Similar Triangles - Indirect Measurement

Front

Are the triangles similar?

Back

Yes, triangles are similar if they have the same shape but not necessarily the same size.

Front

Two objects that are the same shape but not the same size are _______.

Back

Similar

Front

Find the height of the building: If a 6ft person casts a 2ft shadow, how tall is a building that casts a 36ft shadow?

Back

108ft

Front

Find the height of the flagpole: If a 5ft person casts a 1.5ft shadow, how tall is a flagpole that casts a 7.5ft shadow?

Back

15ft

Front

Sides in similar figures must be proportional. True or False?

Back

True

Front

What is the definition of similar triangles?

Back

Similar triangles are triangles that have the same shape, meaning their corresponding angles are equal and their corresponding sides are in proportion.

Front

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

Back

1:2

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 indirect measurement method used for?

Back

Indirect measurement is used to find the height or distance of an object that is difficult to measure directly, using similar triangles.

Front

If a tree casts a shadow of 20ft and a 5ft person casts a shadow of 2ft, how tall is the tree?

Back

50ft