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Dilations about the Origin

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Last updated over 3 years ago
12 questions
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Introduction to Dilations about the Origin: Scale Factor, Enlargement/Reduction, Graphing Pre-Image & Image
Watch the short video lesson introducing Dilations. Then answer the following questions to check your understanding.
Question 1 | 00:38
Question 2 | 01:14
Question 3 | 02:06
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Question 1
00:38
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Question 2
01:14
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Question 3
02:06
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Question 4
4.

Triangle ABC has the coordinates in the table below. Where will the location of A' be after a dilation using a scale factor of 1.25?

Question 5
5.

What is the correct algebraic representation of the dilation shown below?

Question 6
6.

Using the diagram below, select all of the true statements.


Question 7
7.

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Question 8
8.

Determine if this dilation is an enlargement or a reduction.

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Question 10
10.

Draggable itemarrow_right_altCorresponding Item
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Question 11
11.

What are the coordinates of P' when triangle PQR is dilated at the origin by a scale factor of 3?

Question 12
12.

Triangle BCD is dilated at the origin with the scale factor of 0.25. Graph the image of B'C'D'.

  • Click the graph tab.
  • Click on the graph background to add a point. Drag a point or type in x and y coordinates to edit its position. Click on a point to delete it.
Question 1
1.

In your own words, how would you define "dilation?"

Question 2
2.

What is scale factor? How does the scale factor affect the pre-image?

Question 3
3.

The pre-image has a coordinate point of A(0, 4) and B (3,4). The image has coordinate points of A'(0, 12) and B'(9, 12). What is the scale factor?

(-15, -8)
(-15, -10)
N'P' will be parallel to NP, but they will not be the same line
M'Q' will be teh same line as MQ
Select all of the true statements based on the diagram below.

Quadrilateral PQRS is shown on the graph below. PQRS was dilated by a scale factor of 0.5 centered at point R to create P'Q'R'S'.

PQ || P'Q'
PQ = 0.5(P'Q')
R'S' overlaps RS
P'S' overlaps PS
The perimeter of P'Q'R'S' is 1/2 the perimeter of PQRS
Question 9
9.

What is the scale factor? Input your answer as a fraction.

Math the coordinate points to the vertices of the image after a dilation by a scale factor 4.
(-8, 8)
Q'
(8, 8)
R'
(-8, -4)
P'
(8, -4)
S'

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