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06 - 04 Solutions

The document is a practice tutorial focused on geometric transformations, including translations, reflections, and rotations. It provides examples and sample answers for mapping triangles and quadrilaterals through various sequences of transformations. Additionally, it includes higher-order thinking questions related to real-world applications of these transformations.

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deepaksharma1976
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11 views2 pages

06 - 04 Solutions

The document is a practice tutorial focused on geometric transformations, including translations, reflections, and rotations. It provides examples and sample answers for mapping triangles and quadrilaterals through various sequences of transformations. Additionally, it includes higher-order thinking questions related to real-world applications of these transformations.

Uploaded by

deepaksharma1976
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
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PRACTICE TUTORIAL

Name:

6-4 Additional Practice Scan for


Multimedia
1. Leveled Practice Describe a sequence of y G
transformations that maps △EFG to △MNO.
8
A translation 4 units left and 5 6
O
E F
units down, followed by a reflection
2
across the y-axis N M x
−6 −4 −2 O 2 4 6
−2

2. △D′E′F′ is an image of △DEF after a sequence of y D


transformations.
E′
F′
a. Describe a sequence of transformations that maps
△DEF to △D′E′F′. F
Sample answer: A reflection across the E x
x-axis followed by a translation 4 units −4 −2 D′ O 2 4
left and 5 units up −2
b. Describe another way that you could map △DEF to △D′E′F′. −4
Sample answer: A reflection across the line
y = 1 followed by a translation 4 units left and
3 units up

3. Map quadrilateral ABCD to quadrilateral 4. Describe a sequence of transformations


A′B′C′D′ with a rotation of 180° about the that maps △XYZ to △X′Y′Z′.
origin followed by a translation 3 units left Sample answer: A reflection across
and 7 units up. the y-axis, followed by a translation
3 units right and 6 units down
y y
A B X
6 6

4 4
C′ D′ D C
2 2
Z
B′ A′ x X′ Y x
−6 −4 −2 O 2 4 6 −6 −4 O 2 4 6
−2

−4 −4
Z′
−6 Y′ −6

6-4 Compose Transformations 75


5. Higher Order Thinking A small store is 6. Map quadrilateral ABCD to quadrilateral
rearranging their furniture. Describe the HIJK with a reflection across the x-axis
sequences of transformations they can use followed by a translation 4 units left and
to rearrange the furniture. 2 units down.
Sample answer: They can use y
only translations and rotations, 8
or sequences of translations and
6
rotations. A piece of furniture D C
cannot be reflected in the real 4
world. 2 B
A
x
−8 −6 −4 −2 O 2 4 6 8
−2
H
−4 I
−6
K J
−8

Assessment Practice
7. PART A
Which sequence of transformations maps y
△QRS to △ABC? S
8
𝖠 A rotation of 90° about the origin, followed by 6
a translation 3 units left.
4
𝖡 A reflection across the x-axis, followed by a
rotation of 90° about the origin. R Q 2
x
𝖢 A rotation of 90° about the origin, followed −8 −6 −4 −2 O 2 4 6 8
by a reflection across the y-axis. −2 A
C
𝖣 A reflection across the x-axis, followed by a −4
rotation of 90° about the origin.
−6 B
PART B −8
Describe a sequence of transformations that
maps △ABC to △QRS.

Sample answer: A reflection across the


y-axis, followed by a 90° clockwise
rotation about the origin.

76 6-4 Compose Transformations

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