RETEST Unit 4B Triangle Similarity

Front

What is the definition of similar triangles?

Back

Triangles are similar if their corresponding angles are equal and their corresponding sides are in proportion.

Front

What is the Scale Factor in triangle similarity?

Back

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

Front

If triangle ABC is similar to triangle DEF, and AB = 4, DE = 8, what is the scale factor?

Back

The scale factor is 2 (8/4).

Front

What does the Angle-Angle (AA) similarity criterion state?

Back

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

Front

What does the Side-Side-Side (SSS) similarity criterion state?

Back

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

Front

What does the Side-Angle-Side (SAS) similarity criterion state?

Back

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

Front

How do you determine if two triangles are similar using proportions?

Back

Set up a proportion using the lengths of corresponding sides and check if the ratios are equal.

Front

If triangle KJL has sides 6, 9, and 12, and triangle RSQ has sides 4, 6, and 8, are they similar?

Back

Yes, they are similar because the ratios of corresponding sides are equal (2:3).

Front

What is the formula for finding the height of an object using similar triangles?

Back

Height = (Distance to object) * (Height of object in mirror) / (Distance to mirror).

Front

If triangle ABC is similar to triangle XYZ, and AB = 5, BC = 10, and XY = 15, what is the length of XZ?

Back

XZ = 10 (using the scale factor of 3/2).