Similar Triangles

Front

What does it mean for two shapes to be similar?

Back

Same shape, but different size.

Front

Are the sides in similar figures proportional?

Back

True

Front

Are all angles in similar figures congruent?

Back

True

Front

What is the relationship between the angles of similar triangles?

Back

The corresponding angles are equal.

Front

If triangle ABC is similar to triangle DEF, what can we say about their sides?

Back

The ratios of the lengths of corresponding sides are equal.

Front

What is the scale factor in similar triangles?

Back

The ratio of the lengths of corresponding sides.

Front

If two triangles have a scale factor of 2, what does that mean?

Back

The sides of the second triangle are twice the length of the corresponding sides of the first triangle.

Front

Can two triangles be similar if one is a right triangle and the other is not?

Back

No, they must have the same angle measures.

Front

What is the criteria for triangle similarity?

Back

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

Front

If triangle XYZ is similar to triangle PQR, and the length of XY is 4 cm and PQ is 8 cm, what is the scale factor?

Back

The scale factor is 1:2.