Chapter 1 Quiz-Euler Line

Task 1-Constructing the Circumcenter

DIRECTIONS:

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 (circumcenter).
Label the circumcenter "P".

What is the relationship between the circumcenter and the circle?

Select all that apply

A
The circumcenter is on the radius of the circle.
B
The circumcenter is the center of the circle.
C
The circumcenter is located on the circumference of the circle.
D
The circumcenter is located on the outside of the circle.

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Task 2-Constructing the Orthocenter

DIRECTIONS:

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 (orthocenter).
Label the orthocenter "H".

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

Select all that apply

A
Acute
B
Right
C
Obtuse
D
Acute scalene

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Task 3-Constructing the Centroid

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

What happens to the centroid when the triangle is obtuse?

Select all that apply

A
The centroid of an obtuse triangle is inside of the triangle.
B
The centroid of an obtuse triangle is outside of the triangle.
C
The centroid of an obtuse triangle is on the hypotenuse of the triangle.
D
The centroid of an obtuse triangle is on the altitude of the triangle.

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Chapter 1 Quiz-Euler Line

Task 1-Constructing the Circumcenter

Task 2-Constructing the Orthocenter

Task 3-Constructing the Centroid

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