Dilations about the Origin

Last updated over 3 years ago

12 questions

Note from the author:

Instructions

Required

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Library

Dilations about the Origin

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

Instructions

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

00:00/00:00

Question 1

00:38

Question 2

01:14

Question 3

02:06

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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?

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1

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.

1

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1

Determine if this dilation is an enlargement or a reduction.

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1

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Draggable item		Corresponding Item

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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?

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

Instructions

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.

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

00:00/00:00

Question 1

00:38

Question 2

01:14

Question 3

02:06

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?

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

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

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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1

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.

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1

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

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

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

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

Instructions

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.

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

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

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

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'

0

3

4

Dilations about the Origin

Dilations about the Origin

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?

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

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

Determine if this dilation is an enlargement or a reduction.

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

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

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?

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

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

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'.

Determine if this dilation is an enlargement or a reduction.

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.

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

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

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

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

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?

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

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'.