G Ch.5 Test Review

Front

What is the definition of a bisector in geometry?

Back

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

Front

If Ray BD bisects ∡ABC, what can be said about the measures of ∡ABD and ∡CBD?

Back

The measures of ∡ABD and ∡CBD are equal.

Front

What is the relationship between the lengths of segments AD and CD when Ray BD bisects ∡ABC?

Back

AD = CD when Ray BD bisects ∡ABC.

Front

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

Back

Use the triangle sum theorem, which states that the sum of the angles in a triangle is 180 degrees.

Front

What is the circumcenter of a triangle?

Back

The circumcenter is the point where the three perpendicular bisectors of a triangle intersect.

Front

What is the significance of the circumcenter in relation to a triangle?

Back

The circumcenter is equidistant from all three vertices of the triangle.

Front

What is a perpendicular bisector?

Back

A perpendicular bisector is a line that divides a segment into two equal parts at a 90-degree angle.

Front

How can you determine if DE is half the length of BC?

Back

Compare the lengths of DE and BC; if DE = 1/2 BC, then DE is half the length of BC.

Front

What is the measure of an angle formed by two intersecting lines?

Back

The measure of an angle formed by two intersecting lines can be found using the properties of vertical angles, which are equal.

Front

What is the formula for finding the length of a segment in a triangle using the angle bisector theorem?

Back

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