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.
Required
1
In your own words, how would you define "dilation?"
In your own words, how would you define "dilation?"
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1
What is scale factor? How does the scale factor affect the pre-image?
What is scale factor? How does the scale factor affect the pre-image?
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1
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?
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?
Required
1
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?
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?
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1
What is the correct algebraic representation of the dilation shown below?
What is the correct algebraic representation of the dilation shown below?
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1
Using the diagram below, select all of the true statements.
Using the diagram below, select all of the true statements.
1
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'.
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'.
Required
1
Determine if this dilation is an enlargement or a reduction.
Determine if this dilation is an enlargement or a reduction.
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1
What is the scale factor? Input your answer as a fraction.
What is the scale factor? Input your answer as a fraction.
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1
Math the coordinate points to the vertices of the image after a dilation by a scale factor 4.
Math the coordinate points to the vertices of the image after a dilation by a scale factor 4.
| Draggable item | arrow_right_alt | Corresponding Item |
|---|---|---|
(-8, 8) | arrow_right_alt | Q' |
(8, 8) | arrow_right_alt | R' |
(-8, -4) | arrow_right_alt | P' |
(8, -4) | arrow_right_alt | S' |
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1
What are the coordinates of P' when triangle PQR is dilated at the origin by a scale factor of 3?
What are the coordinates of P' when triangle PQR is dilated at the origin by a scale factor of 3?
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1
Triangle BCD is dilated at the origin with the scale factor of 0.25. Graph the image of B'C'D'.
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.