Chp 4 OPTIONAL Extra Credit

Front

What is the Exterior Angle Theorem?

Back

The Exterior Angle Theorem states that the measure of an exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles.

Front

How do you find the value of x using the Exterior Angle Theorem?

Back

To find x, set the exterior angle equal to the sum of the two opposite interior angles and solve for x.

Front

What is the congruence statement for triangles?

Back

A congruence statement indicates that two triangles are congruent, meaning they have the same size and shape. It is written in the form of triangle ABC ≅ triangle DEF.

Front

What does it mean for angles to be congruent?

Back

Two angles are congruent if they have the same measure.

Front

If ∠A ≅ ∠M, what can we conclude?

Back

We can conclude that the measure of angle A is equal to the measure of angle M.

Front

What is the sum of the interior angles of a triangle?

Back

The sum of the interior angles of a triangle is always 180 degrees.

Front

How do you solve for x in a triangle?

Back

To solve for x, use the properties of triangles, such as the sum of angles or the Exterior Angle Theorem, and set up an equation.

Front

What is a triangle's exterior angle?

Back

An exterior angle is formed by one side of a triangle and the extension of an adjacent side.

Front

What is the relationship between an exterior angle and its adjacent interior angles?

Back

The exterior angle is equal to the sum of the two non-adjacent interior angles.

Front

What does the symbol '≅' represent in geometry?

Back

The symbol '≅' represents that two figures are congruent.