810 Module 9 Study Guide - Transformations
Name:______________________ Date:__________
Transformation
Picture
Translation
Reflection
Rotation
1.
Draw the following transformation:
Reflection over the y-axis and translated down 3 units.
2.
What are the coordinates of the final image?
A’=
B’=
C’=
D’=
3. What changed from the original picture to the image?
a. Orientation
b. Location
c. Size
Vidal
Alcock
Feeney
Explanation (Reason)
4.
The vertices of a trapezoid are located at the following points on a coordinate grid.
(1, 2), (3, 1), (3, 5), (1, 4)
The trapezoid is translated 2 units to the right. What are the coordinates of the image of the
trapezoid?
a. (3, 2), (5, 1), (5, 5), (3, 4)
b. (3, 2), (5, 1), (5, 5), (3, 4)
c. (1, 4), (3, 3), (3, 7), (1, 6)
5. What would the figure below look like after a reflection across the x-axis? Sketch the image.
6. A scalene triangle is rotated 90 clockwise about the origin. Which of the following statements is not
true?
A. The new triangle is the same size as the original triangle.
B. The new triangle is the same shape as the original triangle.
C. The x-coordinates of the new triangle are the same as the x-coordinates of the old triangle.
7.
The triangle shown in the diagram above is translated 6 units down. In which quadrant is the image of
the triangle located? ________________
8. Graph the triangle with vertices listed below.
A(1, 1), B(1, 5), C(4, 1)
The triangle is reflected across the y-axis. What are the coordinates of the image of the triangle?
A’ (_________, _________)
B’ (_________, _________)
C’ (_________, _________)
9.
a.) Find the coordinates for triangle ABC.
A ________________
B ________________
C ________________
b.) Find the coordinates for triangle A’B’C’ using the
transformation (x, y)  (x – 3, y). Graph the new image.
A’ ________________
B’ ________________
C’ ________________
c.) Find the coordinates for triangle A’’B’’C’’ using the transformation of a rotation 90° clockwise about
the origin. Graph the new image.
A’’ _________________
B’’ _________________
C’’ _________________
10.) The pre image and the image were not labeled. Circle ALL transformations that could have created
the diagram.
a.) Rotation of 180°
b.) Rotation of 90°, translated 2 units left
c.) Translation of 2 units down, reflection across the y axis
d.) Translated 2 units up, Rotation 90° counter-clockwise
e.) Reflection across the x axis and reflection across the y axis
f.) Reflection across the y axis
11.) Point A is located at (5, -3) and is reflected over the y-axis.
Write the algebraic rule for the transformation: (x, y)  ( ________, _________ )
What are the coordinates of A’?
12.)
a.) If triangle PQR is rotated 90° counterclockwise, what will be the coordinate
of P’?
b.) If rectangle ABCD is transformed using the rule (x, y)  (x + 4, y – 2),
what will be the coordinate of D’?