Triangle similarity & Right Triangles/Trig

Front

What is the definition of 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 hypotenuse in a right triangle?

Back

The longest side of a right triangle, opposite the right angle.

Front

How do you find the perimeter of a triangle?

Back

Add the lengths of all three sides together.

Front

What is the Pythagorean theorem?

Back

In a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b): a² + b² = c².

Front

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

Back

The lengths of their corresponding sides are proportional.

Front

What is a leg in a right triangle?

Back

One of the two shorter sides that form the right angle.

Front

How do you solve for a missing side in similar triangles?

Back

Set up a proportion using the lengths of the corresponding sides of the triangles.

Front

What is the relationship between the angles of similar triangles?

Back

All corresponding angles are equal.

Front

What is the formula for the area of a triangle?

Back

Area = 1/2 * base * height.

Front

How do you determine if two triangles are similar?

Back

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