Topic 7 - Similar Triangles

Front

What does it mean for two shapes to be similar?

Back

Same shape, but different size.

Front

A triangle's angles add up to...

Back

180 Degrees

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 scale factor in similar triangles?

Back

The ratio of the lengths of corresponding sides.

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 scale factor?

Back

2:1.

Front

If the scale factor of two similar triangles is 3:2, and the length of a side in the smaller triangle is 10 cm, what is the length of the corresponding side in the larger triangle?

Back

15 cm.

Front

What is the relationship between the areas of two similar triangles with a scale factor of a:b?

Back

The ratio of their areas is a²:b².

Front

If triangle XYZ is similar to triangle PQR and the area of triangle XYZ is 50 cm², what is the area of triangle PQR if the scale factor is 2:1?

Back

200 cm².

Front

What is the definition of congruent triangles?

Back

Triangles that are the same size and shape.