence of transformations?
C.
14. Triangle MNP has angles of 89, 46, and 45 as shown in the figure below. Triangle MNP is rotated 90 degrees clockwise about the origin to form Triangle M'N'P'. What is the measure of angle N'?
C. 46 degrees
16. Consider the vertices of a triangle X(-5,-4), Y(-4,2), and Z(2,-2) in the coordinate plane. Translate the triangle 2 units left and 1 unit up, then reflect it over the y-axis.
What are the new coordinates of the triangle?
D. X'(7,-3), Y'(6,3), Z'(0,-1)
9. Consider the rectangle PQRS on the coordinate plane. Which graph correctly shows the reflection of the rectangle over the y-axis?
B.
18. Select the best terms to fill the gaps in the sentence below.
Triangle ABC is similar to Triangle A'B'C'.
Triangle A'B'C' is formed by __________ Triangle ABC about the ___________.
rotating
origin