9th Grade Medians & Altitudes Quizzes, Questions & Answers

9th Grade

Top Trending Medians & Altitudes Quizzes

Want to see how the centroid can prove cool properties of triangles? In this quiz, you’ll apply what you know about medians to solve problems and explore proofs. You’ll see how the centroid divides each median...

Questions: 20 | Attempts: 14 | Last updated: Dec 4, 2025

Sample Question 1
A median of a triangle is drawn from a vertex to ____.

The midpoint of the opposite side

The incenter

The circumcenter

The orthocenter

Sample Question 2
In △ABC, medians AD, BE, and CF intersect at centroid G. Which of the following is always true?

Each median is perpendicular to the opposite side.

The centroid divides each median into two equal parts.

The centroid divides each median so that AG:GD = 2:1.

The centroid lies on the circumcircle of △ABC.

Altitudes and Orthocenter: Proof Applications

Altitudes And Orthocenter: Proof Applications

Want to see how altitudes bring triangles to life? In this quiz, you’ll explore how the three altitudes of a triangle always meet at a single point — the orthocenter. You’ll use geometric reasoning and...

Questions: 20 | Attempts: 11 | Last updated: Dec 2, 2025

Sample Question 1
An altitude of a triangle is:

A line through a vertex that meets the opposite side at a right angle.

A line through a vertex and the opposite side’s midpoint.

A line through a vertex that bisects an angle.

A line segment that is always the longest side.

Sample Question 2
In triangle XYZ, if the orthocenter lies inside the triangle, what type of triangle is XYZ?

Acute

Right

Obtuse

Isosceles

Recent Medians & Altitudes Quizzes

Medians and Altitudes â€” Coordinate Geometry Applications

How do triangle medians and altitudes behave on the coordinate plane? In this quiz, you’ll apply coordinate geometry to locate midpoints, calculate slopes, and determine equations of key segments. You’ll practice...

Questions: 20 | Attempts: 10 | Last updated: Dec 17, 2025

Sample Question
The midpoint of side BC in ΔABC with B(2, 4) and C(6, 8) is

(3, 5)

(5, 7)

(2, 8)

(4, 6)

Medians and Altitudes â€” Conceptual & Computational Understanding

How do medians and altitudes reveal structure inside a triangle? In this quiz, you’ll explore both concepts through diagrams, relationships, and guided reasoning. You’ll practice identifying each segment, work...

Questions: 20 | Attempts: 10 | Last updated: Dec 17, 2025

Sample Question
The point where all medians of a triangle meet is called the

Orthocenter

Incenter

Circumcenter

Centroid