Similar Triangles Corresponding Parts

Front

What is the Angle-Angle (AA) Similarity Postulate?

Back

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

Front

If ΔABC ∼ ΔDEF, what can we conclude about their corresponding angles?

Back

∠A ≅ ∠D, ∠B ≅ ∠E, ∠C ≅ ∠F.

Front

What does it mean for two triangles to be similar?

Back

Two triangles are similar if they have the same shape but not necessarily the same size.

Front

If the scale factor of a triangle is 2, what happens to the size of the triangle?

Back

The triangle is enlarged.

Front

What is the relationship between corresponding sides of similar triangles?

Back

The ratios of the lengths of corresponding sides are equal.

Front

If ΔXYZ ∼ ΔPQR and XY = 4 cm, what is the corresponding side in ΔPQR if the scale factor is 3?

Back

The corresponding side in ΔPQR is 12 cm.

Front

What is the definition of corresponding parts in similar triangles?

Back

Corresponding parts are angles and sides that are in the same relative position in similar triangles.

Front

If ΔABC ∼ ΔDEF and AB = 5 cm, DE = 10 cm, what is the scale factor?

Back

The scale factor is 2.

Front

What can we conclude if two triangles are congruent?

Back

If two triangles are congruent, they are also similar.

Front

If the angles of triangle A measure 30°, 60°, and 90°, what are the angles of a similar triangle B?

Back

Triangle B will also have angles measuring 30°, 60°, and 90°.