4.7 Preap Geometry Special Segments And Points Of Concurrency

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.

Learn about Our Editorial Process

| By Blinda Windham

Blinda Windham

Community Contributor

Quizzes Created: 9 | Total Attempts: 1,786

Questions: 21 | Attempts: 145 | Updated: Jul 29, 2024

Questions

Settings

Feedback

During the Quiz End of Quiz

Play as

Quiz Flashcard

Create your own Quiz

4.7 Preap Geometry Special Segments And Points Of Concurrency - Quiz

This is a worksheet over the vocabulary of special segments.

Questions and Answers

Quiz Review Timeline +

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

Current Version
Jul 29, 2024

Quiz Edited by
ProProfs Editorial Team
Nov 04, 2012

Quiz Created by
Blinda Windham

4.7 Preap Geometry Special Segments And Points Of Concurrency

In a triangle, a perpendicular bisector is to a side of the triangle and intersects that side at its __. Ckeck the choices that best fit the blanks.

True or False. In a triangle, an angle bisector divides an angle into two congruent angles.

True or False. In a triangle, a median connects a vertex with the midpoint of the opposite side.

In a triangle, an altitude connects a midpoint with the line containing the opposite side, and is perpendicular to that line.

Choose the best appropriate answer for the blank. In an _____________ triangle, the circumcenter, incenter, centroid, and orthocenter are the same point.

Choose the best appropriate answer for the black. In an isosceles triangle, the altitude from the _________________ to the base is also a perpendicular bisector, an angle bisector, and a median.

Always, Sometimes or Never. A median of a triangle _____________________ has a midpoint as an endpoint.

Always, Sometimes, or Never. A median of a triangle ______________________ lies outside of the triangle.

Always, Sometimes, or Never. A perpendicular bisector of a triangle _____________ contains a vertex of the triangle.

Always, Sometimes, or Never. The angle bisectors of a triangle _________________ intersect at a single point.

Always, Sometimes, or Never. The circumcenter of a triangle __________________ lies outside the triangle.

Always, Sometimes, or Never. The centroid of a triangle _____________________ lies outside the triangle.

Which of the following equations best matches the line containing the altitude of triangle ABC through vertex B?

Which of the following equations best matches the line containing the median of triangle ABC through vertex A?

V is the centroid of triangle PRT shown below. If QV = 3, then QT = _____ .

V is the centroid of triangle PRT shown below. If VS = 7, then PV = _____.

V is the centroid of triangle PRT shown below. QV = 3m – 1 and QT = 7m + 3. Find the value of m, then find VT.

Using the figure below, Triangle ABC is isosceles and <A is the vertex angle. AD is the perpendicular bisector of BC. If BC = 2x² and BD = 4x + 21 find the value(s) of x.

4.7 Preap Geometry Special Segments And Points Of Concurrency

In a triangle, a perpendicular bisector is __________________ to a side of the triangle and intersects that side at its ____________________. Ckeck the choices that best fit the blanks.

True or False. In a triangle, an angle bisector divides an angle into two congruent angles.

True or False. In a triangle, a median connects a vertex with the midpoint of the opposite side.

In a triangle, an altitude connects a midpoint with the line containing the opposite side, and is perpendicular to that line.

Choose the best appropriate answer for the blank. In an _____________ triangle, the circumcenter, incenter, centroid, and orthocenter are the same point.

Choose the best appropriate answer for the black. In an isosceles triangle, the altitude from the _________________ to the base is also a perpendicular bisector, an angle bisector, and a median.

Always, Sometimes or Never. A median of a triangle _____________________ has a midpoint as an endpoint.

Always, Sometimes, or Never. A median of a triangle ______________________ lies outside of the triangle.

Always, Sometimes, or Never. A perpendicular bisector of a triangle _____________ contains a vertex of the triangle.

Always, Sometimes, or Never. The angle bisectors of a triangle _________________ intersect at a single point.

Always, Sometimes, or Never. The circumcenter of a triangle __________________ lies outside the triangle.

Always, Sometimes, or Never. The centroid of a triangle _____________________ lies outside the triangle.

Which of the following equations best matches the line containing the altitude of triangle ABC through vertex B?

Which of the following equations best matches the line containing the median of triangle ABC through vertex A?

V is the centroid of triangle PRT shown below. If QV = 3, then QT = _____ .

V is the centroid of triangle PRT shown below. If VS = 7, then PV = _____.

V is the centroid of triangle PRT shown below. QV = 3m – 1 and QT = 7m + 3. Find the value of m, then find VT.

Using the figure below, Triangle ABC is isosceles and <A is the vertex angle. AD is the perpendicular bisector of BC. If BC = 2x2 and BD = 4x + 21 find the value(s) of x.

In a triangle, a perpendicular bisector is to a side of the triangle and intersects that side at its __. Ckeck the choices that best fit the blanks.

Using the figure below, Triangle ABC is isosceles and <A is the vertex angle. AD is the perpendicular bisector of BC. If BC = 2x² and BD = 4x + 21 find the value(s) of x.