U3 - Similar Triangles

Front

What is the definition of similar triangles?

Back

Similar triangles are triangles that have the same shape but may differ in size. Their corresponding angles are equal, and the lengths of their corresponding sides are proportional.

Front

What is the AA (Angle-Angle) Postulate?

Back

The AA Postulate states that if two angles of one triangle are equal to two angles of another triangle, then the triangles are similar.

Front

If a triangle has sides of lengths 3, 4, and 5, what type of triangle is it?

Back

It is a right triangle, as it satisfies the Pythagorean theorem (3² + 4² = 5²).

Front

How do you find the height of an object using similar triangles?

Back

You can set up a proportion using the heights and shadow lengths of the objects. For example, if height1/shadow1 = height2/shadow2, you can solve for the unknown height.

Front

What is the SSS (Side-Side-Side) Similarity Criterion?

Back

The SSS Similarity Criterion states that if the corresponding sides of two triangles are in proportion, then the triangles are similar.

Front

What is the SAS (Side-Angle-Side) Similarity Criterion?

Back

The SAS Similarity Criterion states that 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

If a 10 ft tall tree casts a shadow of 5 ft, how tall is a 2.5 ft shadow of a nearby object?

Back

1 ft tall (using the proportion: 10/5 = height/2.5).

Front

What is the relationship between the angles of similar triangles?

Back

The corresponding angles of similar triangles are equal.

Front

If two triangles are similar, what can be said about their perimeters?

Back

The ratios of their perimeters are equal to the ratios of their corresponding sides.

Front

How do you determine if two triangles are similar using their angles?

Back

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