4.6 More Special Segments In A Triangle

Approved & Edited by ProProfs Editorial Team
The editorial team at ProProfs Quizzes consists of a select group of subject experts, trivia writers, and quiz masters who have authored over 10,000 quizzes taken by more than 100 million users. This team includes our in-house seasoned quiz moderators and subject matter experts. Our editorial experts, spread across the world, are rigorously trained using our comprehensive guidelines to ensure that you receive the highest quality quizzes.
| By Blinda Windham
B
Blinda Windham
Community Contributor
Quizzes Created: 9 | Total Attempts: 1,757
Questions: 14 | Attempts: 173

Settings

The Segments in a Triangle are perpendicular bisectors, angle bisectors, medians, altitudes, and midsegments.

• 1.

Given the following picture and markings, identify if the dotted line is an angle bisector, a perpendicular bisector, an altitude, a misegment or a median.  Choose the one that best represents the dotted line.

• A.

Perpendicular Bisector

• B.

Altitude

• C.

Median

• D.

Midsegment

D. Midsegment
Explanation
The dotted line in the picture is best represented as a midsegment. A midsegment is a line segment that connects the midpoints of two sides of a triangle. In the given picture, the dotted line appears to connect the midpoints of two sides of a triangle, making it a midsegment.

Rate this question:

• 2.

Given the following picture and markings, identify if the dotted line is an angle bisector, a perpendicular bisector, an altitude, a misegment or a median.  Choose the one that best represents the dotted line.

• A.

Perpendicular Bisector

• B.

Angle Bisector

• C.

Median

• D.

Altitude

B. Angle Bisector
Explanation
The given picture and markings do not provide enough information to determine if the dotted line is a perpendicular bisector, a median, or an altitude. However, based on the markings, it can be inferred that the dotted line is an angle bisector.

Rate this question:

• 3.

Given the following picture and markings, identify if the dotted line is an angle bisector, a perpendicular bisector, an altitude, a misegment or a median.  Choose the one that best represents the dotted line.

• A.

Perpendicular Bisector

• B.

Angle Bisector

• C.

Altitude

A. Perpendicular Bisector
Explanation
The correct answer is "Perpendicular Bisector" because a perpendicular bisector is a line that divides a line segment into two equal parts at a right angle. In the given picture, the dotted line is shown dividing the line segment into two equal parts, and it is perpendicular to the line segment. Therefore, it can be identified as a perpendicular bisector.

Rate this question:

• 4.

Given the following picture and markings, identify if the dotted line is an angle bisector, a perpendicular bisector, an altitude, a misegment or a median.  Choose the one that best represents the dotted line.

• A.

Median

• B.

Angle Bisector

• C.

Altitude

A. Median
Explanation
The given picture and markings indicate that the dotted line is a median. In a triangle, a median is a line segment that connects a vertex to the midpoint of the opposite side. It divides the opposite side into two equal segments.

Rate this question:

• 5.

Given the following picture and markings, identify if the dotted line is an angle bisector, a perpendicular bisector, an altitude, a misegment or a median.  Choose the one that best represents the dotted line.

• A.

Median

• B.

Angle Bisector

• C.

Altitude

A. Median
Explanation
The correct answer is Median. A median is a line segment that connects a vertex of a triangle to the midpoint of the opposite side. In the given picture, the dotted line connects a vertex of the triangle to the midpoint of the opposite side, which is the definition of a median. Therefore, the dotted line represents a median.

Rate this question:

• 6.

Given the following picture and markings, identify if the dotted line is an angle bisector, a perpendicular bisector, an altitude, a misegment or a median.  Choose the one that best represents the dotted line.

• A.

Altitude

• B.

Perpendicular Bisector

• C.

Median

A. Altitude
Explanation
The correct answer is "Altitude". In the given picture, the dotted line is perpendicular to the base of the triangle and passes through one of the vertices. This is the definition of an altitude in a triangle.

Rate this question:

• 7.

Given the following picture and markings, identify if the dotted line is an angle bisector, a perpendicular bisector, an altitude, a misegment or a median.  Choose the one that best represents the dotted line.

• A.

Median

• B.

Angle Bisector

• C.

Altitude

B. Angle Bisector
Explanation
The given answer is "Angle Bisector" because an angle bisector is a line that divides an angle into two equal parts. In the given picture, the dotted line appears to be dividing the angle formed by the two lines into two equal parts, indicating that it is an angle bisector.

Rate this question:

• 8.
• A.

Median x = 1

• B.

Median x = 10

• C.

Median x = 7

C. Median x = 7
• 9.
• A.

Angle Bisector x = 15

• B.

Angle Bisector x = 13

• C.

Angle Bisector x = 10

B. Angle Bisector x = 13
• 10.
• A.

2/1

• B.

1/2

• C.

-1/2

C. -1/2
• 11.
• A.

Perpendicular Bisector

• B.

Angle Bisector

• C.

Median

A. Perpendicular Bisector
• 12.
• A.

N = 8

• B.

N = 6

• C.

N = 5

C. N = 5
• 13.
• A.

60

• B.

56

• C.

24

B. 56
• 14.
• A.

-3/2

• B.

2/3

• C.

-2/3

B. 2/3

Quiz Review Timeline +

Our quizzes are rigorously reviewed, monitored and continuously updated by our expert board to maintain accuracy, relevance, and timeliness.

• Current Version
• May 31, 2024
Quiz Edited by
ProProfs Editorial Team
• Nov 06, 2012
Quiz Created by
Blinda Windham

Related Topics