name: chapter 9: transformations and symmetry lesson 9-1...

Name: Chapter 9: Transformations and Symmetry

Lesson 9-1: Reflections Date:

MULTIPLE CHOICE Example 1: Which shows the reflected image of quadrilateral 𝐴𝐵𝐶𝐷 in line 𝑛?

A. B. C. D.

MULTIPLE CHOICE Example 2: Omar is playing miniature golf at a local course. Because a wall is

blocking his direct shot, he needs to bounce the ball off wall W and hit the hole located at point H. Which

of these steps would be needed to determine where on wall W Omar should aim?

A. Determine how far the obstructing wall is from the ball.

B. Reflect point H over the line formed by wall W.

C. Determine the exact length of wall W.

D. Find the perpendicular distance from the hole to the wall.

Example 3:

A. Graph the image of 𝐽𝐾𝐿𝑀 over 𝑥 = 1. B. Graph the image of 𝐽𝐾𝐿𝑀 over 𝑦 = – 2.


Example 4:

A. Graph the reflected image in the x-axis. B. Graph the reflected image in the y-axis.

Example 5: Graph the image of 𝐴𝐵𝐶𝐷 under reflection of the line 𝑦 = 𝑥.


Lesson 9-2: Translations Date:

MULTIPLE CHOICE Example 1: Which of the following shows the translation of ΔABC along the

translation vector?

A. B.

C. D.


x

y

Example 2:

A. Graph ΔTUV along the vector –3, 2 B. Graph pentagon PENTA with vertices P(1, 0), E(2, 2),

N(4, 1), T(4, –1), and A(2, –2) along the vector –5, –1.

Example 3: The graph shows repeated translations that result in the animation of the raindrop.

A. Describe the translation of the raindrop from position 2 to position 3

in function notation and in words.

B. Describe the translation of the raindrop from position 3 to position 4

using a translation vector.


Lesson 9-3: Rotations Date:

MULTIPLE CHOICE Example 1: For the diagram, which description best identifies the rotation of

triangle 𝐴𝐵𝐶 around point 𝑄?

A. 20° clockwise

B. 20° counterclockwise

C. 90° clockwise

D. 90° counterclockwise


MULTIPLE CHOICE Example 2: Triangle ABC has vertices A(1, –2), B(4, –6), and C(1, –6). Which shows the

image of ΔABC under a rotation of 70° counterclockwise about the point M(–1, –1).

A. B. C. D.

MULTIPLE CHOICE Example 3: Hexagon DGJTSR is shown below. What is the image of point T after a 90

counterclockwise rotation about the origin?

A. (5, −3)

B. (−5, −3)

C. (−3, 5)

D. (3, −5)


Lesson 9-4: Compositions of Transformations Date:

Example 1: Graph the image of 𝐵𝐺𝑇𝑆 after a translations along ⟨5,0⟩ and a reflection in the x-axis.

Example 2: Graph the image of 𝑇𝑈𝑉 after a translation along ⟨1,5⟩ and a rotation 180° about the origin.


MULTIPLE CHOICE Example 3: Copy and reflect figure 𝐴𝐵𝐶 in line 𝑠 and then line 𝑡. Then describe a

single transformation that maps 𝐴𝐵𝐶 onto 𝐴′′𝐵′′𝐶′′.

A. 𝐴𝐵𝐶 is reflected across lines and translated down 2 inches.

B. 𝐴𝐵𝐶 is translated down 2 inches onto 𝐴′′𝐵′′𝐶′′

C. ABC is translated down 2 inches and reflected across line 𝑡.

D. 𝐴𝐵𝐶 is translated down 4 inches onto 𝐴′′𝐵′′𝐶′′

MULTIPLE CHOICE Example 4: What transformation must occur to the brick at point 𝑀 to further

complete the pattern shown?

A. The brick must be rotated 180° counterclockwise about point 𝑀

B. The brick must be translated one brick width right of point 𝑀

C. The brick must be rotated 90° counterclockwise about point 𝑀

D. The brick must be rotated 360° counterclockwise about point 𝑀


Lesson 9-5: Symmetry Date:

Example 1: State whether the object appears to have line symmetry. Write yes or no. If yes, draw all lines of

symmetry and state their number.

A. B. C.

D. E. F.


Example 2: State whether the figure has rotational symmetry. Write yes or no. If yes, locate the center of

symmetry, and state the order and magnitude of symmetry.

A. B. C.

D. E. F.


Example 3: State whether the figure has plane symmetry, axis symmetry, both, or neither.

A. B. C. D.


Lesson 9-6: Dilations Date:

Example 1: Which diagram shows the dilation image of 𝐿𝑀𝑁 with center 𝐶 and 𝑘 =1

3.

A. B.

C. D.

Example 2: To create the illusion of a “life-sized” image, puppeteers sometimes use a light source to show

an enlarged image of a puppet projected on a screen or wall. Suppose that the distance between a light

source L and the puppet is 24 inches (LP). To what distance PP' should you place the puppet from the

screen to create a 49.5-inch tall shadow (I'M') from a 9-inch puppet?


Example 3: Trapezoid 𝐸𝐹𝐺𝐻 has vertices 𝐸(−8, 4), 𝐹(−4, 8), 𝐺(8, 4), and 𝐻(−4, −8). Graph the image

of 𝐸𝐹𝐺𝐻 after a dilation centered at the origin with a scale factor of 1

4.

x

y

name: chapter 9: transformations and symmetry lesson 9-1...

Documents