WorksheetsSimilarity and Scale Factor
Total questions: 10
Worksheet time: 5mins
Name
Class
Date
1.
a) If a scale factor of ½ is applied, what would be the algebraic representation for this dilation.
a)
(x, y)--> (2x, 2y)
b)
(x, y)--> (1/2x, 1/2y)
c)
(x, y)--> (x+2, y+2)
d)
(x, y)--> (x-2, y-2)
2.
Triangle ABC is dilated with a scale factor of 1/2. What is the ordered pair for C’?
a)
C’ (2 , 1)
b)
C’ (-2 , 1)
c)
C’ (2 , -1)
d)
C’ (-2 , -1)
3.
Triangle ABC was dilated to create triangle A’B’C’. The table below shows to coordinates of the original triangle and its dilation.
Which algebraic rule represents the dilation?
Which algebraic rule represents the dilation?
a)
(x, y)--> (3x, 3y)
b)
(x, y)--> (6x, 10y)
c)
(x, y)--> (2x, 2y)
d)
(x, y)--> (1/2x, 1/2y)
4.
The best description of a dilation of a figure is ____________________________.
a)
a
mirror image of the figure
b)
an enlargement or a reduction of the
figure
c)
the turning of the figure about some
fixed point
d)
a
slide of the figure
5.
Classify the dilation as an enlargement or reduction.
a)
enlargement
b)
reduction
6.
What is the scale factor?
a)
4/7
b)
7/4
c)
5/3
d)
2/5
7.
9 Rectangle ABCD has vertices A (−1, 2), B (4, 2), C (4, −1), and D (−1, −1). Rectangle ABCD is dilated by a scale factor of 3/4 . Which statement is true?
a)
Rectangle
ABCD and rectangle A′B′C′D′ are congruent.
b)
Rectangle ABCD and
rectangle A′B′C′D′ are similar. Rectangle ABCD is larger than
rectangle A′B′C′D′.
c)
Rectangle ABCD and
rectangle A′B′C′D′ are similar. Rectangle ABCD is smaller than
rectangle A′B′C′D′.
d)
Rectangle ABCD and
rectangle A′B′C′D′ are similar. Rectangle ABCD is the same size
as rectangle A′B′C′D′.
8.
A triangle has a side length of 4 inches and an area of 18 square inches and a larger similar triangle has a corresponding side length of 8 inches. What scale factor was used to dilate the smaller triangle to the larger one?
a)
A Enlargement
by a scale factor of 18
b)
A Reduction
by a scale factor of .25
c)
A Reduction
by a scale factor of 1/2
d)
A Enlargement
by a scale factor of 2
9.
Which of the following are attributes of similar figures.
I Angles are proportional
II Sides are proportional
III Angles are congruent
IV Sides are congruent
I Angles are proportional
II Sides are proportional
III Angles are congruent
IV Sides are congruent
a)
I and II only
b)
II and III only
c)
III only
d)
III and IV
10.
Use the diagram to the right to determine the distance across Catfish Lake. Assume the triangles are similar.
a)
6.75 km
b)
4.1 km
c)
2 km
d)
3 km
100 %
