Name _________________________________
Unit 2 – Transformations
Review for Unit 2 Test (Aims #13-21)
Date __________
Math 8H
1) A translation moves A(-3, 2) to A'(0, 0). Find B', the image of B(5, 4) under the same translation.
2) What are the coordinates of the point (-12, 8) after:
a) ry = -x?
b) rorigin?
c) ry = x?
d) D3 ?
4
3) In which quadrant will an image in quadrant II lie after a R-90?
4) In which quadrant will an image in quadrant I lie after a rx-axis followed by a ry-axis?
5) If point R'(2, 1) is the image of point R(6, 3) under a dilation with respect to the origin, what is the
scale factor?
6) Does the image of a figure under a dilation with a scale factor of -3 become larger or smaller?
7) The point (2, -10) was transformed under T-2, 5 followed by a D-2 . What are the coordinates of the
final image after both transformations?
8) Using the graph to the right, describe two ways to map A to B.
9) Describe the two transformations in the graph below that are used to map figure 1 to figure 3.
10) Name the series of transformations that maps triangle ABC to
triangle A’B’C’ and then triangle A’B’C’ to triangle A’’B’’C’’.
11)
a) Graph and label ΔABC whose coordinates are A(-1, 1), B(-5, 2), and C(-1, 6).
b) Draw and label the image of ΔABC after a R90. State the coordinates.
A’ ________
B’ ________
C’ ________
c) Draw and label the image of ΔA’B’C’ after a reflection over the line x = 2. State the
coordinates.
A’’ ________
B’’ ________
C’’ ________
d) Draw and label the image of ΔA’’B’’C’’ after a T-3, -1. State the coordinates.
A’’’ ________
12)
B’’’ ________
C’’’ ________
a) Graph and label quadrilateral DEFG whose coordinates are D(-2, 3), E(1, 3),
F(3, -1) and G(-4, -1).
b) Draw and label the image of quadrilateral DEFG after a rx-axis. State the coordinates.
D’ ________ E’ ________ F’ ________ G’ ________
c) Draw and label the image of quadrilateral D’E’F’G’ after a T6, -8. State the coordinates.
D’’ ________
E’’ ________
F’’ ________
G’’ ________
d) Draw and label the image of quadrilateral DEFG after a D2. State the coordinates.
D’’’ ________
E’’’ ________
e) Find the length of DG.
f) Find the area of quadrilateral DEFG.
F’’’ ________
G’’’ ________
15) When triangle ABC was dilated by a scale factor of 3, centered at the origin, the result was its
image of triangle A’B’C’. The vertices of triangle A’B’C’ are
A’ (3, 3), B’ (3, 6), and C’ (6, 9)
a) Draw A’B’C’ on the graph below.
b) What are the coordinates of the vertices of ABC?
Vertices A ( _______ , ________) B ( _______ , _______) C ( _______ , _______)