Observe the given triangles and choose the correct statement.

Determine the scale factor of the following figure.

Find the missing sides.

If the two triangles are similar. Find the value of angle L.

Find the value of x.

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

Find the value of x in the following figure:

In the given figures, ∆ABC ~ ∆DEF, then find the unknown value x.

The figures given below are

If triangles ADE and ABC shown in the figure are similar, what is the value of x?

In similar triangles, the angles are

When the ratio of corresponding sides is proportional, and angle are equal in two figures, then the figures are

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.
• 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).

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).

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:

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).