Understanding Medians, Altitudes, and Bisectors in Triangles

What is the primary characteristic of a median in a triangle?

• It forms a 90-degree angle with a side.

• It divides an angle into two equal parts.

• It splits the opposite side into two equal segments.

• It is perpendicular to a side.

Which statement is true about an altitude in a triangle?

• It is perpendicular to the opposite side.

• It splits the opposite side into two equal segments.

• It is a line that divides an angle into two equal parts.

• It always starts from the midpoint of a side.

What is a unique feature of a perpendicular bisector?

• It is perpendicular to a side and splits it into two equal segments.

• It divides an angle into two equal parts.

• It always forms a 45-degree angle with a side.

• It must start from a vertex.

How does an angle bisector function in a triangle?

• It forms a 90-degree angle with a side.

• It is perpendicular to a side.

• It splits the opposite side into two equal segments.

• It divides an angle into two equal parts.

In the example problem, if AM is a median, what can be inferred about BM and MC?

• BM and MC form a 90-degree angle.

• BM is shorter than MC.

• BM and MC are equal in length.

• BM is longer than MC.

In the example problem, if CD is an angle bisector, what is true about the angles it creates?

• They are equal.

• They are supplementary.

• They are complementary.

• They form a 90-degree angle.

What is the measure of angle ABD if BD is an altitude and angle A is 21 degrees?

• 59 degrees

• 111 degrees

• 90 degrees

• 69 degrees

If BD is an altitude, what is the measure of angle DBC given angle B is 59 degrees?

• 69 degrees

• 90 degrees

• 59 degrees

• 31 degrees

What is the sum of angles in a triangle?

• 90 degrees

• 180 degrees

• 360 degrees

• 270 degrees

What is the result when you subtract 111 from 180 in the context of the example problem?

• 69

• 90

• 59

• 31