Question
Find the value of x.
- 11
- 66
- 44
- 22
The correct answer is: 11
The lengths of corresponding sides of similar triangles will be in proportion.
So,
5x + 11 = 66
5x = 55
x = 11
1.) Two triangles are similar if their corresponding angles are equal and their corresponding sides are within the same ratio (or proportion). Similar triangles will have the same shape, but not necessarily the same size
If the corresponding angles of two triangles are equal, then the triangles are similar. They are called equiangular triangles
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If the scale factor is 
, the dilation is
Scale factor : Scale Factor is defined as the ratio of the size of the new image to the size of the old image
• If the scale factor is greater than 1, the image is an enlargement. It expands.
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If the scale factor is , the dilation is
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• If the scale factor is greater than 1, the image is an enlargement. It expands.
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• If the scale factor is 1, the figure and the image are the exact same size (congruent).
Find the value of the variable m and n for the following figure that undergoes a dilation.
Scale factor : Scale Factor is defined as the ratio of the size of the new image to the size of the old image
• If the scale factor is greater than 1, the image is an enlargement. It expands.
• If the scale factor is between 0 and 1, the image is a reduction. It contracts.
• If the scale factor is 1, the figure and the image are the exact same size (congruent).
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• If the scale factor is greater than 1, the image is an enlargement. It expands.
• If the scale factor is between 0 and 1, the image is a reduction. It contracts.
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If A (3, 4) is a point on a polygon and R (9, 12) is a point on a dilated image, then what is the scale factor of the dilation?
If A (3, 4) is a point on a polygon and R (9, 12) is a point on a dilated image, then what is the scale factor of the dilation?
Determine the scale factor of the following images:
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• If the scale factor is greater than 1, the image is an enlargement. It expands.
• If the scale factor is between 0 and 1, the image is a reduction. It contracts.
• If the scale factor is 1, the figure and the image are the exact same size (congruent).
Determine the scale factor of the following images:
Scale factor : Scale Factor is defined as the ratio of the size of the new image to the size of the old image
• If the scale factor is greater than 1, the image is an enlargement. It expands.
• If the scale factor is between 0 and 1, the image is a reduction. It contracts.
• If the scale factor is 1, the figure and the image are the exact same size (congruent).
In dilation, if the scale factor is 1, then the original image and the dilated image are
A dilation that creates a larger image is called an enlargement.
dilation that creates a smaller image is called a reduction.
A description of a dilation includes the scale factor (or ratio) and the center of the dilation.
The center of dilation is a fixed point in the plane.
Scale factor : Scale Factor is defined as the ratio of the size of the new image to the size of the old image
• If the scale factor is greater than 1, the image is an enlargement. It expands.
• If the scale factor is between 0 and 1, the image is a reduction. It contracts.
• If the scale factor is 1, the figure and the image are the exact same size (congruent).
In dilation, if the scale factor is 1, then the original image and the dilated image are
A dilation that creates a larger image is called an enlargement.
dilation that creates a smaller image is called a reduction.
A description of a dilation includes the scale factor (or ratio) and the center of the dilation.
The center of dilation is a fixed point in the plane.
Scale factor : Scale Factor is defined as the ratio of the size of the new image to the size of the old image
• If the scale factor is greater than 1, the image is an enlargement. It expands.
• If the scale factor is between 0 and 1, the image is a reduction. It contracts.
• If the scale factor is 1, the figure and the image are the exact same size (congruent).
In dilation, if the scale factor is between 0 and 1, the image
In dilation, if the scale factor is between 0 and 1, the image
In dilation, if the scale factor is greater than 1, the image
A dilation that creates a larger image is called an enlargement.
dilation that creates a smaller image is called a reduction.
A description of a dilation includes the scale factor (or ratio) and the center of the dilation.
The center of dilation is a fixed point in the plane.
Scale factor : Scale Factor is defined as the ratio of the size of the new image to the size of the old image
• If the scale factor is greater than 1, the image is an enlargement. It expands.
• If the scale factor is between 0 and 1, the image is a reduction. It contracts.
• If the scale factor is 1, the figure and the image are the exact same size (congruent).
In dilation, if the scale factor is greater than 1, the image
A dilation that creates a larger image is called an enlargement.
dilation that creates a smaller image is called a reduction.
A description of a dilation includes the scale factor (or ratio) and the center of the dilation.
The center of dilation is a fixed point in the plane.
Scale factor : Scale Factor is defined as the ratio of the size of the new image to the size of the old image
• If the scale factor is greater than 1, the image is an enlargement. It expands.
• If the scale factor is between 0 and 1, the image is a reduction. It contracts.
• If the scale factor is 1, the figure and the image are the exact same size (congruent).
