Dilations Remediation Assignment

Front

What is a dilation in geometry?

Back

A dilation is a transformation that alters the size of a figure but keeps its shape the same, using a scale factor.

Front

What does the scale factor in a dilation represent?

Back

The scale factor is a number that scales, or multiplies, the dimensions of a figure during a dilation.

Front

How do you determine the coordinates of a point after dilation?

Back

To find the new coordinates after dilation, multiply each coordinate of the original point by the scale factor.

Front

What is the relationship between corresponding angles in similar triangles?

Back

In similar triangles, corresponding angles are congruent (equal in measure).

Front

What is the relationship between corresponding sides in similar triangles?

Back

In similar triangles, the ratios of the lengths of corresponding sides are equal.

Front

If a triangle is dilated with a scale factor of 2, what happens to its area?

Back

The area of the triangle increases by a factor of 2^2 = 4.

Front

What is the formula for dilating a point (x, y) with a scale factor k?

Back

The formula is (kx, ky).

Front

How do you find the height of an object using similar triangles?

Back

Set up a proportion comparing the height of the object to the length of its shadow and the height of a reference object to its shadow.

Front

What is the effect of a dilation with a scale factor less than 1?

Back

A dilation with a scale factor less than 1 reduces the size of the figure.

Front

What does it mean for two triangles to be similar?

Back

Two triangles are similar if their corresponding angles are equal and their corresponding sides are in proportion.