Similar Triangles

Front

What does it mean for two shapes to be similar?

Back

Same shape, but different size.

Front

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

Back

Their corresponding angles are equal.

Front

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

Back

Their corresponding sides are in proportion.

Front

What is the relationship between the angles of similar triangles?

Back

The sum of the angles in each triangle is 180 degrees.

Front

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

Back

1:2.

Front

If m∠A = 30° in triangle ABC and triangle DEF is similar to triangle ABC, what is m∠D?

Back

30°.

Front

Are the triangles with angles 30°, 60°, and 90° similar to triangles with angles 60°, 30°, and 90°?

Back

Yes, they are similar.

Front

If two triangles have a scale factor of 3:5, what does this mean?

Back

For every 3 units in one triangle, there are 5 units in the other triangle.

Front

If triangle XYZ is similar to triangle PQR, and XY = 6 cm, what is the length of PQ if the scale factor is 2:3?

Back

PQ = 9 cm.

Front

What is the scale factor if triangle ABC is similar to triangle DEF and the lengths of sides are 4 cm and 8 cm respectively?

Back

1:2.