Flashcard-Lessons 2.6 - 2.8

Front

What does it mean for two figures to be similar?

Back

Two figures are similar if their corresponding sides are proportional and their corresponding angles are equal.

Front

How do you find a point that is a certain fraction of the way along a line segment between two points?

Back

To find a point that is a fraction of the way along a line segment, use the formula: P = (1 - t)A + tB, where A and B are the endpoints and t is the fraction.

Front

What is the formula for finding the midpoint of a line segment with endpoints (x1, y1) and (x2, y2)?

Back

The midpoint M is given by M = ((x1 + x2)/2, (y1 + y2)/2).

Front

What is the relationship between the sides of similar triangles?

Back

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

Front

What is the altitude of a triangle?

Back

The altitude of a triangle is a perpendicular segment from a vertex to the line containing the opposite side.

Front

How do you determine if two triangles are similar using angle-angle (AA) similarity?

Back

Two triangles are similar if two angles of one triangle are congruent to two angles of another triangle.

Front

What is a proportion in mathematics?

Back

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

Front

How can you solve for an unknown in a proportion?

Back

To solve for an unknown in a proportion, cross-multiply and then isolate the variable.

Front

What is the significance of corresponding angles in similar figures?

Back

Corresponding angles in similar figures are equal, which helps establish similarity.

Front

What is the formula for the area of a triangle?

Back

The area A of a triangle is given by A = (1/2) * base * height.