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Geometry: Dilations

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Last updated almost 3 years ago
13 questions
Note from the author:
This Formative engages students in a mini-lesson of dilations. Students begin with a two minute YouTube video embedded into Formative. The second section of the Formative assignment is self-checking with multiple choice, multiple-selection, numerical free response, and graphing questions. This Formative also includes a "Hint" feature to support students.
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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Now that you have a better understanding of non-rigid transformations (i.e. dilations), let's apply our new skills!
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.

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 7
7.

Determine if this dilation is an enlargement or a reduction.

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Question 8
8.

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

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Question 10
10.

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

Question 11
11.

Triangle BCD is dilated at the origin with the scale factor of 0.25. Graph the image of B'C'D'.
(1 pt. for enlargement or reduction; 1 pt. for correctly graphing the image)

  • 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 12
12.

Question 13
13.

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 9
9.

Match 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, -4)
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R'
(8, -4)
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P'
(8, 8)
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S'