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Dilations Remediation Assignment

Total questions: 15

Worksheet time: 45mins

Name
Class
Date
1.
State the coordinate of the image of the given point B (-10,-6) under a dilation with center at the origin with the given scale factor k = 1/2.
a)
(5,3)
b)
(20,12)
c)
(-20,-12)
d)
(-5,-3)
2.
How do you write the algebraic notation when the scale factor is 1/2?
a)

(x, y) -> (2x, 2y)

b)

(x, y) -> (1/2x, 1/2y)

c)

(x, y) -> (-2x, -2y)

d)

(x, y) -> (2x, 1/2y)

3.
A triangle has vertices with coordinates (2,0), (3, -1) and (-2,-5). If the triangle is dilated by a scale factor of 3 with the origin as the center of dilation, what are the coordinates of the vertices of the image?
a)
(5,3), (6,2), (1,-2)
b)
(6,0), (9,-3), (-6,-15)
c)
(2/3,0), (1,-1/3), (-2/3,-5/3)
d)
(-1,-3), (0,-4), (-5,-8)
4.
State the coordinate of the image of the given point B (4,9) under a dilation with center at the origin with the given scale factor k = 2.
a)
(2,4.5)
b)
(-8,-18)
c)
(8,18)
d)
(9,4)
5.

The vertices of a square are W(3, 3), X(3, –3), Y(–3, –3), and Z(–3, 3). The square will be dilated using a scale factor of 2. What will be the coordinates of the image?

a)

W′(1.5, 1.5), X′(1.5, –1.5), Y′(–1.5,–1.5), Z′(–1.5, 1.5)

b)

W′(5, 5), X′(5, –5), Y′(–5, –5), Z′(–5, 5)

c)

W′(6, 6), X′(6, –6), Y′(–6, –6), Z′(–6, 6)

d)

W′(9, 9), X′(9, –9), Y′(–9, –9), Z′(–9, 9)

6.

A geometric transformation is described algebraically as shown below.

(x, y) ---> (3x, 3y)

Which BEST describes this transformation?

a)

a translation 3 units up and 3 units to the right

b)

a translation 3 units down and 3 units to the left

c)

a 180 degree rotation centered at the point (3,3)

d)

a dilation with scale factor 3 centered at the origin

7.
Tell whether the two figures are similar. Explain your reasoning.
a)
Yes, similar because they have the same shape and the same angles
b)
No, the ratio of corresponding sides are not equal 
c)
Yes, same shape
d)
No, different sizes
8.
Are these triangles similar?
a)
Yes
b)
No
9.
Which side length corresponds with EF?
a)
ML
b)
LM
c)
OL
d)
EH
10.
The pair of figures is similar. Find the missing side.
a)
x = 12
b)
x = 3
c)
x = 40
d)
x = 4
11.
Mrs. Ashley used similar triangles to make a design.  Which statement about the triangles in the design must be true?
a)
They are the same size and shape.
b)
They are the same size but different shapes.
c)
They have corresponding angles that are congruent.
d)
They have corresponding sides that are congruent.
12.
Pentagon JKLMN is similar to pentagon VWXYZ.
What is the measurement of angle X?
a)
30 degrees
b)
60 degrees
c)
150 degrees
d)
120 degrees
13.
Complete each proportion.
CB / DM  =  AC / ?
a)
BM
b)
MA
c)
BC
d)
AD
14.
Find y.
a)
144
b)
18
c)
72
d)
12
15.
A tree is 12 feet tall and casts a shadow 9 feet long. A building nearby casts a shadow that measures 24 feet. How tall is the building? (Draw a picture, set up a proportion)
a)
24 feet
b)
21 feet
c)
27 feet
d)
32 feet