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Quiz #6 - Dialations

Total questions: 24

Worksheet time: 48mins

Name
Class
Date
1.
Does the image show a Dilation?
a)
Yes
b)
No
2.

The following image is a

a)

translation

b)

rotation

c)

reflection

d)

dialtion

3.
Choose the correct scale factor:
a)
2
b)
3
c)
1/3
d)
1/2
4.
A dilation produces a congruent figure
a)
True
b)
False
c)
D
5.
How do you write the algebraic notation when the scale factor is 1/2?
a)
(x, y) goes to (2x, 2y)
b)
(x, y) goes to (1/2x, 1/2y)
c)
(x, y) goes to (-2x, -2y)
d)
(x, y) goes to (2x, 1/2y)
6.
Which of the following is the algebraic representation for a dilation?
a)
(x, y) → (x, 3y)
b)
(x, y) → (3x, 3y)
c)
(x, y) → (x, y - 3)
d)
(x, y) → (.5x, .4y)
7.
Find the measure of x:
a)
6
b)
24
c)
33
d)
36
8.
A triangle has vertices A(0,0), B(8,0), C(3,-2). Find the coordinates of the triangle after a dilation with a scale factor of  4. The dilation is (X,Y) --- (4x,4y)
a)
A(3,3), B(4,4), C(-3,-4)
b)
A(-4,8), B(6.5,8), C(7,7)
c)
A(0,0), B(32,0), C(12,-8)
9.
A  figure has a vertices W(-2,4), and X(1,4. Find the  coordinates of the figure after a dilation with a scale factor of 2.
a)
W(-4,83),  X(2,8)
b)
W(-4,8), X(2,8)
10.

What is the scale factor for the dilation that takes quadrilateral ABCD to A'B'C'D'?

a)

1/2

b)

2

c)

1/3

d)

3

11.

True or False, a Dilation is a type of Translation?

a)

True

b)

False

12.

Is the following a dilation and what is the scale factor to turn ABCD into A'B'C'D'

a)

No, it is not a dilation

b)

Yes, k = 2

c)

Yes, k = 1/2

d)

Yes, k = 1/3

e)

Yes, k = 3

13.
Determine how to translate triangle ABC to triangle A'B'C'. 
a)
right 2, down 5
b)
right 2, down 9
c)
left 2, up 9
d)
left 2, down 9
14.
A slide is also called a _________.
a)
Translation
b)
Reflection
c)
Rotation
d)
Transformation
15.
A turn is also called a ___________.
a)
Translation
b)
Reflection
c)
Rotation
d)
Transformation
16.

What are ALL the correct ways to describe the angle outlined in Grey.

a)

∠ACB\angle ACB

b)

∠CAD\angle CAD

c)

ΔCAE\Delta CAE

d)

∠EAC\angle EAC

e)

∠CAE\angle CAE

17.
Write a rule for the translation.
a)
 (x -1, y  + 2)
b)
 (x -2, y  + 1)
c)
 (x +2, y  - 1)
d)
(x +1, y  -  2)
18.

Point A is at (-3, 4), where is point A' if you translate it 4 units to the right and 3 units down?

a)

(-7, 7)

b)

(1, 1)

c)

(-7, 1)

d)

(1, 7)

19.

Rotation Rules (clockwise):

90o rotation: (x, y)→(y, -x)

What are the coordinates for A' after a 90⁰ rotation clockwise?

a)

(1, 3)

b)

(3, 1)

c)

(3, -1)

d)

(1, -3)

20.

Select ALL of the proper notation for  ∠2\angle2 ? (This is a multiple right answer question.)

a)

 ∠CDB\angle CDB  

b)

 ∠BDC\angle BDC  

c)

 ∠DBC\angle DBC  

d)

 ∠CBD\angle CBD  

e)

 ∠BCD\angle BCD  

21.

If point A is located at (-5, 4) and is rotated  90°90\degree  clockwise around the origin, what is the new A'?

a)

(4, 5)

b)

(-4, -5)

c)

(5, -4)

d)

(-4, 5)

22.

If point A is at (3, 2) and it is rotated  270°270\degree clockwise around the origin, what is the new A'?

a)

(2, -3)

b)

(-3, -2)

c)

(-2, 3)

d)

(0, 0)

23.

If the following figure is translated right 10 units and down 4 units, list the location of B'?

a)

(4, -2)

b)

(-4, -6)

c)

(-2, 2)

d)

(2, 6)

24.

Is the quadrilateral BEFG a dilation of BADC? What is the scale factor?

a)

No

b)

Yes, k = 3/4

c)

Yes, k = 1.25

d)

Yes, k = 3/5

e)

Yes, k = 1.4