Symmetry and Sequences of Transformations

Symmetry and Sequences of Transformations

9th - 12th Grade

25 Qs

quiz-placeholder

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Symmetry and Sequences of Transformations

Symmetry and Sequences of Transformations

Assessment

Quiz

Mathematics

9th - 12th Grade

Hard

CCSS
8.G.A.3, HSG.CO.B.6, HSG.CO.A.2

+3

Standards-aligned

Created by

Barbara White

FREE Resource

25 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • Ungraded

How do you feel before the review

Meh

I'm ok

HELP

I've got this

2.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Translation P maps the point (3, 5) to (1, 7). Which of the following rules defines the translation P?

P: (x, y) → (3x, 3y)

P: (x, y) → (x + 2, y -2)

P: (x, y) → (⅓x, ⅓y)

P: (x, y) →(x - 2, y + 2)

Answer explanation

Translation is only moving left/right or up down. How far horizontally did you move, and how far vertically did you move?

Tags

CCSS.HSG.CO.A.2

3.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Two transformations were performed:

1st Transformation: (x, y) → (x - 2, y + 3)

2nd Transformation: (x - 2, y + 3)→(2 - x, y + 3)

What transformations were used?

a reflection over the x-axis, then a translation

a reflection over the y-axis, then a translation

a translation, then a reflection over the x-axis

a translation then a reflection over the y-axis

Answer explanation

the first transformation must be a translation because we are adding to or subtracting form the original position. When you reflect over the x-axis, the y values negate, when you reflect over the y-axis the x values negate.

Tags

CCSS.8.G.A.3

4.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Triangle ABC has the coordinates A(2, 7), B( -3, 5), C(3, 2).It is translated in such a way that (x, y) → (-x, -y). What are the coordinates of C'

(-3, -2)

(-2, -3

(-3, 2)

(3, -2)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

5.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Point F translated 4 units right and 6 units down. Which composition would move Point F to the same position?

translate 4 units left and 2 units down, then 8 units right and 4 units down

translate 2 units left and 6 units down, then 6 units right and 1 unit down

translate 5 units right and 4 units down, then 1 unit right and 2 units down

translate 4 units right and 6 units down, then 4 unis left and 6 units up

Answer explanation

Remember to combine the movements left/right, and combine the movements up/down. The totals for each should equal the distance traveled

Tags

CCSS.8.G.A.3

6.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Media Image

Figure A translated to B, then again to C. What is the composition of transformation?

T<3,5> ∘ T<-5, -1> → T<-2, 4>

T<-2,4> ∘ T<5, 1> → T<-3,5>

T<5,3> ∘ T<-1,-5> → T<4,-2>

T<1,1> ∘ T<-1,3> → T<4,4>

Answer explanation

You can either add the x's and y's, or just look at the image and determine the direct translation

Tags

CCSS.8.G.A.3

7.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Media Image

The figure is reflected over the x-axis. Which transformation would produce the same result as this reflection?

A 90 degree clockwise rotation about the origin and a reflection over the line x = 6

A 90 degree clockwise rotation about the origin and a reflection over the line y = -4

A reflection over the line x = 6 and a translation down 8

A reflection over the line y = 4 and a translation down 8

Answer explanation

Understand what a rotation does to orientation.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

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