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Worksheets8.G.A.3 (Dilations) Review
Total questions: 28
Worksheet time: 7hrs 0mins
A dilation is which of the following:
an enlargement only
a reduction only
either an enlargement or reduction
neither an enlargement or reduction
A dilation always produces a congruent figure.
True
False
A dilation always produces a similar figure.
True
False
Dilations produce similar figures. Similar figures have the same _____ and proportional _____.
measures; shapes
sizes; shapes
angles; side lengths
side lengths; angles
What is the scale factor of the dilation shown?
1/2
1
2
3/2
What is the scale factor of the dilation shown?
1
7
18
49
What is the scale factor of the dilation shown?
2
-2
1/2
1
What is the scale factor of the dilation shown?
1
1.5
2
2.5
Suppose a triangle with the vertices (-1,4) (-1, -2) and (2, -2) were dilated, with the center of dilation at the origin and with a scale factor of 2. Which of these would be a vertex of the dilated figure?
(-1, -4)
(-1, 4)
(4, -4)
(4, -2)
Look at △STU on this coordinate grid.
Suppose that △S'T'U' is the result of a dilation of △STU with center T and scale factor 2. What are the coordinates of point S'
(0,−3)
(4,2)
(3,4)
(6,9)
Figure Q' is the result of a dilation of figure Q, as shown. What was the scale factor of the dilation?
1/2
2/3
3/2
2
On the coordinate plane below, square ABCD is dilated by a factor of 2, with the origin as the center of dilation, to form A'B'C'D'.
(4, -5)
(-5, 4)
(4, -6)
(-6, 4)
The coordinate plane below shows how quadrilateral GHIJ was dilated by a factor of 2 to form G'H'I'J'.
(1,–1)
(–1,1)
(1,2)
(0,0)
The coordinate plane below shows the location of triangle TUV. Triangle TUV is to be dilated by a factor of 2, with the point (-1, 0) as the center of dilation. After the dilation, what is the location of vertex V?
(5, 0)
(0, 5)
(0, 4)
(4, 0)
On the coordinate plane below, square ABCD is dilated by a factor of 2, with the origin as the center of dilation, to form A'B'C'D'.
After the dilation, what is the location of C'?
(4, -5)
(-5, 4)
(4, -6)
(-6, 4)
A rectangle with coordinates A(1, 1), B(5, 1), C(5, 6), and D(1, 6) undergoes a dilation centered at the origin to create rectangle A'B'C'D'.
If the length of segment A'B' is 12 units, what is the scale factor of the dilation?
2
3
1
4
Under a dilation, triangle ABC with coordinates A(–12, –8), B(2, 14), C(6, –6) becomes triangle A’B’C’ with coordinates A’(–18, –12), B’(3, 21), C’(9, –9).
What is the scale factor of this dilation?
6
2
1.5
2.5
Quadrilateral ABCD shown in the coordinate plane below is dilated with the center at the origin to form quadrilateral EFGH.
What is the scale factor of the dilation?
1/4
1/3
3
4
Dilate the figure by a scale factor of 3 with the origin as the center of dilation. What are the coordinates of the image?
A(3,3) B(6,6) C(9,3)
A'(9,9) B'(18,18) C'(27,9)
A'(6,6) B'(9,9) C'(12,6)
A'(0,0) B'(3,3) C'(6,0)
A'(1,1) B'(2,2) C'(3,1)
If a line segment has a length of 12 units and after a dilation the image length is 4 units, what was the scale factor?
3
1/3
8
16
The red triangle has been dilated by a scale factor of 1/4 about the origin, which triangle is it's new image?
Red Triangle
Black Triangle
Green Triangle
None of the above
If triangle UVW gets dilated with a scale factor of 3 centered at point P, what will be the new coordinates of W'?
(-3, 0)
(0, -3)
(-6, 2)
(2, -6)
If triangle ABC gets dilated with a scale factor of two and center P, what will the new coordinates of B' be?
(2, 7)
(7,2)
(1, 0)
(0, 1)
Under a dilation, triangle ABC with coordinates A(–12, –8), B(2, 14), C(6, –6) becomes triangle A’B’C’ with coordinates A’(–18, –12), B’(3, 21), C’(9, –9).
What is the scale factor of this dilation?
6
2
1.5
2.5
A rectangle with coordinates A(1, 1), B(5, 1), C(5, 6), and D(1, 6) undergoes a dilation centered at the origin to create rectangle A'B'C'D'.
If the length of segment A'B' is 12 units, what is the scale factor of the dilation?
2
3
1
4
The coordinate plane below shows the location of triangle TUV. Triangle TUV is to be dilated by a factor of 2, with the point (-1, 0) as the center of dilation. After the dilation, what is the location of vertex V?
(5, 0)
(0, 5)
(0, 4)
(4, 0)
A scale factor of less than one means
that the image will be larger than the pre-image.
That the image will be the same as the preimage.
That you need to subtract that amount off of each side.
That the image will be a reduction of the preimage.
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 of 2.
B' (2 , 4.5)
B' (-8 ,-18)
B' (8 ,18)
B' (9 ,4)
