Page 81 - Math Course 2 (Book 2)

Transformations: Translated Images
Mo. 9

Lesson 3
Let’s Begin

KEY CONCEPTS:
Angle of Depression
1. Draw translated images using coordinates.
2. Draw translated images by using repeated Example
reflections.

Triangle TUV has vertices T(–1, –4), U(6, 2), and
V(5, –5). If ΔTUV is translated 3 units up and 5 units
MO. 9 - L3a left to create ΔT’U’V’, what are the coordinates of
the vertices of ΔT’U’V’?
A T’(-6, -1), U’(11, 5), V’(0, -2)
Drawing Translated Images B T’(4, -1), U’(11, 5), V’(10, -2)
C T’(4, -1), U’(1, 5), V’(10, -2)
D T’(-6, -1), U’(1, 5), V’(0, -2)

Vocabulary A-Z Read the Test Item

Let us learn some vocabulary You are asked to find the coordinates of the image
of ΔTUV after a translation of 3 units up and 5 units
left or (x, y) → (x – 5, y + 3).
translation
A translation is a transformation that moves all Solve the Test Item T’ (–6, –1)
T(–1, –4) → T’ (–1 – 5, –4 + 3) or
points of a figure the same distance in the same U(6, 2) → U’ (6 – 5, 2 + 3) or U’ (1, 5)
direction.
V(5, –5) → V’ (5 – 5, –5 + 3) or V’ (0, –2)

3 in.

5 in. Answer D
Each point of the
triangle is
translated(moved)
5 inches to the right and Repeated Translations
then 3 inches up
Example
composition
A transformation made up of successive
transformations is called a composition. ANIMATION

A The graph shows
B repeated translations
D B’ that result in the
C animation of a
C’ A’ raindrop. Find the
D’ A’’ translation that
B’’ moves raindrop 2 to
D’’ raindrop 3 and then
the translation that
C’’ moves raindrop 3 to
raindrop 4.

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