Page 69 - Math Course 2 (Book 2)

Transformations in Geometry

Let’s Begin Your Turn!

Standardized Test Example

Triangle DEF is shown on the coordinate plane.
Standardized Test Example Find the coordinates of the vertices of the image of
ΔDEF translated 3 units right and 2 units down.
Triangle ABC is shown on the coordinate plane.
Find the coordinates of the vertices of the image
of ΔABC translated 4 units right and 5 units down.

A. A’(–7, 2), B’(–5, –5), C’ (1, 0)
B. A’(1, 12), B’(3, 5), C’ (9, 10)
C. A’(–7, 12), B’(–5, 5), C’ (1, 10)
D. A’(1, 2), B’(3, –5), C’ (9, 0)

A. D’ (–4, 3), E’ (–6, –1), F’ (1, –6)
B. D’ (2, 3), E’ (0, –1), F’ (7, –6)
C. D’ (–4, 7), E’ (–6, 3), F’ (1, –2)
D. D’ (2, 7), E’ (0, 3), F’ (7, –2)

Read the Test Item
This translation can be written as the ordered pair
(4, –5). To find the coordinates of the translated
image, add 4 to each x-coordinate and add –5 to
each y-coordinate.

Solve the Test Item

vertex 4 right, 5 down translation
A(–3, 7) + (4, –5) → A’(1, 2)
B(–1, 0) + (4, –5) → B’(3, –5)
C(5, 5) + (4, –5) → C’(9, 0)

Answer D Answer

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