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Chapter 4 Quiz 1 - Translations

Total questions: 17

Worksheet time: 1hrs 25mins

Name
Class
Date
1.

Write the rule that translates the green shape to the blue shape...

a)

3 Left

3 Down

b)

3 Right

3 Up

c)

2 Right

3 Up

d)

2 Left

3 Down

2.

Determine the rule that translates ΔABC to ΔA'B'C'.

a)

T(x, y) --> (x + 2, y - 5)

b)

T(x, y) --> (x + 2, y - 9)

c)

T(x, y) --> (x - 2, y + 9)

d)

T(x, y) --> (x - 2, y + 5)

3.

What does a translation do to a figure?

a)

Turns it 90* clockwise

b)

Mirrors it

c)

Shrinks it

d)

Slides it

4.

How do you represent a Translation Algebraically?

a)

(+ y, + x)

b)

(x + a, y + b)

c)

(+ x , + y)

d)

(ax, by)

5.

Point M(-3, 5) is translated using this rule.

T(x, y) --> (x - 1, y)

What are the coordinates of M'?

a)

(-4, 5)

b)

(-2, 5)

c)

(-4, 4)

d)

(4, 4)

6.

Write a RULE for the translation of ΔABC to ΔA'B'C'.

a)

T(x, y) --> (x - 1, y + 2)

b)

T(x, y) --> (x - 2, y + 1)

c)

T(x, y) --> (x + 2, y - 1)

d)

T(x, y) -->(x + 1, y - 2)

7.

Which answer shows a rotation?

a)

d

b)

c

c)

b

d)

a

8.

Identify the transformation.

a)

Translation 2 units down

b)

Reflection across x-axis

c)

180º Rotation

d)

Reflection across y-axis

9.

Which triangle is a translation of ΔX?

a)

ΔA

b)

ΔB

c)

ΔC

d)

ΔD

10.

Point F is transformed by using the rule

T(x, y) --> (x - 6,y + 8).

The image is F'(-4,1).

Which point is the pre-image?

a)

F(-10, 9)

b)

F(2, -7)

c)

F(-2, 7)

d)

F(10, -9)

11.

Isometric transformations of geometric figures have the:

a)

Same size and same name

b)

Sides equal and angles smaller

c)

Same size and same shape

d)

Angles equal and sides smaller

12.

Flipping a figure is which kind of transformation?

a)

Rotation

b)

Reflection

c)

Dilation

d)

Translation

13.

Name the vector

a)

JK\overrightarrow{JK}

b)

KJ\overrightarrow{KJ}

c)

JK\overline{JK}

d)

KJ\overline{KJ}

14.

The vertices of

 ΔABC\Delta ABC are A(2, 1),  B(-6, 4), and C(-3, -2).  

Translate the triangle using vector    BB  <1, 3>\overrightarrow{BB'}\ \rightarrow\ <-1,\ 3>  . 

What are the coordinates of B'?

a)

B'(7, -7)

b)

B'(5, -1)

c)

B'(-7, 7)

d)

B'(-5, 1)

15.

Find the image of  P(3, 4)P\left(3,\ 4\right)  after the composition of translations:


  T(x, y)(x+1, y2)T\left(x,\ y\right)\rightarrow\left(x+1,\ y-2\right)  


then   T(x, y)(x5, y+1)T\left(x,\ y\right)\rightarrow\left(x-5,\ y+1\right)  

a)

P'(-2, 5)

b)

P'(4, 2)

c)

P'(-1, 3)

d)

P'(2, 6)

16.

Write the vector's component form. (Assume the units on the graph are 1)

a)

 <3, 6><3,\ 6>  

b)

 <3, 6><-3,\ -6>  

c)

 <6, 3><6,\ 3>  

d)

 <6, 3><-6,\ -3>  

17.

Find the component form of the vector that translates

 A(3,2) to A(1,4)A\left(3,-2\right)\ to\ A'\left(-1,4\right)  .


(What's the RULE?)

a)

 AA  <4, 2>\overrightarrow{AA'}\ \rightarrow\ <-4,\ 2>  

b)

 AA  <2, 2>\overrightarrow{AA'}\ \rightarrow\ <2,\ 2>  

c)

 AA  <4, 6>\overrightarrow{AA'}\ \rightarrow\ <-4,\ 6>  

d)

 AA  <2, 6>\overrightarrow{AA'}\ \rightarrow\ <2,\ 6>