HON Ch 1.8 Triangle & Quad Sum, Exterior <'s Sum, Classify

Front

What is a triangle?

Back

A triangle is a polygon with three edges and three vertices. It is classified based on its sides and angles.

Front

What are the types of triangles based on angles?

Back

1. Acute Triangle: All angles are less than 90 degrees. 2. Right Triangle: One angle is exactly 90 degrees. 3. Obtuse Triangle: One angle is greater than 90 degrees.

Front

What are the types of triangles based on sides?

Back

1. Equilateral Triangle: All sides are equal. 2. Isosceles Triangle: Two sides are equal. 3. Scalene Triangle: All sides are different.

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

What is an exterior angle of a triangle?

Back

An exterior angle is formed by one side of the triangle and the extension of an adjacent side. The exterior angle is equal to the sum of the two opposite interior angles.

Front

What is the Triangle Sum Theorem?

Back

The Triangle Sum Theorem states that the sum of the interior angles of a triangle is equal to 180 degrees.

Front

Can a triangle have two right angles?

Back

No, a triangle cannot have two right angles because the sum of the angles would exceed 180 degrees.

Front

What is an acute isosceles triangle?

Back

An acute isosceles triangle is a triangle with two equal sides and all angles measuring less than 90 degrees.

Front

What is the formula to find the measure of an exterior angle?

Back

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

Front

If one angle of a triangle is 75 degrees, what is the maximum possible measure of the other two angles?

Back

The maximum possible measure of the other two angles combined is 105 degrees, since the total must equal 180 degrees.