Front

What type of reasoning is used when starting with a given set of rules and conditions to determine something to be true?

Back

Deductive reasoning is used when starting with general rules or premises to reach a specific conclusion.

Front

How would you classify a triangle with all sides of different lengths?

Back

A triangle with all sides of different lengths is classified as a Scalene triangle.

Front

What is the measure of an exterior angle in a triangle if it is given as 70°?

Back

The exterior angle measures 70°.

Front

If a triangle has angles in the ratio of 1:2:3, what is the measure of the largest angle?

Back

The largest angle measures 90°.

Front

What is the value of angle a if it is given as 67°?

Back

Angle a measures 67°.

Front

Define deductive reasoning in geometry.

Back

Deductive reasoning in geometry involves starting with known facts, definitions, and accepted properties to derive conclusions.

Front

What is a scalene triangle?

Back

A scalene triangle is a triangle in which all three sides are of different lengths.

Front

What is the relationship between the exterior angle and the interior angles of a triangle?

Back

The exterior angle of a triangle is equal to the sum of the two opposite interior angles.

Front

How do you find the measure of an angle in a triangle if the angles are in a specific ratio?

Back

To find the measure of an angle in a triangle with angles in a specific ratio, set up an equation based on the ratio and the fact that the sum of the angles in a triangle is 180°.

Front

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

Back

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