Font size
WorksheetsDilations Review
Total questions: 80
Worksheet time: 6hrs 59mins
Match the terms with their definitions.
Translation
A transformation that slides a figure.
Rotation
A transformation that turns a figure around a point.
Reflection
A transformation that flips a figure across a line.
Dilation
A transformation that makes a scale copy
Two figures are congruent if they have the _______ shape and _______ size.
Two figures can be similar if they have the _______ shape but _______ size.
What symbol is used to show that two figures are similar?
∼
≅
≡
=
When the scale factor of a dilation is between 0 and 1, the dilation is a reduction (shrinks).
Point B (-10,-6) is dilated with a scale factor of 1/2 and the center of dilation at the origin. What are the coordinated of B'?
Figure DMPN is dilated to form figure D'M'P'N. What is the scale factor?
Triangle ABC is dilated using a scale factor of 1/2. The center of dilation is at the origin. What are the new coordinates of point A'?
The points of Δabc is graphed. The figure is dilated with a scale factor of 2 and the center of dilation at the origin. Plot all the points of Δa′b′c′ after performing the dilation.
The vertices of △ ABC are located at A(4,8), B(8,0), and C(-8,4). Which sequence of transformations of △ ABC results in △ A′′B′′C′′?
Rotate △ ABC 90° clockwise around the origin. Dilate the image by a scale factor of 4 with a center of dilation at the origin.
Rotate △ ABC 90° counterclockwise around the origin. Dilate the image by a scale factor of 4 with a center of dilation at the origin.
Rotate △ ABC 90° clockwise around the origin. Dilate the image by a scale factor of 1/4 with a center of dilation at the origin.
Rotate △ ABC 90° counterclockwise around the origin. Dilate the image by a scale factor of 1/4 with a center of dilation at the origin.
Finish the following similarity statement: Figure DEFGHI ∼ Figure (a)
Figures A, B, C, and D are drawn. The center of dilation is point E. Which of the following figures are similar to figure A? Choose all correct answers.
Figure B
Figure C
Figure D
Triangle EFG is drawn on the coordinate plane. The triangle is dilated by a scale factor of 1/3, with the center of dilation at the origin, to form triangle E'F'G'. Then, triangle E'F'G' is translated 3 units to the right to form triangle E''F''G''. What is the coordinate of E'' ?
(a)
What is the coefficient 2 mean?
original
Jimmy and his sister each bought a plot of rectangular land to build a house. Jimmy's land was 150 ft by 100 ft. His sister's land was 75 ft by 50 ft. What is the scale factor of Jimmy's land compared to his sister's?
1/2 the size
2 times the size
2/3 the size
3 times the size
Which of the following rules represents a dilation?
(x, y) → (x, 3y)
(x, y) → (3x, 3y)
(x, y) → (x - 4, y - 3)
(x, y) → (.5x, .4y)
What angle is corresponding to angle D?
A
B
C
F
If ABCDE is similar to LMNOP, which proportion is NOT true?
If ABCD is similar to EFGH, which proportion is true?
Select ALL the true statements about an image after a dilation.
The image is a different shape than the preimage.
The image is a different size than the preimage.
The image has the same angle measures as the preimage.
The image is similar to the preimage.
The image has the same side lengths as the preimage.
Triangle PQR is the image of triangle JKL after a dilation. Is the dilation an enlargement or a reduction? Explain.
Enlargement, because the image is larger than the original figure.
Enlargement, because the image is smaller than the original figure.
Reduction, because the image is smaller than the original figure.
Reduction, because the image is larger than the original figure.
Rajesh is making pennants in preparation for a school soccer game. He wants the pennants to be similar triangles. Which of these triangles could he use for the pennants?
QRS and TVW
QRS and XYZ
TVW and JKL
TVW and XYZ
Are ABC and DEF similar?
Yes
No
Are ABC and LMN similar?
Yes
No
Are LMN and DEF similar?
Yes
No
Figure D´E´F´G´ is a dilation with center (0, 0) of figure DEFG. What is the scale factor?
(a)
A sequence of transformations is required to map ΔPQR onto ΔP’Q’R’. Which is a possible step?
A dilation with scale factor 1
A dilation with scale factor 2
A dilation with scale factor 3
A dilation with scale factor 4
Find the image of ΔABC after a dilation with center (0, 0) and a scale factor of 3. What is the ordered pair for A'?
(1, 1)
(3, 3)
(5, 5)
(6, 6)
Triangle DEF is similar to triangle ABC. What is a sequence of transformations that maps triangle ABC to triangle DEF?
Reflection then rotation
Rotation then dilation with scale factor of 2
Rotation then dilation with scale factor of 0.5
Rotation then translation
A dilation is which of the following:
only an enlargement
only a reduction
either an enlargement or a reduction
neither an enlargement nor a reduction
A dilation always produces a congruent figure.
True
False
A dilation always produces a similar figure. Similar figures have the same ______ but different ______.
measure; shapes
sizes; shapes
value; measures
shape; sizes
Did the image enlarge, reduce or none of the above?
Enlarge
Reduce
None of the above
Does the image show a Dilation? If yes, did the image enlarge, reduce or none of the above?
Yes, enlarge
Yes, reduce
No
Under a dilation, which scale factor will result in a congruent image?
-2
0
1
1/2
An image is dilated at a scale factor of 1.5. This means the dilation is an enlargement and the dilated image will be bigger.
True
False
Which of the following is the algebraic representation for a dilation? (a)
In this figure, triangle TRS is the (a) , triangle T'R'S' is the (b) and a(n) (c) occurred.
Quadrilateral NDPM was dilated to quadrilateral N'D'P'M'. What was the scale factor for this dilation?
Type in a whole number, decimal or fraction.
