Segment YZ measures 3 units.
What is the length, in units, of the image of segment YZ after a dilation using a scale factor of 2?
6 units
Definition: The figure before a dilation has occurred.
A. Pre-image
B. Image
C. Translation
D. Reflection
A. Pre-image
The coordinates for point A are (0,5). After using a scale factor of 2, what would the new coordinates be for A'?
A': (0,10)
What is the scale factor?
A. 1
B. 3
C. 1/3
D. 8
B. 3
True or False.
The following triangles are similar.
True
Segment YZ measures 2 units. What is the length, in units, of the image of segment YZ after a dilation using a scale factor of 1/3?
2/3 units or .66 units
In a dilation, what mathematical operation is used with the scale factor?
A. addition
B. subtraction
C. multiplication
D. division
C. multiplication
Point C's coordinates on the triangle ABC are (4,2). If we want the new coordinates for Point C to be (8,4), what would the scale factor have to be?
2
The point (2, 5) was dilated to become point (8,20). What was the scale factor?
A. 2
B. 5
C. 1/2
D. 4
D. 4
The point (2, 3) was dilated to become point (4, 6). What was the scale factor?
Scale factor: 2
Segment YZ measures 5 units.
What is the length, in units, of the image of segment YZ after a dilation using a scale factor of 2?
10 units
When A(5,25) is under a dilation of 2 what are the coordinates of A'?
A'(10,50)
Point B's original coordinates are (3,5). If we want to dilate the triangle that point B belongs to by a scale factor of 2, what is Point B's new coordinates?
(6,10)
If the scale factor is 4, what is x?
20
Triangle ABC will be dilated by a scale factor of 1/2. What will be the coordinates of C'?
(3,-1.5)
True or false.
A dilation creates a similar figure.
Determine if the statement below is true or false:
A dilation always produces a congruent figure.
A. True
B. False
B. False
Triangle PQR is similar to triangle LMN.
Determine the length, in centimeters, of segment LM.
Segment LM: 22cm
The point (8, 12) was dilated to become point (2, 3). What was the scale factor?
A. ½
B. ¼
C. 4
D. 2
B. 1/4
What is the measure of x?
A. 6
B. 33
C. 24
D. 36
D. 36
Select all true statements.
A. Dilations always increase the length of line segments.
B. When a figure is dilated, the image has the same corresponding angle measures of the original figure.
C. When a figure is dilated, the angle measures in the image are greater than the corresponding angle measures of the original figure.
D. Dilations of a figure are always congruent to the original figure.
E. Dilations of a figure are similar to the original figure.
B and E
Dilate the figure by a scale factor of 3 with the origin as the center of dilation. What are the coordinates of the image?
A(3,3) B(6,6) C(9,3)
A. A'(9,9) B'(18,18) C'(27,9)
B. A'(6,6) B'(9,9) C'(12,6)
C. A'(0,0) B'(3,3) C'(6,0)
D. A'(1,1) B'(2,2) C'(3,1)
A. A'(9,9) B'(18,18) C'(27,9)
Triangle ABC is similar to DEF. Determine the length, in units of segment DE.
Segment DE: 20
If the scale factor is 4, what is the measurement of x?
24m
What is the figure after a transformation has occurred?
A. Pre-image
B. Image
C. Translation
D. Reflection
B. Image