7.5AC Similarity Practice

Front

What does it mean for two triangles to be similar?

Back

Two triangles are similar if their corresponding angles are congruent and their corresponding sides are in proportion.

Front

What is the Angle-Angle (AA) similarity postulate?

Back

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

Front

What is the Side-Side-Side (SSS) similarity theorem?

Back

If the corresponding sides of two triangles are in proportion, then the triangles are similar.

Front

What is the Side-Angle-Side (SAS) similarity theorem?

Back

If one angle of a triangle is congruent to one angle of another triangle and the sides including these angles are in proportion, then the triangles are similar.

Front

If triangle ABC is similar to triangle JKL, what can we say about their angles?

Back

The corresponding angles of triangle ABC and triangle JKL are congruent.

Front

If triangle DEF is similar to triangle GHJ, what can we say about their sides?

Back

The lengths of the corresponding sides of triangle DEF and triangle GHJ are in proportion.

Front

How do you find the length of a shadow using similar triangles?

Back

Set up a proportion using the height of the object and the length of its shadow compared to the height and shadow of the image.

Front

If a tree is 75 feet tall and casts a 120-foot shadow, what is the ratio of height to shadow length?

Back

The ratio is 75:120, which simplifies to 5:8.

Front

What is the scale factor in similar triangles?

Back

The scale factor is the ratio of the lengths of corresponding sides of two similar triangles.

Front

If triangle RSV has sides of 2 cm, 3 cm, and 4.5 cm, what are the corresponding sides of a similar triangle with a scale factor of 2?

Back

The corresponding sides would be 4 cm, 6 cm, and 9 cm.