Dilations and Scale Factors Test

Last updated 8 months ago

17 questions

Instructions

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Dilations and Scale Factors Test

Last updated 8 months ago

17 questions

Instructions

This test assesses understanding and application of dilations and scale factors, focusing on figures with 3, 4, and 5 vertices. Students will work with coordinates and graphs.

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Draggable item		Corresponding Item

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Draggable item		Corresponding Item

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This test assesses understanding and application of dilations and scale factors, focusing on figures with 3, 4, and 5 vertices. Students will work with coordinates and graphs.

Point K(0,7) is dilated by scale factor 1.5 about the origin. What are the coordinates of K'?

(0,14)

(0,8.5)

(7,10.5)

(0,10.5)

Match each original figure to its dilated coordinates with a scale factor of 3.

Draggable item		Corresponding Item
		Triangle: A(1,1), B(2,2), C(3,3)
Triangle: A(1,1), B(2,2), C(3,3)

Dilate triangle G(-3,-1), H(-1,-1), J(-2,2) from the origin by factor 4. Select all points that could be images.

(-8,8)

(-12,-4)

(-6,4)

(-4,-4)

What is the image of (3,0) after origin-centered dilation by 4?

(3,0)

(0,3)

(12,0)

(0,12)

Triangle M(2,-4),N(6,2),O(-2,0) dilates to M'(1,-2),N'(3,1),O'(-1,0). Scale factor?

2

0.5

1/4

-0.5

True or False: A dilation with a scale factor greater than 1 will always enlarge the figure.

True

False

Select all correct coordinates for dilated points if the original triangle with A(1, 2), B(3, 2), C(2, 4) is scaled by a factor of 2.

Dilate quadrilateral A(-2,1), B(1,1), C(2,3), D(-1,3) from the origin by factor 0.5. Choose all correct images.

(1,1.5)

(0.5,0.5)

(-2,6)

(-1,0.5)

After dilating ΔABC with vertices A(3,3), B(6,9), C(12,18) by scale factor 2/3 about the origin, what are the coordinates of C'?

(8,12)

(6,9)

(24,36)

(18,27)

Given a pentagon with vertices A(2, 2), B(4, 4), C(6, 6), D(8, 8), E(10, 10) dilated by a scale factor of 0.5, what is the coordinate of A'?

(1, 1)

(2, 2)

(4, 4)

(0, 0)

Pentagon A(2,2), B(4,4), C(6,6), D(8,8), E(10,10) is dilated by 5/4. What is A'?

(2,2)

(2.5,2.5)

(1.6,1.6)

(4,4)

Match each original figure to its dilated coordinates with a scale factor of 2.

Draggable item		Corresponding Item
		A'(4,4), B'(8,8), C'(12,12)

Triangle: A(2,2), B(4,4), C(6,6)

Triangle PQR goes from P(-3,1), Q(0,4), R(-6,7) to P'(-1,1/3), Q'(0,4/3), R'(-2,7/3). Find the scale factor.

1/3

-1/3

1

3

A triangle with vertices (3, 6), (9, 12), (15, 18) is transformed to a triangle with vertices (12, 24), (36, 48), (60, 72). What is the scale factor?

4

5

6

7

Quadrilateral S(-4,2), T(0,6), U(4,2), V(0,-2) is dilated by scale factor 0.25. What is T'?

(0,4.5)

(0,1.5)

(0,24)

(0,5.75)

Scale triangle P(1,3), Q(4,3), R(2,6) from the origin by factor 3. Select all image points.

(3,9)

(12,9)

(8,6)

(4,6)

Triangle with P(2,3), Q(4,1), R(-2,5) is dilated by scale factor 3/2. What are the coordinates of P'?

(3,4.5)

(1,1.5)

(1.33,2)

(5,6)

Point K(0,7) is dilated by scale factor 1.5 about the origin. What are the coordinates of K'?

(0,14)

(0,8.5)

(7,10.5)

(0,10.5)

Match each original figure to its dilated coordinates with a scale factor of 3.

Triangle: A(1,1), B(2,2), C(3,3)

Triangle: A(1,1), B(2,2), C(3,3)

Dilate triangle G(-3,-1), H(-1,-1), J(-2,2) from the origin by factor 4. Select all points that could be images.

(-8,8)

(-12,-4)

(-6,4)

(-4,-4)

What is the image of (3,0) after origin-centered dilation by 4?

(3,0)

(0,3)

(12,0)

(0,12)

Triangle M(2,-4),N(6,2),O(-2,0) dilates to M'(1,-2),N'(3,1),O'(-1,0). Scale factor?

2

0.5

1/4

-0.5

True or False: A dilation with a scale factor greater than 1 will always enlarge the figure.

True

False

Select all correct coordinates for dilated points if the original triangle with A(1, 2), B(3, 2), C(2, 4) is scaled by a factor of 2.

A'(2, 4)

B'(6, 4)

C'(4, 8)

A'(2, 2)

B'(3, 1)

Dilate quadrilateral A(-2,1), B(1,1), C(2,3), D(-1,3) from the origin by factor 0.5. Choose all correct images.

(1,1.5)

(0.5,0.5)

(-2,6)

(-1,0.5)

After dilating ΔABC with vertices A(3,3), B(6,9), C(12,18) by scale factor 2/3 about the origin, what are the coordinates of C'?

(8,12)

(6,9)

(24,36)

(18,27)

Given a pentagon with vertices A(2, 2), B(4, 4), C(6, 6), D(8, 8), E(10, 10) dilated by a scale factor of 0.5, what is the coordinate of A'?

(1, 1)

(2, 2)

(4, 4)

(0, 0)

Pentagon A(2,2), B(4,4), C(6,6), D(8,8), E(10,10) is dilated by 5/4. What is A'?

(2,2)

(2.5,2.5)

(1.6,1.6)

(4,4)

Match each original figure to its dilated coordinates with a scale factor of 2.

A'(4,4), B'(8,8), C'(12,12)

Triangle: A(2,2), B(4,4), C(6,6)

Triangle PQR goes from P(-3,1), Q(0,4), R(-6,7) to P'(-1,1/3), Q'(0,4/3), R'(-2,7/3). Find the scale factor.

1/3

-1/3

1

3

A triangle with vertices (3, 6), (9, 12), (15, 18) is transformed to a triangle with vertices (12, 24), (36, 48), (60, 72). What is the scale factor?

4

5

6

7

Quadrilateral S(-4,2), T(0,6), U(4,2), V(0,-2) is dilated by scale factor 0.25. What is T'?

(0,4.5)

(0,1.5)

(0,24)

(0,5.75)

Scale triangle P(1,3), Q(4,3), R(2,6) from the origin by factor 3. Select all image points.

(3,9)

(12,9)

(8,6)

(4,6)

Triangle with P(2,3), Q(4,1), R(-2,5) is dilated by scale factor 3/2. What are the coordinates of P'?

(3,4.5)

(1,1.5)

(1.33,2)

(5,6)