similar triangles

Front

What does it mean for two shapes to be similar?

Back

Same shape, but different size.

Front

What is the AA criterion for triangle similarity?

Back

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

Front

What is the SAS criterion for triangle similarity?

Back

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

Front

What is the SSS criterion for triangle similarity?

Back

If the sides of one triangle are in proportion to the sides of another triangle, the triangles are similar.

Front

How can you determine if two triangles are similar using angle measures?

Back

If two angles of one triangle are equal to two angles of another triangle, the triangles are similar (AA criterion).

Front

What is the relationship between the sides of similar triangles?

Back

The ratios of the lengths of corresponding sides of similar triangles are equal.

Front

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

Back

Angle A = Angle D, Angle B = Angle E, Angle C = Angle F.

Front

If the sides of triangle XYZ are 3, 4, and 5, and triangle PQR is similar to it with a side of 6, what is the length of the corresponding side in triangle PQR?

Back

The corresponding side in triangle PQR is 8.

Front

What does it mean if two triangles are not similar?

Back

They do not have the same shape, and their corresponding angles are not equal.

Front

How can you use the concept of similar triangles in real life?

Back

Similar triangles can be used in architecture, engineering, and art to create proportional designs.