Q2 W7 IA (Triangle Similarity)

Front

What is the AA similarity criterion for triangles?

Back

The AA (Angle-Angle) similarity criterion states that if two angles of one triangle are congruent to two angles of another triangle, then the two triangles are similar.

Front

What does SSS stand for in triangle similarity?

Back

SSS stands for Side-Side-Side. It is a similarity criterion that states if the corresponding sides of two triangles are in proportion, then the triangles are similar.

Front

What does SAS stand for in triangle similarity?

Back

SAS stands for Side-Angle-Side. It is a similarity criterion that states if two sides of one triangle are proportional to two sides of another triangle and the included angles are congruent, then the triangles are similar.

Front

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

Back

The corresponding angles of similar triangles are congruent.

Front

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

Back

The corresponding sides of similar triangles are proportional.

Front

True or False: All angles in similar figures are congruent.

Back

True

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 sides.

Front

How can you prove that two triangles are similar using the AA criterion?

Back

To prove similarity using the AA criterion, show that two angles of one triangle are congruent to two angles of another triangle.

Front

What is the significance of proportional sides in similar triangles?

Back

Proportional sides indicate that the triangles are similar, allowing for the use of ratios to solve problems involving the triangles.

Front

Can two triangles be similar if only one pair of angles is congruent?

Back

No, two triangles cannot be similar with only one pair of angles congruent; at least two pairs of angles must be congruent.