Similar Triangles

Front

What are similar triangles?

Back

Triangles that have the same shape but may have different sizes. Their corresponding angles are equal, and their corresponding sides are proportional.

Front

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

Back

It means that the ratios of the lengths of corresponding sides of the figures are equal.

Front

If two triangles have angles measuring 30°, 60°, and 90°, are they similar?

Back

Yes, because they have the same angle measures.

Front

What is the relationship between the sides of similar triangles?

Back

The lengths of corresponding sides are in proportion.

Front

If triangle ABC is similar to triangle DEF, and the length of side AB is 4 cm and side DE is 8 cm, what is the ratio of their sides?

Back

The ratio of their sides is 1:2.

Front

Back

x = 6.

Front

What is the definition of congruent figures?

Back

Figures that are the same shape and size.

Front

If two triangles are similar, what can we say about their areas?

Back

The ratio of their areas is the square of the ratio of their corresponding sides.

Front

Are the triangles with sides 3 cm, 4 cm, and 5 cm similar to triangles with sides 6 cm, 8 cm, and 10 cm?

Back

Yes, they are similar because the sides are in proportion (1:2).

Front

What is the Angle-Angle (AA) criterion for triangle similarity?

Back

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