Transformation Review Sheet:
1) The three vertices of triangle ABC lie in Quadrant I. If triangle ABC is reflected in the x-axis,
what Quadrant will its image lie in?
2) Find the image of (3,5) after a reflection in the line y = x.
3) When point (-2,5) is reflected in the line x = 1, what are the coordinates of the new image?
4) When point (-4,-7) is reflected in the line y = -2, what are the coordinates of the new image?
5) If a translation maps (2,3) onto (4,8). What are the coordinates of B′, the image of B(4,6)
under the same translation?
6) Under what type of transformation can the image be a different size than the original figure?
7) Under e dilation with a constant of k, the image of point (2,3) is (8,12). What is the value of
k?
8) Which of the following letters has both point and line symmetry?
a) A
b) X
C) M
d) T
9) What is the total number of lines of symmetry for letter "A"?
10) Triangle ABC has coordinates A(3,4), B(1,7), and C(3,7).
a) Draw and label ABC.
b) Graph and state the coordinates of A′B′C′, the image of ABC after a reflection in the xaxis.
c) Graph and state the coordinates of A′′B′′C′′, the image of A′B′C′ after a reflection in
the line y = x.
d) Graph and state the coordinates of A′′′B′′′C′′′, the image of A′′B′′C′′ after a translation
of (x +5, y -1).
11) Triangle ABC has coordinates A(1,0), B(7,4), and C(5,7).
a) Draw and label ABC.
b) Graph and state the coordinates of A′B′C′, the image of ABC after a reflection in the
origin.
c) Graph and state the coordinates of A′′B′′C′′, the image of ABC after a dilation of 2.
d) Graph and state the coordinates of A′′′B′′′C′′′, the image of ABC after a rotation of
270°.
12) The image of triangle DEF under a point of reflection is triangle D′E′F′. Find the coordinates
of the point of reflection when: D(-3,6), E(5,5), F(2,4) and D′(-1,0), E′-5,1), and F′(-6,2).
13) The coordinates of ΔGLD are G(1,-5), L(6,-4), and D(3,-1).
a) Draw and label ΔGLD.
b) Draw and label ΔG’L’D’, the image of ΔGLD after T-8,0.
c) Draw and label ΔG’’L’’D’’, the image of ΔG’L’D’ after rx-axis.
d) What single transformation maps ΔGLD onto ΔG’’L’’D’’?
e) Draw and label ΔG’’’L’’’D’’’, the image of ΔGLD after T-8,0 ◦ rx-axis. How
does this image compare to ΔG’’L’’D’’?
14) The coordinates of ΔABC are A(3,2), B(7,6), and C(7,1).
a) On the coordinate plane, draw and label ΔABC.
b) Graph and state the coordinates of ΔA’B’C’, the image of ΔABC after rx-axis.
c) Graph and state the coordinates of ΔA’’B’’C’’, the image of ΔA’B’C’ after T0,-7.
d) Which of the above transformations is an example of a direct isometry?
15) Graph each of the following lines:
a) y = -9x + 8
c) x = 7
b) 2x – 3y = 9
d) y = -3
16) Find the equation in slope-intercept form:
a) (-4,1)(-8,6)
b) (3,-2)(-6,-8)
c) (-9,8)(-9,6)
17) Find the equation in slope-intercept form:
a) m = 2; (-1,8)
b) m = 2/3; (-6,-7)
c) m = 0; (-7,4)
18) Graph the following equations:
a) (x + 2)2 + y2 = 49
b) (x – 3)2 + (y +8)2 = 4
19) Find the equation in slope-intercept form:
a) For the line parallel to the line y – 2x = 8 that passes through the point (-3,4).
b) For the line perpendicular to y = 4 and passes through the point (-1,5).
c) For the line perpendicular to y = 1/2x – 6 that passes through the point (-4,5).