Exam: 06.07 Transformations Practice Exam

Exam: 06.07 Transformations Practice Exam
Student Name: KADE STEPHENS

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Question 1(Multiple Choice Worth 2 points)
(Rotations MC)

Polygon ABCD is drawn with vertices at A(1, 5), B(1, 0), C(−1, −1), D(−4, 2). Determine the image vertices of B′ if the preimage is rotated 180° counterclockwise.

B′(0, −1)
B′(0, 1)
B′(−1, 0)
B′(1, 0)
Question 2(Multiple Choice Worth 2 points)
(Rotations LC)

Polygon KLMN is drawn with vertices at K(0, 0), L(5, 2), M(5, −5), N(0, −3). Determine the image vertices of K′L′M′N′ if the preimage is rotated 270° clockwise.

K′(0, 0), L′(−2, 5), M′(5, 5), N′(3, 0)
K′(0, 0), L′(−2, −5), M′(−5, 5), N′(−3, 0)
K′(0, 0), L′(−5, −2), M′(5, −5), N′(3, 0)
K′(0, 0), L′(−5, −2), M′(−5, −5), N′(0, 3)
Question 3(Multiple Choice Worth 2 points)
(Similar Triangles MC)

Two trees are planted next to each other. One tree is 4 meters tall and casts a 16-meter shadow. Determine the height of the other tree if it casts a 29-meter shadow.

1.81 m
3.25 m
7.25 m
12.25 m
Question 4(Multiple Choice Worth 2 points)
(Translations MC)

Triangle PQR is drawn with coordinates P(0, 2), Q(0, 5), R(1, 4). Determine the translation direction and number of units if Q′(9, 5).

9 units down
9 units up
9 units to the right
9 units to the left
Question 5(Multiple Choice Worth 2 points)
(Identifying Transformations LC)

Use the image to determine the type of transformation shown.

Preimage of polygon ABCD. A second image, polygon A prime B prime C prime D prime to the right of the first image with all points in the same position.

Reflection across the x-axis
90° clockwise rotation
Horizontal translation
Vertical translation
Question 6(Multiple Choice Worth 2 points)
(Identifying Transformations LC)

Use the image to determine the line of reflection.

An image of polygon VWYZ with vertices V at negative 9, 1, W at negative 9, negative 1, Y at negative 3, negative 1, and Z at negative 3, 1. A second polygon V prime W prime Y prime Z prime with vertices V prime at 7, 1, W prime at 7, negative 1, Y prime at 1, negative 1, and Z prime at 1, 1.

Reflection across y = 1
Reflection across x = −1
Reflection across the x-axis
Reflection across the y-axis

Reflection across the x-axis