Chapter 1 Quiz-Euler Line

Task 1-Constructing the Circumcenter

[b]DIRECTIONS:[/b][list=1][*]Use the PERPENDICULAR BISECTOR (PB) tool to construct the PB's of this triangle's 3 sides.[/*][*]Plot the intersection of these 3 perpendicular bisectors[b] [/b](circumcenter).[/*][*]Label the circumcenter "P".[/*][/list]

What is the relationship between the circumcenter and the circle?

The circumcenter is on the radius of the circle. The circumcenter is located on the outside of the circle. The circumcenter is the center of the circle. The circumcenter is located on the circumference of the circle.

Task 2-Constructing the Orthocenter

[b]DIRECTIONS:[/b][list=1][*]Use the PERPENDICULAR LINE (PL) tool to construct the PL's of this triangle's 3 sides.[/*][*]Plot the intersection of these 3 perpendicular lines[b] [/b](orthocenter).[/*][*]Label the orthocenter "H".[/*][/list]

For what type of triangle is the orthocenter on the triangle?

Right Obtuse[br] Acute[br] Acute scalene

Task 3-Constructing the Centroid

Directions:[br][br]1. Use the mid-point tool to get the mid-points of the sides. [br][b]2. [/b]Draw a line segment between each of the three vertices and the mid-points on the opposite sides. [br]3. Using an intersecting tool to get the intersecting point of the line segments - centroid. [br]4. Label the centroid "G".

What happens to the centroid when the triangle is obtuse?

The centroid of an obtuse triangle is on the altitude of the triangle. The centroid of an obtuse triangle is on the hypotenuse of the triangle. The centroid of an obtuse triangle is outside of the triangle. The centroid of an obtuse triangle is inside of the triangle.

Chapter 1 Quiz-Euler Line

Task 1-Constructing the Circumcenter

Task 2-Constructing the Orthocenter

Task 3-Constructing the Centroid

정보: Chapter 1 Quiz-Euler Line