Dilations and Parts of Similar Figures

Front

What is a dilation in geometry?

Back

A dilation is a transformation that alters the size of a figure but maintains its shape, defined by a scale factor.

Tags

CCSS.8.G.A.3

Front

What is the scale factor in a dilation?

Back

The scale factor is the ratio of the length of a side of the image to the length of the corresponding side of the original figure.

Tags

CCSS.8.G.A.3

Front

How do you determine if two triangles are similar?

Back

Two triangles are similar if their corresponding angles are equal and the lengths of their corresponding sides are proportional.

Tags

CCSS.HSG.SRT.A.2

Front

What is the Triangle Proportionality Theorem?

Back

The Triangle Proportionality Theorem states that if a line is drawn parallel to one side of a triangle, it divides the other two sides proportionally.

Tags

CCSS.HSG.SRT.A.2

Front

What is the relationship between similar figures and their areas?

Back

The ratio of the areas of two similar figures is equal to the square of the ratio of their corresponding side lengths.

Front

How do you find the length of a side in similar triangles?

Back

To find the length of a side in similar triangles, set up a proportion using the lengths of corresponding sides.

Tags

CCSS.HSG.SRT.A.2

Front

What is the definition of corresponding sides in similar figures?

Back

Corresponding sides are the sides of two or more similar figures that are in the same relative position.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

What is the significance of the right triangle in application problems?

Back

Right triangles are significant in application problems because they allow the use of the Pythagorean theorem to find unknown lengths.

Tags

CCSS.8.G.B.8

Front

How do you apply the Pythagorean theorem?

Back

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.

Tags

CCSS.8.G.B.7

Front

What is a proportion in mathematics?

Back

A proportion is an equation that states that two ratios are equal.

Tags

CCSS.7.RP.A.2A