Triangle Segments Mixed Practice

Front

What is an altitude in a triangle?

Back

An altitude is a segment from a vertex of a triangle perpendicular to the line containing the opposite side.

Front

What is a median in a triangle?

Back

A median is a segment from a vertex to the midpoint of the opposite side.

Front

What is a midsegment in a triangle?

Back

A midsegment is a segment that connects the midpoints of two sides of a triangle.

Front

How do you find the length of a midsegment?

Back

The length of a midsegment is half the length of the third side of the triangle.

Front

If segment AB is an altitude, what does that imply about its relationship to side CD?

Back

Segment AB is perpendicular to side CD.

Front

In triangle BCD, if QR is a midsegment, what can be said about the lengths of segments BQ and DC?

Back

BQ is equal to half the length of DC.

Front

What is the relationship between the lengths of the segments formed by an altitude in a right triangle?

Back

The altitude creates two smaller right triangles that are similar to the original triangle.

Front

If a triangle has an altitude of length 21, what can be inferred about the area of the triangle?

Back

The area can be calculated using the formula: Area = 1/2 * base * height.

Front

What is the significance of the altitude in determining the area of a triangle?

Back

The altitude is crucial as it represents the height used in the area formula.

Front

If segment BX is an altitude, what type of triangle is formed if BX is drawn from vertex B?

Back

A right triangle is formed if BX is perpendicular to the base.