5.1.6 - Quiz Review

The centroid is the point where the three medians of a triangle intersect.

The centroid is _____ of the distance from each vertex to the midpoint of the opposite side.

• 2/3

• 3/3

• 4/3

• 5/3

• BD = 7 cm

• BD = 14 cm

• BD = 21 cm

• BD = 28 cm

Answer explanation

• x = 8

• x = 9

• x = 10

• x = 20

Answer explanation

A midsegment connects the midpoints of two sides of a triangle.

The midsegment is _____ to the third side and is _____ as long as that side.

• Parallel; Half

• Parallel; Double

• Perpendicular; Half

• Perpendicular; Double

• x = 7

• x = 14

• x = 56

• Not enough information

Answer explanation

The altitude is the line segment from a vertex to the opposite side, and _____ to that side. An altitude can be inside or outside the triangle.

The orthocenter of a triangle is the point where the three altitudes of the triangle intersect.

• Perpendicular

• Parallel

• Equal

• Shorter Than

• x = 17

• x = 19

• x = 86

• x = 90

Answer explanation

Complete the statement.

An altitude is _____ the same segment as an angle bisector.

• Always

• Sometimes

• Never

Answer explanation

The answer is sometimes.

For an equilateral triangle, the altitude will also be an angle bisector.

For a scalene triangle, the altitude will NOT be an angle bisector.

The median of a triangle is a line from a vertex to the _____ of the opposite side. In other words, the median bisects the opposite side.

• Midpoint

• Vertex

• Perpendicular

• Intersection Point

• x = 1

• x = 6

• x = 13

• x = 26

Answer explanation

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

Because of this, T is the midpoint of side QP. Use this to set up an equation and solve for x.