Similar Triangles

Front

What does it mean for two shapes to be similar?

Back

Same shape, but different size.

Front

Are the triangles similar if their corresponding angles are equal?

Back

Yes, triangles are similar if their corresponding angles are equal.

Front

Back

h=50

Front

Are the triangles similar if one triangle has a larger size but the same angles as another?

Back

Yes, they are similar.

Front

What is the ratio of the sides of two similar triangles?

Back

The ratio of the sides is equal to the ratio of their corresponding lengths.

Front

If triangle A has sides 3, 4, 5 and triangle B has sides 6, 8, 10, are they similar?

Back

Yes, they are similar because the sides are in proportion.

Front

What is the criterion for triangle similarity based on side lengths?

Back

If the ratios of the lengths of corresponding sides are equal, the triangles are similar.

Front

If two triangles have a side length ratio of 1:2, what can be said about their areas?

Back

The area ratio will be 1:4.

Front

Are the triangles similar if one triangle is a scaled version of the other?

Back

Yes, they are similar.

Front

What is the relationship between the angles of similar triangles?

Back

The corresponding angles of similar triangles are equal.