angle bisector flashcard

Front

What is an angle bisector?

Back

An angle bisector is a line or ray that divides an angle into two equal parts.

Front

If an angle measures 90 degrees, what are the measures of the angles formed by its bisector?

Back

Each angle formed by the bisector will measure 45 degrees.

Front

How do you find the measure of an angle when given the measures of the other angles in a triangle?

Back

The sum of the angles in a triangle is always 180 degrees. Subtract the sum of the known angles from 180 to find the unknown angle.

Front

What is the relationship between the angles formed by two intersecting lines?

Back

The opposite angles formed by two intersecting lines are equal, and the adjacent angles are supplementary (sum to 180 degrees).

Front

In a triangle, if one angle measures 34 degrees, what is the maximum possible measure of the other two angles?

Back

The maximum possible measure of the other two angles is less than 146 degrees, since the sum of all angles must equal 180 degrees.

Front

What is the measure of an angle if its bisector divides it into two angles measuring 37 degrees and 37 degrees?

Back

The measure of the original angle is 74 degrees.

Front

If angle ABC measures 34 degrees, what can be said about angle CBD if it is formed by the same ray?

Back

Angle CBD also measures 34 degrees, as it is the same angle.

Front

How do you calculate the measure of an unknown angle when given an equation involving it?

Back

Isolate the variable in the equation to find the measure of the unknown angle.

Front

What is the angle bisector theorem?

Back

The angle bisector theorem states that the ratio of the lengths of the two segments created by the angle bisector on the opposite side is equal to the ratio of the lengths of the other two sides of the triangle.

Front

If two angles are equal, what can be inferred about their bisectors?

Back

The bisectors of two equal angles will also be equal.