Chapter 3 Review #3

Front

Can the sides of a triangle have lengths 3, 4, and 9?

Back

No, the sum of the lengths of any two sides must be greater than the length of the third side.

Front

Similar figures have the same ______ but different ______.

Back

shape; sizes

Front

Do the segment lengths 15, 12, and 9 form a right triangle?

Back

Yes, they satisfy the Pythagorean theorem: 15^2 = 12^2 + 9^2.

Front

What is the distance formula between points A(2,0) and B(-2,4)?

Back

Front

If the triangles are similar, state how.

Back

SAS (Side-Angle-Side) similarity criterion.

Front

What is the Pythagorean theorem?

Back

Front

What does SSS stand for in triangle similarity?

Back

SSS stands for Side-Side-Side, indicating that if the corresponding sides of two triangles are proportional, the triangles are similar.

Front

What is the definition of similar triangles?

Back

Triangles that have the same shape but not necessarily the same size; their corresponding angles are equal and their corresponding sides are proportional.

Front

What is the formula for the area of a triangle?

Back

Front

What is the relationship between the angles of similar triangles?

Back

The corresponding angles of similar triangles are equal.