Similar Triangles

Front

What is the definition of similar triangles?

Back

Similar triangles are triangles that have the same shape but may differ in size. Their corresponding angles are equal, and the lengths of their corresponding sides are proportional.

Front

What does it mean for sides in similar figures to be proportional?

Back

In similar figures, the lengths of corresponding sides are in the same ratio. This means that if one side of a triangle is twice as long as the corresponding side of another triangle, all other corresponding sides will also be twice as long.

Front

What are the criteria for determining if two triangles are similar?

Back

The criteria for triangle similarity are: AA (Angle-Angle), SSS (Side-Side-Side), and SAS (Side-Angle-Side).

Front

What does AA similarity criterion mean?

Back

AA similarity criterion states that if two angles of one triangle are equal to two angles of another triangle, then the triangles are similar.

Front

What does SSS similarity criterion mean?

Back

SSS similarity criterion states that if the lengths of the corresponding sides of two triangles are proportional, then the triangles are similar.

Front

What does SAS similarity criterion mean?

Back

SAS similarity criterion states that if two sides of one triangle are proportional to two sides of another triangle and the included angles are equal, then the triangles are similar.

Front

What is the relationship between the angles of similar triangles?

Back

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

Front

How do you perform a dilation on a point?

Back

To perform a dilation on a point, multiply the coordinates of the point by the scale factor. For example, for point B(4,9) and a scale factor of 2, the new coordinates are (4*2, 9*2) = (8, 18).

Front

If triangle ABC is similar to triangle DEF, what can be said about their corresponding sides?

Back

The lengths of the corresponding sides of triangle ABC and triangle DEF are proportional.

Front

What is the scale factor in similar triangles?

Back

The scale factor is the ratio of the lengths of two corresponding sides of similar triangles. It indicates how much larger or smaller one triangle is compared to the other.