12/12: (12) Unit 7- Ratios, Proportions, & Similar Figures

Front

What is a ratio?

Back

A ratio is a comparison of two quantities by division, expressed as a fraction, decimal, or with a colon (e.g., 3:2).

Front

What is a proportion?

Back

Front

How do you determine if two triangles are similar?

Back

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

Front

What is the scale factor in similar figures?

Back

The scale factor is the ratio of the lengths of corresponding sides of two similar figures.

Front

If triangle A has sides of length 6, 8, and 10, and triangle B has sides of length 3, 4, and 5, are they similar?

Back

Yes, triangle A and triangle B are similar because their corresponding sides are in proportion (6:3, 8:4, 10:5).

Front

What does it mean for two lines to be parallel?

Back

Two lines are parallel if they are in the same plane and do not intersect, regardless of how far they are extended.

Front

How can you find the scale factor from triangle B to triangle A if triangle B has sides of length 3, 4, and 5?

Back

Front

What is the relationship between the angles of similar triangles?

Back

The corresponding angles of similar triangles are equal.

Front

If two triangles are similar, how do their areas compare?

Back

The areas of similar triangles are in the ratio of the square of their corresponding side lengths.

Front

What is the formula for finding the area of a triangle?

Back