Geometry: Angles in Triangles

Front

What is 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. It is equal to the sum of the two remote interior angles.

Front

What does SAA stand for in triangle congruence?

Back

SAA stands for 'Side-Angle-Angle', a method to prove triangles congruent by showing two angles and the included side are equal.

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for 'Side-Side-Side', a method to prove triangles congruent by showing all three sides of one triangle are equal to the three sides of another triangle.

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for 'Side-Angle-Side', a method to prove triangles congruent by showing two sides and the included angle are equal.

Front

What is the SSA condition in triangle congruence?

Back

SSA stands for 'Side-Side-Angle', which is not a valid method for proving triangle congruence because it can lead to ambiguous cases.

Front

How do you find the missing angle in a triangle if two angles are known?

Back

To find the missing angle, subtract the sum of the known angles from 180 degrees, since the sum of angles in a triangle is always 180 degrees.

Front

If one angle of a triangle is 110 degrees, what is the sum of the other two angles?

Back

The sum of the other two angles is 70 degrees, since 180 - 110 = 70.

Front

What is the relationship between corresponding angles when two parallel lines are cut by a transversal?

Back

Corresponding angles are equal when two parallel lines are cut by a transversal.

Front

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

Back

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

Front

If angle A is 40 degrees and angle B is 70 degrees, what is angle C in triangle ABC?

Back

Angle C is 70 degrees, since 180 - (40 + 70) = 70.