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Transformations
1.Triangle shown was reflected over the y-axis. Find the original coordinates of triangle .a. / , , / b. / , ,
c. / , , / d. / , ,
For Exercises 2 and 3, triangle RST is rotated 90 clockwise about the origin.
The vertices of the triangle are R(2, 4), S(0, 5), and T(–1, –2).
2.Find the coordinates of and .
a. / / b. /
c. / / d. /
3.What is true about the shape and size of triangles RSTand ?
a. / The are the same.
b. / They have the same shape, but ÄPQR is slightly smaller.
c. / They have the same shape, but ÄPQR is slightly larger.
d. / Both their shapes and sizes differ.
4.The point is the result of a translation of 8 units left and 5 units up. Use an algebraic representation to describe the translation.
a. / / b. /
c. / / d. /
5.What are the coordinates of the image of after it is rotated clockwise about the origin?
a. / / b. /
c. / / d. /
6.Determine if two figures are congruent by using transformations. Explain your reasoning.
a. / congruent; A clockwise rotation of 180° followed by a translation maps triangleGHFonto triangleNPM.b. / congruent; A counterclockwise rotation of 90° followed by a translation maps triangleGHFonto triangleNPM.
c. / congruent; A reflection followed by a translation mapstriangleGHFonto triangleNPM.
d. / not congruent
Triangle GHJ has vertices at (0, 1), (4, 0), (4, 1).
7.Graph . Then reflect over the x-axis and translate it 4 units left. Label the vertices of the image .
a. /
b. /
c. /
d. /
8.Are the two triangles from number 6congruent? Justify your reasoning.
a. / no; When triangleGHJ is reflected, its shape changes.
b. / yes; A reflection followed by a translation will map triangle GHJ onto triangleG'H'J'.
c. / no; When triangleGHJ is translated, its size changes.
d. / no; When triangleGHJ is both reflected and translated, both its size and shape are changed.
9. The point R’ (-6, -7) is the result of a translation of 8 units left and 5 units up. Use an algebraic representation to describe the translation.
a.
b.
c.
d.
10. What are the coordinates of the image of G(-1, 3) after it is rotated 180º clockwise about the origin?
a. (1, -3)
b. (-1, -3)
c. (-1, 3)
d. (1, 3)
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