Dilations and Scale Factors Test - Stacy Mehaffy | Library

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.

Required

1

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)

1

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)

1

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)

Required

1

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

(3,0)

(0,3)

(12,0)

(0,12)

1

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

Required

1

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

True

False

Required

1

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.

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)

1

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)

Required

1

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)

1

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)

Required

1

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)

Required

1

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

Required

1

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

1

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)

1

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)

1

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)