Triangle similarity and proportions

Front

What is the definition of similar triangles?

Back

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

Front

If two triangles are similar, what can be said about their corresponding angles?

Back

The corresponding angles of similar triangles are congruent.

Front

What is the Side-Angle-Side (SAS) similarity criterion?

Back

If one angle of a triangle is equal to one angle of another triangle and the sides including these angles are in proportion, then the triangles are similar.

Front

What is the Angle-Angle (AA) similarity criterion?

Back

If two angles of one triangle are equal to two angles of another triangle, then the triangles are similar.

Front

What is the definition of proportional sides in similar triangles?

Back

The sides of similar triangles are proportional, meaning the ratio of the lengths of corresponding sides is constant.

Front

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

Back

You can use the properties of similar triangles to set up a proportion based on the height of the object and the distance from the observer.

Front

What is the relationship between the areas of two similar triangles?

Back

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

Front

What is the definition of vertical angles?

Back

Vertical angles are the angles opposite each other when two lines intersect; they are always congruent.

Front

What is the definition of corresponding angles?

Back

Corresponding angles are angles that are in the same position at each intersection where a straight line crosses two others.

Front

What is the definition of a translation in geometry?

Back

A translation is a geometric transformation that moves every point of a figure the same distance in the same direction.