Unit 6 Flashcardizz - SOL G.7 - Similar Triangles

Front

What are similar triangles?

Back

Triangles that have the same shape but may have different sizes. Their corresponding angles are equal, and their corresponding sides are in proportion.

Front

What is the AA Similarity Postulate?

Back

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

Front

What is the SSS Similarity Theorem?

Back

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

Front

What is the SAS Similarity Theorem?

Back

If two sides of one triangle are in proportion to two sides of another triangle and the included angles are equal, then the triangles are similar.

Front

How do you find the height of a building using similar triangles?

Back

Set up a proportion using the heights and shadows of the objects involved. For example, if a 10 m pole casts an 8 m shadow and a building casts a 14 m shadow, use the proportion: (height of pole)/(shadow of pole) = (height of building)/(shadow of building).

Front

If a triangle has angles measuring 30°, 60°, and 90°, what can you say about its similarity to another triangle with the same angles?

Back

The triangles are similar by the AA Similarity Postulate.

Front

What is the relationship between the sides of similar triangles?

Back

The ratios of the lengths of corresponding sides of similar triangles are equal.

Front

If triangle ABC is similar to triangle DEF, and the length of side AB is 6 cm and side DE is 9 cm, what is the ratio of their sides?

Back

The ratio of their sides is 6:9 or 2:3.

Front

How do you determine if two triangles are not similar?

Back

If the corresponding angles are not equal or the ratios of the corresponding sides are not equal, then the triangles are not similar.

Front

What is the formula to find the length of a shadow using similar triangles?

Back

If h1 is the height of the object and s1 is the length of its shadow, and h2 is the height of another object with shadow s2, then h1/s1 = h2/s2.