Fireworks - Circumcenter

Task

Find the location of the fireworks equidistant to Pville, EHT, and OC.

Steps

1. Draw a triangle between the three cities. Use 2. Draw Perpendicular Bisectors for all three sides of the triangle. Use 3. Place a point (Circumcenter) in the intersection of all three perpendicular bisectors. Use 4. Measure the distance between the Circumcenter and all three cities. Use 5. Draw a circle using Circumcenter as a center, and the circle going through all cities. Use

Question 1

According to the map, in which city would be the fireworks located equidistant to Pville, EHT, and OC?

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Question 2

What was the distance between the fireworks and each of the three cities?

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Question 3

According to the location of the fireworks (circumcenter), what is the type of triangle between the three cities?

Tick all that apply

A
(A) Acute Triangle
B
(B) Right Triangle
C
(C) Obtuse Triangle

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Question 4

Does the circle passes through all three cities?

Tick all that apply

A
(A) True
B
(B) False

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Question 5

The fireworks (Circumcenter) is the concurrent point of...

Tick all that apply

A
(A) Parallel Lines
B
(B) Perpendicular Lines
C
(C) Perpendicular Bisectors
D
(D) Angle Bisectors

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Question 6

The point of intersection (fireworks) of all three perpendicular bisectors is called...?

Tick all that apply

A
(A) Intersection Point
B
(B) Point of concurrency
C
(C) Circumcenter
D
(D) Circumference

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Question 7

The circle passing through all the cities (points) is the _______ of the triangle.

Tick all that apply

A
(A) Circumference
B
(B) Just a circle around triangle, no name

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Question 8

List the missing words in statement in order: vertices, perpendicular bisectors, circumcenter, equidistant. "The intersection point of all three (a)_____________ _____________ is called (b)_________________. The circumcenter is the point (c) _________________ to all three (d) ____________ of a triangle.

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Fireworks - Circumcenter