Ordering Sides and Angles

Front

What is the relationship between the size of angles and the lengths of the opposite sides in a triangle?

Back

In a triangle, the larger the angle, the longer the side opposite to it. This is known as the Angle-Side Relationship.

Front

How do you determine the largest angle in a triangle?

Back

To determine the largest angle in a triangle, identify the longest side, as the angle opposite this side is the largest.

Front

What is the sum of the angles in any triangle?

Back

The sum of the angles in any triangle is always 180 degrees.

Front

Define acute, obtuse, and right angles.

Back

Acute angles are less than 90 degrees, obtuse angles are greater than 90 degrees but less than 180 degrees, and right angles are exactly 90 degrees.

Front

How can you order angles from largest to smallest?

Back

To order angles from largest to smallest, compare their measures and arrange them accordingly.

Front

What is the smallest angle in a triangle with angles measuring 30°, 60°, and 90°?

Back

The smallest angle is 30°.

Front

If angle A is 45° and angle B is 60°, which angle is larger?

Back

Angle B is larger than angle A.

Front

What is the definition of a triangle?

Back

A triangle is a polygon with three edges and three vertices.

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°.

Front

What is the significance of the Angle-Side Theorem?

Back

The Angle-Side Theorem states that in a triangle, if one side is longer than another, the angle opposite the longer side is larger.