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Dilations about the Origin

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Last updated over 3 years ago
12 questions
Note from the author:
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.
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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.

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'.

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Question 8
8.

Determine if this dilation is an enlargement or a reduction.

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Question 9
9.

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

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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?

Question 10
10.

Math the coordinate points to the vertices of the image after a dilation by a scale factor 4.

Draggable itemarrow_right_altCorresponding Item
(-8, 8)
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Q'
(8, 8)
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R'
(-8, -4)
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P'
(8, -4)
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S'