Triangles Check for Understanding

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

Define remote interior angles in relation to an exterior angle.

Back

Remote interior angles are the two interior angles of a triangle that are not adjacent to a given exterior angle.

Front

What are the classifications of triangles based on their sides?

Back

Triangles can be classified as equilateral (all sides equal), isosceles (two sides equal), or scalene (no sides equal).

Front

What are the classifications of triangles based on their angles?

Back

Triangles can be classified as acute (all angles less than 90 degrees), right (one angle equal to 90 degrees), or obtuse (one angle greater than 90 degrees).

Front

How do you find the measure of an unknown angle in a triangle?

Back

To find the measure of an unknown angle in a triangle, subtract the sum of the known angles from 180 degrees.

Front

What is the relationship between the angles in an isosceles triangle?

Back

In an isosceles triangle, the angles opposite the equal sides are also equal.

Front

What is the formula for the area of a triangle?

Back

The area of a triangle can be calculated using the formula: Area = 1/2 * base * height.

Front

How do you determine if a triangle is obtuse?

Back

A triangle is obtuse if one of its angles measures greater than 90 degrees.

Front

What is the Pythagorean theorem and how is it used in triangles?

Back

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides (a² + b² = c²).

Front

What is the definition of an exterior angle of a triangle?

Back

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